Composition Functions

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

• 19

• 23

• -10

• None of these.

Tags

CCSS.HSF-BF.A.1C

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

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

• 10x-1

• 10x-5

• 5x²-1

• 5x²-5

Tags

CCSS.HSF-BF.A.1C

g(x)=3x+4
h(x)=3x-1
Find (g∘h)(x)

• -9x+11

• 4x²+4x

• 9x+1

• 9x+11

Tags

CCSS.HSF-BF.A.1C

Match the functions below with their compositions.

• 
• 
• 
• 
• 

Tags

CCSS.HSF-BF.A.1C

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

• 101

• (p ∘ q)(-2)

• 25

• (q ∘ p)(-2)

• 26

• (q ∘ p)(1)

• 10

• (p ∘ q)(1)

Tags

CCSS.HSF-BF.A.1C

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

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

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

• 41

• 49

• 11

• 17

Tags

CCSS.HSF-BF.A.1C

Tags

CCSS.HSF-BF.A.1C

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

• x + 9

• x + 1

Tags

CCSS.HSF-BF.A.1C