For f(x) = 5x – 3 and g(x) = 2x2 - 5, find the following functions.
a. (fog)(x); b. (gof)(x); c. (fog)(2); d. (gof)(2)

Answers

Answer 1

Answer:

See answer below

Step-by-step explanation:

Given the functions f(x) = 5x – 3 and g(x) = 2x2 - 5, find the following functions.

a)(fog)(x) = f(g(x))

f(g(x)) = f(2x^2-5)

f(g(x)) = 5(2x^2-5) - 3

f(g(x)) = 10x²-25-3

f(g(x)) = 10x² - 28

b) g(f(x)) = g(5x-3)

g(f(x)) = 2(5x-3)²-5

g(f(x)) = 2(25x²-30x+9)-5

g(f(x)) = 50x²-60x+18-5

g(f(x)) = 50x²-60x+13

c)(fog)(2) = f(g(2))

f(g(x)) = f(2x^2-5)

f(g(2)) = 10(2)² - 28

f(g(2)) = 10(4)-28

f(g(2)) = 12

d) g(f(x)) = g(5x-3)

g(f(x)) = 2(5x-3)²-5

g(f(x)) = 50x²-60x+13

g(f(2)) = 50(2)²-60(2)+13

g(f(2)) = 200-120+12

g(f(2)) =80+12

g(f(2)) = 92


Related Questions

1.6 x 0.7 =
plsss help

Answers

Answer:

1.12

Step-by-step explanation:

Answer:

1.12

Step-by-step explanation:

PLEASE HELPP !


The graph shows one of the linear equations for a system of equations. Which equation represents the second linear equation for the system of equations that has the solution which corresponds to a point at (6, -2)?

A. 1/3x + 3y = 4
B. 1/3x + 4y = -4
C. 1/3x + 2y = -2
D. 1/3x + 2y = 2

Answers

Answer:

C. 1/3x + 2y = -2

Step-by-step explanation:

Using the point slope form of an equation

y-y0 = m(x-x0)

Get the slope m

Get the x and y intercept of the equation

Using the expression  1/3x + 2y = -2

x intercept occurs at y = 0

1/3x + 0 = 2

1/3 x = 2

x = 3 * 2

x = 6

y intercept occurs at x = 0

0+ 2y = 2

2y = -2

y = -1

Hence the required equation is C. 1/3x + 2y = -2

If we used the quadratic expression below to complete a diamond, which pair of values would go on the SIDES of the diamond?
x^2 - 4x + 5
a. 5 and -1
b. -5 and 1
c. -4 and 1
d. 4 and -1
e. no solution

Answers

9514 1404 393

Answer:

  e. no solution

Step-by-step explanation:

You would be looking for factors of +5 that have a sum of -4. There are none (no solution). None of the values offered in the answer choices have a product of +5.

__

The discriminant of the quadratic is (-4)² -4(1)(5) = -4, so the roots are complex.

The ratio of boys to girls at Louisiana Middle School is 3:5. There are currently 1,600 students enrolled. How many students at Louisiana Middle School are boys?

Answers

600 students at Louisiana Middle School are boys.

What is the volume of the cone below?

O A. 5082 units 3
O B. 3388 units
O C. 924 units 3
D. 10,164units 3

Answers

The answer is 3388 units

Answer: 3388

Step-by-step explanation:

Help please! Due today! ​

Answers

Answer:

D. (2x-7)

Step-by-step explanation:

Split the equation into two equations by splitting -9x. Make sure that these can be factored further.

(2x² - 2x) + (-7x+7)

2x(x-1) -7(x-1)

create factors using GCFs (2x and -7) and the common factor (x-1)

(2x-7)(x-1)

D. (2x-7)

What is the consequence of L'hopital's Rule?​

Answers

Answer:

So, L'Hospital's Rule tells us that if we have an indeterminate form 0/0 or ∞/∞ all we need to do is differentiate the numerator and differentiate the denominator and then take the limit. (Brainliest? :3)

Step-by-step explanation:

213=22: Z=14 Select True or False for each equation as is state
O True
O False
5x=25

Answers

Truest sense that the world of war in my opinion was gon in my own name in

What is the distance between these two points?

Answers

14


extra characters (this is not part of the answer)

Answer:

Step-by-step explanation:

The two points are (-6,8) and (8,0)

we can find the distance thanks to this formula

√(x1-x2)^2 + (y1-y2)^2 where x and y indicate the coordinates of the two points

√(-6-8)^2 + (8)^2 = √196 + 64 = √260 ≃ 16,12

The perimeter of the rectangle below is 108 units. Find the length of side VW.

Answers

Answer:

can u add a pic or any other measuremeants?

Step-by-step explanation:

The length of a rectangle is twice the width. The perimeter of the rectangle is 24 feet.
What is the length of the rectangle?
Let x = the width of the rectangle.
Which let statement would you use for the length?

Answers

Let the width be x cm

Length = 2x cm

Perimeter = 2 ( x + 2x) = 42

3x = 21

x = 7 cm

ANSWER Length 14cm , Width = 7cm

Solve the system 8y-5z=23 3y-2z=6

100 POINTS

Answers

Answer:

z = 21 ; y= 16

Step-by-step explanation:

first of all we have to isolate a variable.

In second expression we can obtain:

3y = 2z+6

y = 2/3 z + 2

now we have to substitute this value in the first equation and solve it

8(2/3z+2)-5z = 23

16/3z + 16 -5z = 23

16z +48 - 15z = 69

z = 21

now we have to substitute z in the second equation:

y = 2/3 (21) +2

y = 14+ 2 = 16

y = 16

Solve for x.
3x - 4 = 2x - 10
O x = 6
OX= -6
OX= 14
O x=-14
Please help
Will give you brainly

Answers

Answer:

x = -6

Step-by-step explanation:

We have the equation 3x - 4 = 2x - 10 and are asked to find "x".

To solve , we need to get "x" alone entirely.

3x - 4 = 2x - 10

Subtract 2x from both sides :

x - 4 = -10

Add 4 to both sides to get our answer :

x = -6

Answer:

the answer is equal to-6

Solve 4^x=12 by taking the natural log of both sides

Answers

Answer:

3

Step-by-step explanation:

What is the distance between the points (-6, 2) and (-4, 7)? Round to the nearest tenth if necessary.

Answers

Answer: distance is 5.4

Step-by-step explanation: distance between points (X1,y1) and (x2,y2) is

√(x2-X1)² + (y2-y1)² = √[(-4-(-6))² + (7-2)²] = √(2²+ 5²) =√29

The distance between the points (-6, 2) and (-4, 7) is 5.4 units.

What is the distance formula?

The distance between any two points (x₁, y₁) and (x₂, y₂) can be determined using the distance formula according to which,

Distance = √((x₂ - x₁)² + (y₂ - y₁)²).

How do we solve the given question?

We are asked to find the distance between the points (-6, 2) and (-4, 7).

We will determine the distance using the distance formula, by which

Distance = √((x₂ - x₁)² + (y₂ - y₁)²)

or, Distance = √(((-4) - (-6))² + (7 - 2)²)

or, Distance = √((-4 + 6)² + (7 - 2)²) = √(2² + 5²) = √(4 + 25) = √29

Distance = √29 = 5.385165 = 5.4 (rounding to the nearest tenth).

∴ The distance between the points (-6, 2) and (-4, 7) is 5.4 units.

Learn more about the Distance Formula at

https://brainly.com/question/7243416

#SPJ2

4)
The first play of a football game resulted in a loss of 9 yards. Which absolute value statement describes the loss of yards?

Answers

Answer:

|-9| = 9

That is the absolute value for the loss of yards

Please help I need answer ASAP

Answers

Answer:

A. The length is 1.5 inches and the width is 1 inch.

Step-by-step explanation:

If we assume the two scale factors are related, then 1:10 is half of 1:20, so half of 3:2 is 1.5:1.

The coordinates of the vertices of ABC are A(-5, 2) B(-2, 4), and C(-4, 7). What are the coordinates of the image of A after the translation (x, y) = (x+6, y-5)?​

Answers

Translation will reduce x coordinate by 2:  (0,4), (5,6) and (3,2)

Rotation 90 CCW will change (x,y) to (-y,x):  (-4,0),(-6,5),(-2,3)

Find the exact value of x p

Answers

Answer:

x = 9.6

Step-by-step explanation:

sin Q = 16/20 Q = 53.13° from the big triangle

16/20 = x/12

192 = 20x

x = 9.6

<4 and 45 are alternate interior
angles. Find the measure of 4

Answers

Answer:

115%

Step-by-step explanation:

5 is completely irrelevant, Vertical angles are congruent.

a group of students measure the distance a toy car has traveled after different amounts of time. A table of the data is shown. The students want to perform and analysis of the date set and consider removing the outlier point. Select all of the quantities that will change if the outlier point is removed from the data set.

Data set:
Time (seconds) distance (meters)
5. 1.0
6. 1.2
7. 2.4
8. 3.3
9. 3.7
10. 11.0
11. 4.2
12. 3.7
13. 4.8
14. 4.5
15. 4.9

Answers

Answer:

In this given set of data the outliers point is the distance at 10 seconds i.e 11 meters.

If the outlier point is removed the best fit line, regression value of two variables i.e time and equation of the curve along with slope will change.

Step-by-step explanation:

In this given set of data the outliers point is the distance at 10 seconds i.e 11 meters.

If the outlier point is removed the best fit line, regression value of two variables i.e time and equation of the curve along with slope will change.

Please find the attach graph

Answer:

The mean and range of distance change

Step-by-step explanation:

Angle A and B are congruent angles.•The measure of angle
A = 8x + 9•The measure of angle
B = 41 + 4xSolve for x.

A.8
B.2.6
C.12.5
D.4

Answers

Answer:

x = 8

Step-by-step explanation:

8x + 9 = 41 + 4x

4x = 32

x = 8

Yo can y'all help a brother out trying to pass.

First image is the answer choices for all the questions

Second Image is the questions.

Answers

Answer:

P' (-1,-4) N'(-5,0) U'(-2,1)

Step-by-step explanation:

What number gives a result of −3 when 7 is subtracted from the quotient of the number and 5?

Answers

Answer:

The number is 20

Step-by-step explanation:

( x / 5 ) - 7 = -3

           +7    +7

————————

( x / 5)        = 4

     *5          *5

————————

x =               20

To Check;

20 / 5 = 4

4 - 7 = -3

Hope this helps!

I need help!!!!! It’s urgent

Answers

Answer:

do a line conforming to the table  days=x    sales =y

Step-by-step explanation:

Blake gives plano lessons in the evenings. He earns $20 for each plano lesson and has between 0 and 6 lessons each evening. The amount he
earns in an evening depends on the number of lessons he gives. What is the range of this relation?
A. {0, 20, 40, 60, 80, 100, 120)
B.Osys 120
C. {0, 1, 2, 3, 4, 5, 6)
D. O sys 6
WILL GIVE BRAINLIEST

Answers

Answer:D

Step-by-step explanation:

Answer:

A. {0, 20, 40, 60, 80, 100, 120)

Step-by-step explanation:

:)

which statement is true?

Answers

Answer:

a because i just know it

What does the unknown number round to when rounded to the nearest whole?

Answers

Answer:

0

Step-by-step explanation:

Factor out the greatest common factor

Answers

Answer:

7x

Step-by-step explanation:

7x(5x-7)

brainliest pls!

Answer:

7x

Step-by-step explanation:

Is the formula V=LWH or V=BH or A=BH
PLEASE HELP!

Answers

Answer:

It's A=BH

Step-by-step explanation:

In the story the key words are there: Area, base/length, height

Answer:

It's A=BH

Step-by-step explanation:

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