Free Printable PLTL MATH 11Q

1.

find (f ◦ g)(-5) when f(x)=x+7 and g(x) = 3x²+13x-2

a)

16

b)

-50

c)

0

d)

125

2.

Find (𝑓−𝑔)(−4)
when 𝑓(𝑥)=3𝑥²−4
and
𝑔(𝑥)=𝑥+7

a)

-12

b)

25

c)

100

d)

41

3.

Find (𝑓+𝑔)(𝑥)

when

𝑓(𝑥)=9−2𝑥

and

𝑔(𝑥)=−5𝑥+2

a)

9−5x+2x−2

b)

-7x+11

c)

−2x²+7x+11

d)

7x−9

4.

Find

(𝑓∘𝑔)(𝑥)

when

𝑓(𝑥)=7𝑥+15

and

𝑔(𝑥)=3𝑥−1

a)

21x+1

b)

10x+14

c)

21x+8

d)

21x+15

5.

Find
(𝑓∘𝑔)(9)
when
𝑓(𝑥)=8𝑥−1
and
𝑔(𝑥)=8𝑥2−3𝑥+8

a)

(𝑓∘𝑔)(5) = 2

b)

(𝑓∘𝑔)(5) = 0

c)

(𝑔∘𝑓)(3)=0

d)

(𝑔∘𝑓)(3)=2

6.

Using the given table, find
(𝑔∘𝑓)(8)

a)

45

b)

17

c)

43

d)

18

7.

Use the graph to evaluate the expression.
Find (𝑓∘𝑔)(5) and (𝑔∘𝑓)(3)

a)

(𝑔∘𝑓)(3)=2

b)

(𝑔∘𝑓)(3)=2

c)

(𝑓∘𝑔)(5) = 2

d)

(𝑔∘𝑓)(3)=0

8.

Find the domain of the composite function (𝑓∘𝑔)
Write the domain in the interval notation.

a)

D (−∞, 10)∪(−10, ∞)

b)

D (−∞, −10)∪(−10, ∞)

c)

D (∞, −10)∪(−10, ∞)

d)

D [−∞, −10)∪[−10, ∞)

9.

a)

9 - √17

b)

4

c)

2

d)

√8

10.

a)

-1

b)

1

c)

-1/3

d)

-5/3

11.

Find $g\left(f\left(12\right)\right)$

a)

5

b)

0

c)

-1

d)

-7

12.

a)

9

b)

3

c)

5

d)

√15

13.

f(x) = 3x + 10
g(x) = x - 2
Find f(g(0))

a)

16

b)

4

c)

-4

d)

None of these.

14.

Given f and g in the graph,

what is f(g(2)) ?

a)

3

b)

8

c)

1

d)

4

15.

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

what is and g(f(x)) ?

a)

2x²-1

b)

2x-1

c)

2x-2

d)

x-2

16.

g(x)=3x+4
h(x)=3x-1
Find g(h(x))

a)

-9x+11

b)

4x²+4x

c)

9x+1

d)

9x+11

17.

f(x) = 3x + 10
g(x) = x - 2
Find f(g(5))

a)

19

b)

23

c)

-10

d)

None of these.

18.

Given f(x) = 3x + 10
and g(x) = x - 2
Find f(g(5))

a)

19

b)

23

c)

-10

d)

None of these.

19.

Use the graphs of $f\left(x\right)$ and $g\left(x\right)$ to evaluate

$g\left(f\left(0\right)\right)$

(a)

20.

Find g(f(-2))

a)

-18

b)

-2

c)

1

d)

9

21.

Which one is the same as fοg(x)

a)

g(f(x))

b)

f(g(x))

22.

Given that f(x) = x² + x and g(x) = 3x + 1, find the value of f(g(4)).

a)

182

b)

40

c)

61

d)

None of the Above

PLTL MATH 11Q

Total questions: 22

Worksheet time: 1hrs 6mins

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