Homework: Inverse Functions

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

• f ^-1(x)
• f ²(x)
• f '(x)
• f ⁺(x)

The inverse has been reflected over which line?

• y = x
• x = 0
• y = 0
• x = -y

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

• (9,-5)
• (-9,-5)
• (5,9)
• (-9,5)

What's the best description?

• They are both functions, but not inverse functions.

• They are reflected over y=x, but they are not both functions.

• They are not reflected over y=x, and they are not both functions.

• They are inverse functions.

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)

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

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  $f(x)=\frac{x-5}{3}$  

• $f^{-1}(x)=\frac{3}{5}+x$

• $f^{-1}(x)=3x+5$

• $f^{-1}(x)=5x+3$

Find the inverse of  $f(x)=10+7x$  

• $f^{-1}(x)=\frac{x-7}{10}$

• $f^{-1}(x)=\frac{x-10}{7}$

• $f^{-1}(x)=\frac{1}{10+7x}$