Functions and Their Inverse

• Switch the x and y

• subtract 5 from both sides

• take the square root of both sides

• add 3 to both sides

• re-write using inverse notation, determine if you need the positive or negative square root

If f(x) is the quadratic and g(x) is the POSITIVE linear function, where does f(x)=g(x)?

• {-.5, .75}

• {-1, 1.5}

• {1, 3}

• {-.5, 0}

Given the parent function, determine the equation of the transformation.

• f(x)= -1/4 ∣x-3∣-1

• f(x)= -1/4 ∣x+3∣-1

• f(x)= -3/4 ∣x+3∣-1

• f(x)= -3/4 ∣x-3∣-1

Find the inverse of the function h(x)=(2/3)x+5.

• h^-1(x)=3(x+5)/2

• h^-1(x)=2(x-5)/3

• h^-1(x)=3(x-5)/2

• h^-1(x)=2(x+5)/3

Given the piece wise function, evaluate f(-17).

• 2

• 374

• 614.125

• -204

Evaluate f(5).

• 8.93

• 34

• 0

• 24

Determine if the function has an inverse function. If it does, then find the inverse function.

• no inverse

Determine if the function has an inverse function. If it does, then find the inverse function.

• no inverse

Are these functions inverses?

• Yes

• No

Are these functions inverses?

• yes

• no