Composition of Functions

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

• x²+2x+3

• 4x²+3

• 2x²+3

• 2x²+6

Tags

CCSS.HSF-BF.A.1C

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

• -42

• -26

• -18

• None of these.

Tags

CCSS.HSF-BF.A.1C

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

• 19

• 23

• -10

• None of these.

Tags

CCSS.HSF-BF.A.1C

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

• 16

• 4

• -4

• None of these.

Tags

CCSS.HSF-BF.A.1C

Which one is the same as fοg(x)

• g(f(x))

• f(g(x))

Tags

CCSS.HSF-BF.A.1C

What is g(f(4))?

Mathematical Equivalence

OFF

Tags

CCSS.HSF-BF.A.1C

If f(x) = 3x² and g(x) = x + 5, find g(f(2))

• 41

• 49

• 11

• 17

Tags

CCSS.HSF-BF.A.1C

If f(x) = 4x + 6 and g(x) = -3x + 2, find f(g(x)).

• -12x + 14

• -12x + 8

• 12x - 14

• x + 8

Tags

CCSS.HSF-BF.A.1C

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

• 10

• (q ∘ p)(-2)

• 25

• (q ∘ p)(1)

• 101

• (p ∘ q)(-2)

• 26

• (p ∘ q)(1)

Tags

CCSS.HSF-BF.A.1C

What is f(g(-3))?

Mathematical Equivalence

OFF

Tags

CCSS.HSF-BF.A.1C