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Math 3 Module 8 Review

Total questions: 13

Worksheet time: 1hrs 11mins

Name
Class
Date
1.

f(x)=x+5

g(x)=-3x-6


Find:

(f + g)(x)

a)

-4x-1

b)

-2x-1

c)

-4x-11

d)

-2x-11

2.

g(x)=3x+4

h(x)=3x-1


Find (g ∘ h)(x)

Which is the same thing as g(h(x))

a)

-9x+11

b)

4x2+4x

c)

9x+1

d)

9x+11

3.

f(x) = x2 + 4 + 2x

g(x) = -3x + 2

Find (f + g)(-3) =


Hint: Add both functions together first, then plug -3 in.

a)

0

b)

7

c)

11

d)

18

4.

f(x) = 3x + 10

g(x) = x - 2

Find f(g(5))


Hint: Solve g(5) first, then take that answer and plug it into f(x).

a)

19

b)

23

c)

-10

d)

None of these.

5.

f(x) = 3x + 10

g(x) = x - 2


Find g(f(x))

a)

3x + 8

b)

3x - 2

c)

3x + 4

d)

None of these.

6.

Given

f(x) = 3x2 + 7x and g(x) = 2x2 - x - 1,

find (f + g)(x).

a)

11x2 - 1

b)

5x4 + 6x2 - 1

c)

5x2 + 6x - 1

d)

5x2 + 8x - 1

7.
(L2) Given f(x) = x2 + 25 annd g(x) = - x, state the domain of (fg)(x)
a)
(-∞ , 0]
b)
[0 , ∞)
c)
(-∞ , ∞)
d)
(-∞ , 0) ∪ (0 , ∞)
8.
(L3) Given f(x) = x2 - 25 and g(x) = √x, state the domain of (f - g)(x)
a)
(-∞ , ∞)
b)
(-∞ , 0]
c)
(-∞ , 0) ∪ (0 , ∞)
d)
[0, ∞)
9.

Given f(x)=√x and g(x)=x-5, find the domain of (f/g)(x).

a)

[0, 5)υ(5, ∞)

b)

[0,∞)

c)

(- ∞, 5)υ(5,∞)

d)

(- ∞, ∞)

10.

What effect does adding the function y=2x and y=sin(x) have as in f(x)=2x+sin(x)?

a)

The period of the sine function graph increases as x increases

b)

The amplitude of the sine function increases as x increases

c)

The mid-line of the sine function is the line y=2x to have a climbing sine wave

d)

The amplitude of the sine function is decreasing as x increases

11.

What effect does multiplying the function y=3x and y=sin(x) have as in f(x)=3xsin(x)?

a)

The period of the sine function decreases as x increases

b)

The amplitude of the sine function increases as x increases

c)

The graph looks like the normal sine function but the negatives deleted

d)

The graph looks like a climbing sine function

12.

What effect does composing the function y=x2 with the function y=sin(x) as in f(x)=sin(x2)?

a)

The period of the sine function graph decreases as x increases

b)

The amplitude of the sine function graph decreases as x increases

c)

The graph looks like a climbing sine function around the parabola x2

d)

The amplitude of the sine function graph increases as x increases

13.

If f(x) = 3x-1 and g(x) = x2+2,

what is (f ° g)(x) ?

a)

3x2 +5

b)

x2 +1

c)

3x2 +1

d)

3x2 +6