Operations on Functions and Composition Functions

g(n) = n² + 5n
f(n) = n + 4
Find g(f(n))

• n² + 3n + 36

• n² + 13n + 16

• n² + 13n + 36

• n² + 3n + 20

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

• -9x+11

• 4x²+4x

• 9x+1

• 9x+11

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

• 3x² - 2

• 3x + 8

• 3x + 4

• None of these.

If f(x) = x-5 and g(x) = 3x²-1,

what is (f ° g)(x) ?

• 3x²-5

• 3x²-1

• 3x²-4

• 3x²-6

Perform the indicated operation:

• A

• B

• C

• D

p(x) = 3x + 4 q(x) = 2x² Find p(q(x))

• 10x²

• 18x² + 4

• 6x² + 4

When f(x) = 2x and g(x) = x² + 3 , find f(g(x)).

• x² + 2x + 3

• 4x² + 3

• 2x² + 3

• 2x² + 6

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

• 19

• 23

• -10

• None of these.

Perform the indicated operation:

• A

• B

• C

• D