Composite and Inverse 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.HSA.APR.A.1

CCSS.HSA.SSE.B.3

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

Which option below is the same as (f∘g)(x) (How can you rewrite this)

• f(x)*g(x)

• f(g(x))

• g(f(x))

• (f*g)(x)

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.IF.C.8

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

If f(x)=x+5, what is f^-1(x)?

• (x + 5)²

• x - 5

• (x + 5)^-1

• undefined

Tags

CCSS.HSF.BF.B.4

CCSS.HSF.IF.A.2

Tags

CCSS.HSF.BF.B.4

All of the x values or inputs are called what?

• Domain

• Range

• Relation

• Function

Tags

CCSS.HSF.IF.A.1

All of the y values or outputs are called what?

• Domain

• Range

• Relation

• Function

Tags

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.HSF.IF.A.1

• 2

• 15

• 7

• -9

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

What is the DOMAIN in the given figure?

• {1}

• {1, 4}

• {-2, -1, 1, 2}

• {-2, -1, 1, 2, 4}

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

CCSS.HSF.IF.B.4

CCSS.HSF.IF.B.5