Composing Functions

p(x) = 3x + 4
q(x) = 2x²
Find p(q(x))

• 10x²

• 18x² + 4

• 6x² + 4

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

• 19

• 23

• -10

• None of these.

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

• x²+2x+3

• 4x²+3

• 2x²+3

• 2x²+6

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

• x²+2x+3

• 4x²+3

• 2x²+3

• 4x²+3

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

• 10

• (q ∘ p)(-2)

• 101

• (p ∘ q)(1)

• 25

• (p ∘ q)(-2)

• 26

• (q ∘ p)(1)

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

Match the functions below with their compositions.

• 
• 
• 
• 
• 

If f(x)= -3x+7 and g(x)=2x² - 8,

then f(g(x)) = _______

Mathematical Equivalence

ON

• x + 9

• x + 1

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

• -9x+11

• 4x²+4x

• 9x+1

• 9x+11