Function Composition and Inverses

f(x) = 3x + 10

g(x) = x - 2

Find (f∘g)(0)

(a)  

Tags

CCSS.HSF-BF.A.1C

The inverse of the function f(x) is written as ...

• f ^-1(x)

• f ²(x)

• f '(x)

• f ⁺(x)

Tags

CCSS.HSF.BF.B.4

All of the x values or inputs are called what?

• Domain

• Range

• Relation

• Function

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

All of the y values or outputs are called what?

• Domain

• Range

• Relation

• Function

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

What is the definition of a function?

• Has inputs and outputs

• Inputs have different outputs every time

• x-values and

  y-values

• Every input has only one output

Tags

CCSS.8.F.A.1

What is f(g(3))?

• 1/8

• 8

• 1/4

• 1/2

Tags

CCSS.HSF-BF.A.1C

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

Are these inverse functions?

• no

• yes

• no way to tell

Tags

CCSS.HSF-BF.B.4B

Tags

CCSS.HSF.IF.A.2

Tags

CCSS.HSF.IF.A.2