Inverse Functions

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

• f ^-1(x)
• f ²(x)
• f '(x)
• f ⁺(x)

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

When finding the inverse of a relation, 
1st you replace f(x) with y
2nd switch the x's and y's
What do you do next?

• solve for y
• replace y with f^-1(x)
• solve for x
• find the greatest common factor

Which of the following is NOT TRUE about inverse functions?

• Inverse functions are reflections of each other over the line y = x.

• You find the inverse by switching x and y in the equation.

• The domain of a function always becomes the domain of its inverse.

• The domain of a function always becomes the range of its inverse.

What is the inverse of the points (1,3)(2,4)(6,2)

• (2,6)(3,1)(4,2)
• (-3,-1)(-4,-2)(-2,-6)
• (1,3)(2,4)(6,2)
• (-1,-3)(-2,-4)(-6,-2)

If the equation of f(x) goes through (1, 4) and (4, 6), what points does f^-1(x) go through?

• (1, 4) and (4, 6)
• (-4, -1) and (-6, -4)
• (-1, -4) and (-4, -6)
• (4, 1) and (6, 4)

What are the missing values if g(x)=f^-1(x)?

• (9,-5)
• (-9,-5)
• (5,9)
• (-9,5)

Find the inverse of  $f(x)=4x$  

• $f^{-1}(x)=\frac{x}{4}$

• $f^{-1}(x)=4$

• $f^{-1}\left(x\right)=\frac{1}{4}$

Find the inverse of  $f(x)=3x+2$  

• $f^{-1}(x)=3x-2$

• $f^{-1}(x)=2+3x$

• $f^{-1}(x)=\frac{x-2}{3}$

Find the inverse of  $f(x)=2x+1$  

• $f^{-1}(x)=2x$

• $f^{-1}(x)=\frac{x-1}{2}$

• $f^{-1}(x)=2$