If for a particular one-to-one function f(2) = 13, what are the corresponding input and output
values for the inverse function?

Answers

Answer 1

Answer:

[tex]f^{-1}(13) = 2[/tex].

Step-by-step explanation:

For function [tex]f[/tex], the notation [tex]f(2) = 13[/tex] means that when the input to the function is [tex]2[/tex], the output would be [tex]13[/tex].

The inverse function of a one-to-one function [tex]f[/tex] is commonly denoted as [tex]\!f^{-1}[/tex].

The inverse function undoes the action of the original function. In this question, [tex]f[/tex] maps [tex]2[/tex] to [tex]13[/tex]. Thus, [tex]f^{-1}[/tex] would need to map [tex]13\![/tex] back to [tex]2\![/tex]. Therefore, [tex]f^{-1}(13) = 2[/tex] should be the corresponding input and output values.


Related Questions

Does anyone know the answer ASAP! Please and Thankyou!

Answers

Answer:

m=-2 and b=3

Step-by-step explanation:

One way to find slope is to use rise over run (most useful when there is a graph). First find any two points along the line where it intersects with a point on the grid. (1,1); (2,-1) and (3,-3) are some examples. Then count how many spaces vertically and then horizontally it takes to get to the next point. In this case it is two spaces down (rise) and 1 space right (run). So rise/run = 2/1 =2. That is your slope. Because it is pointing downwards or decreasing we know it is a negative slope.

The y-intercept is just where the line intercepts with the y-axis. In other words, when x=0 what does y equal? Here it is 3.

Help!! Which one is it?

Answers

Answer: Choices A and C

Reason:

A) The mode is 134 because the leaf 4 shows up the most for the stem of 13, and for any other stem as well. In other words, stem = 13 and leaf = 4 combine to the value 134 which shows up the most (a total of 5 times) compared to the other numbers. Therefore, we have a true statement.B) In the first row, the leaf 1 shows up three times. This leads to the number 101 (not 111) showing up 3 times. Therefore, statement B is false.C) This is also true. Visually the length of the leaves for the stem 13 is the longest. We have 8 leaves here which is the most of any other row.D) This is false. The leaf counts for the rows from top to bottom are: 6, 4, 0, 8, 2, 3. Those numbers add up to 23. This means there are 23 values (not 20) in the data set.

What is the volume in cubic in, of a rectangular prism with a height of 19in, a width
of 17in, and a length of 18in?

Answers

Answer:

5,814 inches cubed

Step-by-step explanation:

lengthxwidthxheight=volume of a rectangular prism.

19 times 17 times 18 equals 5,814 inches cubed. It is cubed because it is a three-dimensionsal shape. Hope this helps!

Type the correct answer in each box. Use numerals instead of words.
The domain of this function is {-12, -6, 3, 15}.

y= -2/3x+7

Complete the table based on the given domain.

Answers

Answer:

see the attachment!

i hope this can help you.

Lucy was born on 11/09/1993. How many eight-digit codes could she make using the digits in her birthday?

Answers

The number of eight-digit codes could she make using the digits in her birthday is 1120 digits

Since the order of the arrangement of the digits matter, we use permutations

What are permutations?

Permuations are the number of ways of arranging n objects in r ways. It is given as ⁿPₓ = n(n - 1)(n -2)...(n - x + 1). If we have r identical objects out of n objects, the number of arrangements are n!/r!

Now, since in the date Lucy was born 11/09/1993 has eight digits, we need to find the number of permutations the eight digits of her birthday to form an eight digit code.

Since there are 8 digits, three one's, three nine's, one 1 and one 3.

The number of permutations of these digits in an eight digit code, since we have repeated objects are n = 8!/3!3!1!1!

= 40320/6 × 6 × 1 × 1

= 40320/36

= 1120 digits

So, the number of eight-digit codes could she make using the digits in her birthday is 1120 digits

Learn more about permutations here:

https://brainly.com/question/5708836

#SPJ1

7. Subtract (5 – 7p) from (2p – 3).

Show the mathematical expression as a
subtraction problem and then simplify. Show all work.

Answers

Answer:

= (2p-3)-(5-7p)

= 2p-3-5+7p

= 2p+7p-3-5

= 9p-8

Insert three rational numbers between -1/3 and -2/3.

Answers

Answer:

-5/12 , -1/2 ,-7/12

Step-by-step explanation:

a = -1/3

b= -2/3

n = 5

d = b- a/n+1

d= (-2/3 + 1/3)/(5+1)

d = -1/12

numbers are :

-1/3 , -1/3-1/12 , -1/3-2/12 , -1/3-3/12, -2/3

hence number are:

-1/3,-5/12,-1/2,-7/12,-2/3

Prove that the bisector of the angle formed by a tangent and a chord drawn from the point of tangency divides the intercepted arc into two congruent arcs.​

Answers

Answer:

Step-by-step explanation:

please help me get a A

Answers

Answer:

y = 1/2 x.

Step-by-step explanation:

Each value of y is 1/2 of x.


It has been observed in one country, that 59 out of every 100 births is a baby with brown eyes. In 640 births how many brown eyed babies would you expect?

Answers

Answer:

377.6

Step-by-step explanation:

You do the ratio of 59/100 and then divide 640 by 100. Then you will get 6.4.

Multiply 59×6.4=377.6

What is true about the slope of the function below
y = 4x + 3

Answers

       - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -- - - -

[tex]\blue{\textsf{\textbf{\underline{\underline{Question:-}}}}}[/tex]

Which is true about the slope of the function y=4x+3?

[tex]\blue\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}[/tex]

The slope of the function y=4x+3 is 4; in equations like this one, the slope is simply the number before x.

The rise is 4, and the run is 1.

Remember, slope is also defined as "Rise/Run"

[Note:- You haven't listed any options here, could you kindly add them in the comments?]

Good luck.

        - - - -- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -- - - - - - - - -- -

What is the length of the missing side of this triangle?
13
?
9
A
250
В
22
С
15.81

Answers

Answer:  C - 15.81

Step-by-step explanation:

pythagorean theorum: a^2 + b^2 = c^2

13^2 + 9^2 = c^2

169 + 81 = c^2

c^2 = 250

root both sides

c = 15.81

Pls ingore all of the questions below, but help me with the attached image

What is the only number that has the same number of letters as it's meaning? ...
What number doesn't have its own Roman numeral? ...
What is the only even prime number? ...
What is the smallest perfect number? ...
What is our current numerical system based on? ...
Is Pi a rational or irrational number?

Answers

Answer:

A = 51

Step-by-step explanation:

I'm not sure if it is correct but here is my working

180=41+2a+a-14

180=3a+27

153=3a

51=a

Answer:

a=51

Explaination-

ABC + ACB + BAC = 180°

(a-14)° + 2a + 41° = 180°

a=51

Find the vertex, axis of symmetry, and y-intercept of the quadratic function.

Answers

Answer:

Vertex: (4, 12)Axis of symerty: x = 4y - inrercept: -4

Step-by-step explanation:

The vertex form of quadratic function f(x) = ax² + bx + c:

f(x) = a(x - h)² + k

(h, k) - coordinates of a vertex

h = -b/2a

k = f(h)

We have f(x) = -x² + 8x - 4 ⇒ a = -1, b = 8, c = -4.

h = -8/(2 · (-1)) = -8/(-2) = 4

k = f(4) = -4² + 8 · 4 - 4 = -16 + 32 - 4 = 12

Vertex (4, 12)

Axis of symerty = h: x = 4

y - inrercept f(0) = c: -4

Answer:

See below ~

Step-by-step explanation:

Details of Graph

Vertex = (4, 12)Axis of Symmetry : x = 4Y-intercept : -4

NEED help pls ty. Will mark brainliest

Answers

Digiorno pizza got u covered its A

Three girls on a high school track-and-field team practiced the shot put. Each gin
made 10 attempts, and the distances measured after each attempt are shown on
the line plots.
Which girl's range of distances was the GREATEST?
A. Candace
B. Sara
C. Rosie
D. All girls traveled the same distance

Answers

Answer:

Its ginger bread man because Sara ate the bread and it was gingery

PLS PLS HELP HELP ME ITS EASY ITS FREE PONTS LOL

Answers

Answer:

92 degrees

Step-by-step explanation:

180-88

=92

~rere

they are correct it is 92 degrees

The height of a triangle is 9 feet less than twice the length of its base. Its area is 9 square feet. What are the dimensions of its base and height? Recall that the area of a triangle is 1/2bh.

Its base is ____ feet and its height is ____ feet.

Answers

Step-by-step explanation:

If we let the length of the base be b, then the height is 2b-9.

This means that (1/2)(b)(2b-9)=9

b(2b-9) = 18

2b^2 - 9b = 18

2b^2 - 9b - 18 = 0

(2b+3)(b-6)=0

b = -3/2 or b= 6 (disregard b = -3/2 as distance is positive)

This means b =6, and thus the height is 2(6)-9=3.

*100 POINTS, WILL ALSO RECEIVE BRAINLIEST*

The graph below shows a company's profit f(x), in dollars, depending on the price of erasers x, in dollars, sold by the company:

Part A: What do the x-intercepts and maximum value of the graph represent? What are the intervals where the function is increasing and decreasing, and what do they represent about the sale and profit? (4 points)

Part B: What is an approximate average rate of change of the graph from x = 1 to x = 4, and what does this rate represent? (3 points)

Part C: Describe the constraints of the domain.

Answers

Part A: The x-intercept represents the maximum amount of profit the company makes depending on the price of erasers. The intervals would be the prices of the erasers, and they represent the correlation between sale and profit. For example, when each eraser costs $4, the company makes the max profit of $270.

Part B: The average rate of change would be $91.875 and the rate represents that, on average, for each dollar that the price of the eraser jumps, the profit jumps an average of $91.875.

Part C: The constraints of the domain would be things like how the price of the erasers cannot go less than $0 or above $8; 0 [tex]\leq[/tex] x [tex]\leq[/tex] 8.

Answer:

Person above is correct I think.

Step-by-step explanation:

Where does Pythagorean identities and also how it relates to the right triangles

Answers

Answer:

A pythagorean identity means that for any angle [tex]\theta[/tex], [tex]sin^2\theta+cos^2\theta=1[/tex].

This also means [tex]1+tan^2\theta=sec^2\theta \mbox{ and } 1+cot^2\theta=csc^2\theta.[/tex] The symbol, theta ([tex]\theta[/tex]) represents one of the acute angles in the right triangle. The hypotenuse (familiarly c in the regular pythagorean theorem) is 1. The triangle base is [tex]cos\theta[/tex], and the height (side perpendicular to the base, making a right angle) is [tex]sin\theta[/tex]. The angle theta is opposite the [tex]sin\theta[/tex] side.

Step-by-step explanation:

The pythagorean theorem applies to right triangles, which always have a 90 degree angle. Pythagorean identities are used to simplify trigonometric expressions/evaluate trig functions and to find the trig ratios in a right triangle.

Answer:

The Pythagorean identities are

[tex]sin^{2} x + cos^{2} x = 1\\1+ tan^{2} x = sec^{2} x\\1 + cot^{2} x = csc^{2} x\\where\\csc x = \frac{1}{sinx} \\cot x = \frac{cosx}{sinx} or \frac{1}{tanx} \\tan x = \frac{1}{cotx} or \frac{sinx}{cosx} \\sec x = \frac{1}{cotx}[/tex]

No matter what the value of x (the angle degree amount) is, sin²x+cos²x is equal to 1

When given a side length of a right triangle you will be able to use one of these identities to find the angle amount

state if the triangles are congruent. if so, name the theorem/postulate

Answers

Answer:

  congruent by the SSS congruence postulate

Step-by-step explanation:

The hash marks tell you each side of one triangle has a congruent corresponding side in the other triangle.

__

The triangles are congruent by the SSS congruence postulate.

A bag contains 2 red marbles, 7 blue marbles and 8 green marbles. If two marbles are drawn out of the bag, what is the exact probability that both marbles drawn will be blue?

Answers

The overall probability it 7/17

Will make brainiest and you only have to answer at least one question.

The speed of sound in air at 20 degrees Celsius is 343 meters / second. What would the speed of sound be in miles per second?

The F-16 jet can fly at speeds up to 1,500 miles per hour. How many kilometers per hour can it fly?​

Answers

Answer:

see below

Step-by-step explanation:

342 m/s    *  1.09361329834  yd /m  *  1 mile / 1760 yards = .21251 mi/s

1500 mi / hr  *   1609.344 meters / mile   * 1 km / 1000 m = 2414 km/hr

In what form is the following linear equation written?
v-3 ={(x-1)
O A. Slope-intercept
B. Standard
O C. Point-slope
D. Rise-run
SHRM

Answers

C) point-slope
the formula for point-slope form is always:
y-y1=m(x-x1) which matches C.

How do you find out What is 3/8 x 4?

Answers

Answer: 1.5 (Decimal Form) or 3/2 (Exact Form)

Step-by-step explanation:

So what you do is put the whole number which in this case is 4, into a fraction so your problem will look like this:

3 / 8 * 4 / 1 =

Then, you will have to multiply all the numbers across:

3 * 4 = 12

8 * 1 = 8

Your answer will then look like this:

12 / 8

You will have to simplify with the greatest common factor which would be 4:

12 / 4 = 3

8 / 4 = 2

So, you get your answer:

3 / 2 or 1.5

If the area of a circle is 40 pi square cm, find the radius.

Answers

area equation is pi*r^2. divide by pi then square root. so the answer is the square root of 40

Answer:

√40 centimeters

Step-by-step explanation:

Given :

Area of circle = 40π cm²

===========================================================

Formula for area of a circle :

Area = πr²

===============================================================

Equating the given term and formula to find r :

⇒ 40π = πr²

⇒ r² = 40

⇒ r = √40 centimeters

Analytically show that the equation below represents trigonometric identity statements for questions 5-7

Answers

Analytically show that the equation below represents trigonometric

Find the area of the shaded region. 10 ft 10 ft​

Answers

Answer: Its 10 ft

Step-by-step explanation: because if one side is the number the other side is going to be the same number

please choose me as brainly

4. Add
f(x)= 4x?+5x-1
g(x) = 2x2 + 5x+3

Answers

Answer:

A. 3x² +6

Explanation:

(f-g)(x) = f(x) -g(x) = (4x²+1) -(x²-5) . . . . . substitute the function definitions

... = 4x² +1 -x² +5 . . . . . . . . . . . eliminate parentheses

... = (4-1)x² +(1+5) . . . . . . . . . . . collect like terms

... = 3x² +6

PLS PLS HELP HELP ME ITS EASY ITS FREE PONTS LOL

Answers

Answer:

58 degrees

Step-by-step explanation:

90-32

=58

~rere

Answer:

angle b measures 58°

Explanation:

As we know that, the sum of complementary angles is always equal to 90°.

Therefore,

angle a + angle b = 90°

32° + angle b = 90°

angle b = 90° - 32°

angle b = 58°

HOPE THIS HELPS AND HAVE A NICE DAY <3

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