Composition of Two Functions

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

• 19

• 23

• -10

• None of these.

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

• 3x² - 2

• 3x + 8

• 3x + 4

• None of these.

p(x) = 3x + 4
q(x) = 2x²
Find q(p(x))

• 6x² + 4

• 18x² + 48x + 32

• 18x² + 32

• None of these.

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

• -42

• -26

• -18

• None of these.

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

• 101

• (p ∘ q)(1)

• 25

• (q ∘ p)(1)

• 26

• (q ∘ p)(-2)

• 10

• (p ∘ q)(-2)

What is f(g(-3))?

Mathematical Equivalence

OFF

What is g(f(4))?

Mathematical Equivalence

OFF

Given b(x) = -4x + 5 c(x) = 3x² - 4x - 2 Find (b ∘ c)(–3) ​ (a)   = ​ (b)   ​ (c)   = ​ (d)  

Find f[g(5)]

• 30

• 242

• 92

• 2

Match the functions below with their compositions.

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