Domain of Composition Functions

All of the x values or inputs are called what?

• Domain

• Range

• Relation

• Function

what is f(g(2)) ?

• 3

• 8

• 1

• 4

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

• 16

• 4

• -4

• None of these.

When f(x) = 2x and g(x) = x²+3 , find f(g(x)).
What is the domain?

• x²+2x+3

• 4x²+3

• 2x²+3

• 2x²+6

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

Mathematical Equivalence

OFF

If f(x)= -3x+7 and g(x)=2x² - 8,

then f(g(x)) = _______

Mathematical Equivalence

ON

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

• 26

• (q ∘ p)(-2)

• 10

• (p ∘ q)(1)

• 101

• (p ∘ q)(-2)

• 25

• (q ∘ p)(1)

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

• x + 9

• x + 1

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

• -9x+11

• 4x²+4x

• 9x+1

• 9x+11

If f(x) = 3x-1 and g(x) = x²+2,

what is (f ° g)(x) ?

• 3x² +5

• x² +1

• 3x² +1

• 3x² +6