Identify Inner Function Composition

• Yes

• No

When do you use the chain rule?

• anytime you want

• when there is a function in a function

• where there are multiple layers to a lasagna (yum)

• when there is division

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

• 3x + 8

• 3x - 2

• 3x + 4

• None of these.

Tags

CCSS.HSF-BF.A.1C

• 24

• 96

• 2

• -4

• 4

Tags

CCSS.HSF-BF.A.1C

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

• 25

• (p ∘ q)(-2)

• 101

• (q ∘ p)(1)

• 10

• (p ∘ q)(1)

• 26

• (q ∘ p)(-2)

Tags

CCSS.HSF-BF.A.1C

Match the functions below with their compositions.

• 
• 
• 
• 
• 

Tags

CCSS.HSF-BF.A.1C

How would you evaluate f(g(x))?

• plug function f into function g

• plug function g into function f

• It does not matter what order

Tags

CCSS.HSF-BF.A.1C

Rewrite: (f °g)(2)

• f(2) * g(2)

• f(g(2))

• g(f(2))

• g(2) * f(2)

Tags

CCSS.HSF-BF.A.1C

If f(x) = 3x-1 and g(x) = x²+2,

what is (f ° g)(x) ?

• 3x² +5

• x² +1

• 3x² +1

• 3x² +6

Tags

CCSS.HSF-BF.A.1C

Tags

CCSS.HSF-BF.A.1C