Algebra II Inverse

Find the inverse of the function
f(x) = 3x − 5

• f^-1(x)=3x +5

• f^-1(x)=(x+5)/3

• f^-1(x)=3y-5

• f^-1(x)=3y+5

Is the inverse function found correctly?

• yes

• no

What does it mean to find the inverse of a function?

• the x's and y's are switched

• the x's and y's are divided by 2

• the x's and y's are made negative

• the x's and y's are the same

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

• f ^-1(x)

• f ²(x)

• f '(x)

• f ⁺(x)

• A
• B
• C
• D

If (f(x) = 12x - 4, then the inverse function f^-1(x) is:

• f^-1(x) = (x + 1)/(3)

• f^-1(x) = (x/3) + 1

• f^-1(x) = (x + 4)/(12)

• f^-1(x) = (x/12) + 4

Are these graphs inverses?

• yes

• no

• There is no way to tell

Find the inverse: f(x) = x³-1

• f^-1(x)= ³√x+1

• f^-1(x)= ³√x-1

• f^-1(x)= (x-1)/3

• f^-1(x)= (x+1)/3

Which is f ^-1(x)?

• f ^-1(x) = 3x + 5

• f ^-1(x) = 3x - 5

• f ^-1(x) = 3x - 15

• f ^-1(x) = 3x + 15

What is the first step in finding the equation of the inverse of a function?

• get x by itself

• switch x and y

• solve for y

• write the function in inverse function notation