Composition of Functions

• 
• 
• 
• 

Q1. What is the square root of 225?

• 1) 9

• 2) 3

• 3) 5

• 4) √15

If f(x) = 3x-1 and g(x) = x²+2,

what is (f ° g)(x) ?

• 3x² +5

• x² +1

• 3x² +1

• 3x² +6

If f(x) = 5x and g(x) = 2x-1,

what is the composition f(g(x)) ?

• 10x-1

• 10x-5

• 5x²-1

• 5x²-5

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.

• 10

• (p ∘ q)(-2)

• 26

• (q ∘ p)(1)

• 25

• (q ∘ p)(-2)

• 101

• (p ∘ q)(1)

What is f(g(-3))?

Mathematical Equivalence

OFF

• 2(2x+6)+6

• f(h(x))=

• 2(x-5)+6

• f(g(x))=

• (x²-3)-5

• f(f(x))=

• (x-5)²-3

• h(g(x))=

• 2(x²-3)+6

• g(h(x))=

What is g(f(4))?

Mathematical Equivalence

OFF

Find f[g(5)]

• 30

• 242

• 92

• 2