Quiz about Linear Composition of Functions

Question 1

Find f(2).

Accepted Answer

-2

Answer

-18

Answer

24

Answer

6

Question 2

Find g(5)

Accepted Answer

375

Answer

3375

Answer

25

Answer

45

Question 3

f(x-2)

Accepted Answer

2x² - 13x + 18

Answer

2x² - 5x + 18

Answer

2x² - 8x + 3

Answer

2x² - 13x + 2

Question 4

g(4x)

Accepted Answer

192x3

Answer

1728x3

Answer

12x3

Answer

36x3

Question 5

Find f[g(5)]

Accepted Answer

92

Answer

30

Answer

242

Answer

2

Question 6

f(g(x))

Accepted Answer

3x - 16

Answer

3x - 2

Answer

3x - 26

Answer

4x - 2

Question 7

f(x) = x²+9
g(x) = x-9
Find f(x)-g(x).

Accepted Answer

x2-x+18

Answer

x2+x+9

Answer

x2-x+9

Answer

x2-x

Question 8

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

Accepted Answer

182

Answer

40

Answer

61

Answer

None of the Above

Question 9

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

Accepted Answer

4

Answer

16

Answer

-4

Answer

None of these.

Question 10

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

Accepted Answer

19

Answer

23

Answer

-10

Answer

None of these.

Question 11

g(a) = 4a + 1

h(a) = -3a + 2

Find g(h(1))

Accepted Answer

-3

Answer

3

Answer

21

Answer

-21

Question 12

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

Accepted Answer

3x + 8

Answer

3x - 2

Answer

3x + 4

Answer

None of these.

Question 13

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

Accepted Answer

9x+1

Answer

-9x+11

Answer

4x2+4x

Answer

9x+11

Question 14

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

what is and g(f(x)) ?

Accepted Answer

2x-2

Answer

2x2-1

Answer

2x-1

Answer

x-2

Question 15

f(n)=2n+1
g(n)=3n
Find f(n)+g(n)

Accepted Answer

5n+1

Answer

-5n+1

Answer

-2n+1

Answer

-6n-1

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