Function Composition

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

• -9x+11

• 4x²+4x

• 9x+1

• 9x+11

f(g(x))

• 3x - 16

• 3x - 2

• 3x - 26

• 4x - 2

Given p(x) = x² + 1 q(x) = 5x Perform each composition and match it to its value.

• 26

• (p ∘ q)(-2)

• 101

• (q ∘ p)(1)

• 25

• (q ∘ p)(-2)

• 10

• (p ∘ q)(1)

Match the functions below with their compositions.

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• 
• 
• 
• 

What is f(g(x)) = ​ ​ ​ (a)   What is g(f(x)) = ​ (b)  

• x + 9

• x + 1

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

• 3x + 8

• 3x - 2

• 3x + 4

• None of these.

• 24

• 96

• 2

• -4

• 4

• 576

• 124

• -10

• 64

• 740