1.Find

f(g(x))

and

g(f(x))

and determine whether the pair of functions f and g are inverses of each other.

f(x)=3x5

andg(x)=3x+5

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Part 1

a.

f(g(x))

= enter your response here

Part 2

b.

g(f(x))

= enter your response here

Part 3

c.	f and g are inverses of each other. f and g are not inverses of each other.

2.

The function

f(x)=4x+3

is one-to-one.Find an equation for

f1(x),

the inverse function.

3.

Given the function

f(x)=(x9)2,x9,

(a) Find

f1(x).

(b) Graph f and

f1

in the same rectangular coordinate system.(c) Use interval notation to give the domain and the range of f and

f1.

4.

Find the domain of the function.

f(x)=11(x+15)

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Part 1

What is the domain of f?

A.

(,)

B.

(,15)(15,0)(0,)

C.

(,0)(0,)

D.

(,15)(15,)

5.

Find the domain of the function.

f(x)=22x

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Part 1

What is the domain of f?

6.

Find the domain of the function.

f(x)=6x+8

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Part 1

What is the domain of f?

A.

(,8)(8,0)(0,)

B.

(,0)(0,)

C.

(,)

D.

(,8)(8,)

7.

For

f(x)=x3

and

g(x)=5x23,

find the following functions.

a.

(fg)(x);

b.

(gf)(x);

c.

(fg)(2);

d.

(gf)(2)

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Part 1

a.

(fg)(x)=enter your response here

(Simplify your answer.)

Part 2

b.

(gf)(x)=enter your response here

(Simplify your answer.)

Part 3

c.

(fg)(2)=enter your response here

(Simplify your answer.)

Part 4

d.

(gf)(2)=

enter your response here

8.

Find functions f and g so that fg=H.

H(x)=9x+7

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Part 1

Choose the correct pair of functions.

A.

f(x)=x,g(x)=9x+7

B.

f(x)=9x+7,g(x)=x

C.

f(x)=x,g(x)=x79

9.

Find the domain of the function.

f(x)=9x2+6x40

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Part 1

What is the domain of f?

10,

Find the domain of the function.

f(x)=x+11

Question content area bottom

Part 1

What is the domain of f?

A.

(,)

B.

[0,)

C.

(,11)(11,)

D.

[11,)