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Chapter 6 Quiz Review

Total questions: 11

Worksheet time: 22mins

Name
Class
Date
1.

Given f(x)=x2 + 3x - 5 and g(x)=2x + 1, find (f+g)(x).

a)

x2 + x - 6

b)

-x2 + 5x + 4

c)

2x2 + 4x - 5

d)

x2 + 5x - 4

2.

Given f(x)=x2 + 3x - 4 and g(x)=x - 1 and x cannot be 1, find (f/g)(x). Hint: factor the top equation and cancel.

a)

x + 4

b)

x + 7

c)

x + 2

d)

x + 3

3.

If f(x) = {(2,3), (4,8), (7,-1)} and g(x)={(8,2), (-1,4), (2,7)} find fog(x) if it exists.

a)

{(-1,3), (8,8), (2,-1)}

b)

{(8,3), (-1,8), (2,-1)}

c)

{(2,3), (-1,8), (8,-1)}

d)

does not exist

4.

Find the inverse of f(x)=2x + 5

a)

f-1(x) = (x-2)/5

b)

f-1(x) = (x-5)/2

c)

f-1(x) = (x+2)/5

d)

f-1(x) = (x+5)/2

5.

Identify the x-intercept for the equation above. Hint: x-intercept is when y = 0.

a)

1/2

b)

0

c)

-1/2

d)

2

6.

Identify the domain for the graph:

a)

x > -3

b)

x > 3

c)

x < -1/3

d)

x > -1/3

7.

Find the inverse of the function

p(x) = 4x - 8

a)

p-1(x) = 8x - 4

b)

p-1(x) = 2x - 4

c)

p-1(x) = (x - 8)/4

d)

p-1(x) = (x + 8)/4

8.

Which graph has the function f(x) = 4x -2 and its inverse graphed.

a)
b)
c)
d)
9.

Determine whether g(x) = 3x - 6 and f(x) = 1/3x + 2 are inverse functions

a)

yes

b)

no

10.

Determine whether the function f(x) = (x - 4)/5 and g(x) = 4x - 5 are inverses of each other.

a)

yes

b)

no

11.

If f(x) = 3x - 2 and g(x) = x2 + 1, find f[g(-3)].

a)

-26

b)

28

c)

121

d)

50