f(x) = 3x + 10, g(x) = x - 2, Find g(f(x))

Answers

Answer 1

Answer with step-by-step explanation:

If g(x) = x - 2, then g(f(x)) = f(x) - 2. So the whole equation would be: 3x + 10 × x - 2. Simplified: g(f(x)) = 13x - 2

Hope this helped!

Answer 2

The composite function g(f(x)) = 3x + 8 if the f(x) = 3x + 10, g(x) = x - 2 after applying the concept of the composite function.

What is a function?

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

It is given that:

f(x) = 3x + 10

g(x) = x - 2

It is required to find the g(f(x))

g(f(x)) representing the composite function:

Plug f(x) = 3x + 10

In the function g(x):

g(f(x)) = (3x + 10) - 2

g(f(x)) = 3x + 8

Thus, the composite function g(f(x)) = 3x + 8 if the f(x) = 3x + 10, g(x) = x - 2 after applying the concept of the composite function.

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Related Questions

Which set of numbers are closed under subtraction?
Natural Numbers
Integers
Irrational Numbers
Odd Numbers

Answers

The set of numbers that provide closure under subtraction are Integers

For some reason, in our history class, there are 14 more boys than there are girls. If a total 32 students are in the class, how many boys and how many girls are there

Answers

Answer:

We can assume X is the number of girl, so the number of boy should be X+6.

 

Based on question, we can get X+X+6=32

2X+6=32

2X=26

X=13

So the answer is, 13 girls are in the class.

Step-by-step explanation:

Write an equation of the line. I need help plz

Answers

Okay now the formula for a linear equation is y = mx + b . We are only supposed to substitute the m ( slope ) and b ( y intercept ) and you have all of that information.

Therefore, the answer would be
y = 3x - 2

Rewrite 1/4 books 1/3 hour as a unit rate.

A. 12 books/hour
B. 1 1/3 books/hour
C. 3/4 books/hour
D. 1/12 books/hour​

Answers

The answer for this question would be C!!

Answer:

c. 3/4

Step-by-step explanation:

I NEED HELP!! I WILL GIVE BRAINLIEST PLUS 15 POINTS

Answers

What the top Awnser was it was right so yea

Answer:

the first one

Step-by-step explanation:

The model was shaded two different ways to show a product

Which product is shown by the model?
A-1/3 x 1/5
B-1/3 x 2/5
C-2/3 x 1/5
D-2/3 x 2/5

Answers

Answer:

Step-by-step explanation:

You kinda need to show the model for people to answer the question-

NEED HELP FAST!! Thank YOU AND I WILL GIVE BRAINLIEST

Answers

Answer:

C (third option)

V = 21.66 - 4.1i

Step-by-step explanation:

Total voltage is V₁ + V₂

V₁ = 13.52 - 7.89i

V₂ = 8.14 + 3.79i

Hence add these values together and you would get the total voltage

V = 13.52 - 7.89i + 8.14 + 3.79i

V = 13.52 + 8.14 - 7.89i + 3.79i

V = 21.66 - 4.1i

an equivalent name for 96??

Answers

Answer:

Ninety-six

Step-by-step explanation:

An equivalent name for 96 is ninety-six. Word form is equivalent to number form. I hope I helped!

Construct a line through R that is perpendicular to the line​

Answers

Answer: just did it 3 secs. ago

Step-by-step explanation:

The answer is shown below.

Perpendicular:In simple geometry, two geometric objects cross at a right angle ( [tex]90^{0}[/tex]degrees or [tex]\frac{\pi }{2}[/tex] radians ) if they are perpendicular to one another.If two lines cross at a right angle, they are said to be perpendicular to one another. A first line is explicitly said to be perpendicular to a second line if the two lines meet and the straight angle on one side of the first line is cut by the second line into two congruent angles at the point of junction.

Therefore, the Construction of a line through R that is perpendicular to the line is shown below:

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Answers are 1.–70 2.–12 3.–74 4.–36

Answers

Answer:

3. -74

Step-by-step explanation:

[tex]12 = \frac{2 + z}{-6} \\-72 = 2+ z\\z = -74[/tex]

Susanne wants to put up a fence around her
square garden. The garden measures
11 feet on each side How much fencing
material does she need

Answers

Answer:

44 feet

Step-by-step explanation:

The garden is square and one side is 11 feet. Therefore the equation is 11 x 4

What is the equation of the line?

Answers

Answer:

y = 2/3x + 4

Step-by-step explanation:

Hope This Helps!

Plz Mark Brainliest!

9.)Cici went shopping and spent a total of $45.28. She paid
with a $100 bill. How much change did she receive? Write an
expression and solve.

Answers

Answer:

Cici received $54.72 dollars in change

Step-by-step explanation:

$100 (what she payed with) - $45.28 (how much she spent) = $54.72 (how much she got back in change)

Find the principal. Annual rate of interest= 11% Period=3 years Total interest= 825 rupees Principal rupees​

Answers

Answer:

I = $ 1,937.50

Step-by-step explanation:

Can somebody help me on 14?

Answers

It isn’t them going up or down a hill. It is the speed changing

Answer:

It is the speed changing

Step-by-step explanation:

becauses it is speed vs time

Please identify the common angles and sides or if there are non. Explain all work please!

Answers

Answers:

Common angles: ΔBGC and ΔGDC

Common sides: ΔGE and ΔAG

A common angle is a triangle that exists in two or both of the triangles.

Here, the common angles should be ΔBGC and ΔGDC.

These two angles are triangles, and they consist in both triangles.

A common side is when two angles have one vertex in the same area.

Here, we see that the common sides are ΔGE, because they intersect.

Another common side we see here is ΔAG, because they also intersect.

Hope this answer helps you!

Find the missing side lengths (Use sqrt in place of a square root symbol)

Answers

Step-by-step explanation:

Because this is a right triangle and it is given that one angle is 45 than also the ather angle is 45 so this triangle has 2 equal sides.So also the ather side is 6 .

Hypotenuse can be found by pythagorean theorem

6^2+6^2=x^2

36+36=x^2

x=√72

D. Neither
I will give brianlest to whoever is right

Answers

Answer:

Negative Infinity

Step-by-step explanation:

It is a negative slope, therefore as x moves towards positive infinity, y will move towards negative infinity.

Is it possible to construct a triangle with the given side lengths?

2 m, 6 m, 9 m


yes or no

Answers

Step-by-step explanation:

yes aslong a one angele is 180*

Geometry help! Due really soon
10 pts + brainliest

m∠3 is (3x + 4)° and m∠5 is (2x + 11)°.



Angles 3 and 5 are
.



The equation
can be used to solve for x.



m∠5 =
°

Answers

Answer:

Angles 3 and 5 are Same side interior angles.

The equation (3x + 4) + (2x + 11) = 180 can be used to solve for X.

m<5 = 77 degrees

Step-by-step explanation:

Sorry if it's too late for you to finish your assignment on time :/

But I hope you have a good day :)

Answer:

Angles 3 and 5 are Same side interior angles.

Step-by-step explanation:

12. ROS
CALCULATE THE ARC
LENGTH. ROUND TO THE
NEAREST TENTH.
180
63 11
IQ
S

Answers

Answer:

576.97

Squared

Convert the numbers to standard from 7.23x10^-10

Answers

Step-by-step explanation:

ok this is search from Google this is right or wrong

Question:

Convert the numbers to standard from 7.23 × 10^(-10)

Answer:

7.23 billionths or 0.000000000723

Explanation:

First, convert the standard form of 10^(-10) to 1 ÷ 10^(10). Thus, the standard operation would be:

7.23 ÷ 10^10 or 7.23 ÷ 10,000,000,000

Hence, you could write it in a reciprocal of a billion, which is a billionth. You could write it in the form of 7.23 billionths or just write it 0.000000000723.

Hopefully this answer helps you.

Factor
2) x2 – 3x – 18

Answers

Answer:

By inspection you need 2 numbers that multiply together to 18 and sum to 3. These numbers are 6 and 3. Therefore we have to find the value of x but we dont have that so we have this:

x to the power of 2-3x - 18 = ( X - 6) ( x + 3)

Find the coordinates of the focus and equation of the directrix for the parabola given by y2 = −4x. The general formula for this parabola is y2 = 4px. Therefore, the value of p is . The coordinates of the focus are . The equation of the directrix is .

Answers

Answer:

The coordinates of the focus are [tex]F(x,y) = (-1,0)[/tex] anf the equation of the directrix is [tex]x = 1[/tex], respectively.

Step-by-step explanation:

Let be [tex]y^{2} = -4\cdot x[/tex], which represents a parabola with a horizontal axis of symmetry. To find the location of the focus and to determine the equation of the directrix we must find the distance between focus and vertex ([tex]p[/tex]), dimensionless, a value than can be extracted from the following definition:

[tex](y-k)^{2} = 4\cdot p \cdot (x-h)[/tex] (Eq. 1)

Where:

[tex]x[/tex] - Independent variable, dimensionless.

[tex]y[/tex] - Dependent variable, dimensionless.

[tex]h[/tex], [tex]k[/tex] - Coordinates of the vertex, dimensionless.

By direct comparison, we get the following coincidences:

[tex]h = 0[/tex]

[tex]k = 0[/tex]

[tex]4\cdot p = -4[/tex] (Eq. 2)

From (Eq. 2) we get that distance between focus and vertex is:

[tex]p = -1[/tex]

Which is consistent with the fact parabola has an absolute maximum.

Now, the location of the focus is:

[tex]F(x,y) = (h+p, k)[/tex] (Eq. 3)

If know that [tex]h = 0[/tex], [tex]k = 0[/tex] and [tex]p = -1[/tex], coordinates of the focus is:

[tex]F(x, y) = (0-1, 0)[/tex]

[tex]F(x,y) = (-1,0)[/tex]

And the equation of the directrix is represented by:

[tex]x = -p[/tex] (Eq. 4)

([tex]p = -1[/tex])

[tex]x = 1[/tex]

The coordinates of the focus are [tex]F(x,y) = (-1,0)[/tex] anf the equation of the directrix is [tex]x = 1[/tex], respectively.

Answer:

The general formula for this parabola is y2 = 4px.

Therefore, the value of p is  

✔ –1

.

The coordinates of the focus are  

✔ (–1,0)

.

The equation of the directrix is  

✔ x = 1

.

Step-by-step explanation:

Rachel tutors English. for each hour that she tutors, she earns 50 dollars. Let E be her earnings (in dollars) after tutoring for H hours. Write an equation relating E to H. Then use this equation to find Rachel’s earnings after tutoring for 19 hours

Answers

Answer:

a. E = 50 H b. 950 dollars

Step-by-step explanation:

a. Since Rachel tutors English for 50 dollars for each hours, her rate is 50 dollar per hour. If she tutors for time, H hours, Her earning E = rate × time = 50 × H

E = 50H.

b. If Rachel's earnings after tutoring for 19 hours is gotten by substituting H = 19 into the equation for the earnings, E.

So, E = 50H

E = 50 × 19

E = 950 dollars.

So, Rachel's earnings after 19 hours is 950 dollars.

At SMS, students were encouraged to wear school colors of blue and white. 900 Students wore their school colors while 300 students did not. What percent of the school population did not wear school colors?

Answers

Answer:

audududheyeheheh gay

Which step can you use to solve the equation first -5+p=4?

Answers

Answer:

Step-by-step explanation:

You have to do the opposite of the firs t one. You are going to add 5 to the four to get

p = 9. There is your answer!  Add on both sides!

Answer:

add 5 to both sides of the equal sign

Step-by-step explanation:

the answer will be p=9

In the first quadrant, you start at (5,3) and move 2 units up What point will you end up on?​

Answers

Answer: 5,5 have a great day

The translated point (5, 5)

What is translation?

A translation is a geometric change in Euclidean geometry that involves moving each point in a figure, shape, or space by the same amount in one direction. A translation may alternatively be thought of as moving the origin of the coordinate system or as adding a constant vector to each point.

Given:

In the first quadrant, you start at (5,3) and move 2 units up.

Here, up means positive changes in the second value of coordinates

Translation:

(x, y) → (x, y +2)

(5,3)  → (5, 3 +2)

(5,3)  → (5, 5)

Therefore, the point is (5, 5)

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PLEASE HELP!! IF U GET IT RIGHT ILL GIVE U A BRAINLIEST :)

Answers

Answer:

1,4,5

Step-by-step explanation:

Ive done it myself

Answer:

1,2,4,5

Step-by-step explanation:


3 Timothy wants to rent a car for his trip. The cost, in dollars, of a n-day long rental can be represented by
the following sequence:
112, 162, 212, 262.....
Which statement is true?

A) The cost can be represented by the explicit formula
a = 112 + 50(n - 1).
B) The cost can be represented by the recursive formula
a = a,- 1 - 50
C) The cost can be represented by the explicit formula
an = 50 + 112(n - 1).
D) The cost can be represented by the recursive formula
ana-1 + 112
HELP!!!!

Answers

Step-by-step explanation:

D, because they didn't say 50 anywhere in the question that's what I think? i put D

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