Composition of Functions

• 7
• 6
• 11
• None of the Above

Find f[g(5)]

• 30

• 242

• 92

• 2

f(g(x))

• 3x - 16

• 3x - 2

• 3x - 26

• 4x - 2

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

• 182

• 40

• 61

• None of the Above

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

Mathematical Equivalence

OFF

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

• 25

• (p ∘ q)(1)

• 26

• (p ∘ q)(-2)

• 101

• (q ∘ p)(1)

• 10

• (q ∘ p)(-2)

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

• x + 9

• x + 1

If f(x)= -3x+7 and g(x)=2x² - 8,

then f(g(x)) = _______

Mathematical Equivalence

ON

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

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

• 16

• 4

• -4

• None of these.