1.

Let f(x) = x²+ 6 andg(x)=x + 8 x + 8. Find ( g o f)( -7)

A. 63

55

B. -57

7

C. 295

49

D. 384

7

2.

Is relationta function? Is the inverse of relationsta function?

Relationt

x 0 1 2 3

y-2 1 10 2

A. Relationtis not a function. The inverse of relationtis a function.

B. Relationtis not a function. The inverse of relationtis not a function.

C. Relationtis a function. The inverse of relationtis a function.

D. Relationtis a function. The inverse of relationtis not a function.

3.

x 0 4 9 10

y 3 2 7 -1

Graph the relation and its inverse. Use open circles to graph the points of the inverse.

4.

What is the inverse of the given function? y = 7x²- 3.

A. x= y + 3 = + y + 3

7

B. y² y= x + -3 x - 3

7 y^{2 =} 7

C. y = + x + 3 = + x + 3

7 ^y 7

D. y = + x - 3 = + x - 3

7 ^y 7

Let f(x) = x + 2 and g(x) = x²

Find ( g o f)(-5)

Question 5 options:

A. 49

B. -10

C. -3

D. 9

6.

For the function f(x) = x + 9, find (f o f^-1)(5)

A. 25

B. -5

C. 5

D. 14

7.

Let f(x) = 3x + 2 and g(x) =x - 3. Find f(x) - g(x).

A. 2x - 1

B. 4x - 1

C. 2x + 5

D. 2x - 5

8.

For the function f(x) = (8-2x)²,find f^-1. Determine whether f^-1is a function.

A. f^-1(x) = 8 + x + 8 2

8

x

2

. ; f^-1is a function

B . f^-1(x) =8x

2

8

x

2

; f^-1is not a function

C. f^-1(x) =8x

2

8

x

2

; f^-1is a function

D. f^-1(x) =8+x

2

8

x

2

; f^-1is not a function

9.

What is the inverse of the given relation?

y= 4x- 8

y= 4x- 2

y=1

4

x+2

y

1

4

x

2

y=1

4

x2

y

1

4

x

2

y= 4x+ 2

10.

Let f(x) = -2x - 7 and g(x) = -4x + 3.Find (f o g)(-5)

A. -53

B. 23

C. 3

D. -9

11.

Is relation t a function? Is the inverse of relation t a function?

Relation t

A. Relation t is not a function. The inverse of relation t is a function

B. Relation t is a function. The inverse of relation t is a function.

C. Relation t is a function. The inverse of relation t is not a functions

D. Relation t is not a function. The inverse of relation t is not a function.

12.

What is the inverse of the given function?y = 3x + 9

Question 12 options:

A. y= 3x-3

B. y=3x+3

C. y=1/3x-3

D. y = 1/3x + 3

13.

Graph y = -2x +3 and its inverse.

14.

A store is offering a 25% discount on all items. Also, employees get a 10% employee discount.If you are an employee which discount would you want to be applied first to save the most money?c

A. 25%

B. It doesn't matter which discount is applied first, the result is the same.

C. Not enough information is given

D. 10%

15.

f(x) = x²- 16 and g(x) = x+4. Findf

g

f

g

and its domain

A. x - 4; all real numbers except x 4

B. x + 4; all real numbers except x - 4

C. x + 4; all real numbers except x 4

D. x - 4; all real numbers except x - 4

16.

f(x)=x5

f

x

x

5

find f^-1

A. f^-1(x) = x²+25; y^>5

B. f ^-1(x) = x²+ 5; y>5

C. f^-1(x) = x²+25; y>25

D. f^-1(x) = (x + 5)²; y>5

17.

Let f(x) = 4x - 5 and g(x) = 6x - 3. Find f(x) - g(x).

A. 2x + 5

B. -2x - 8

C. 2x - 5

D. -2x - 2

18.

Let f(x) = 3x - 6 and g(x) = x - 2. Find f(g(5)) - ie. (f^og)(5)and its domain

A. 1; all real numbers

B. 3; all real numbers except x = 3

C. 3; all real numbers

D. 3; all real numbers except x = 2

19.

Let f(x) = 3x + 2 and g(x) =7x + 6. Find f g and its domain.

A. 6x²+ 4x + 42; all real numbers

B. 6x²+ 4x + 42; all real numbers except x = 2/3

C. 21x²+32x + 12; all real numbers except x = -6/7

D. 21x²+ 32x + 12; all real numbers

20.

Graph y = -4x²- 2 and its inverse.