Functions

Find the inverse of

 $f\left(x\right)=3x-2$  

•  $f^{-1}\left(x\right)=\frac{\left(x+2\right)}{3}$  

•  $f^{-1}\left(x\right)=\frac{3x}{2}$  

•  $f^{-1}\left(x\right)=x+\frac{2}{3}$  

•  $f^{-1}\left(x\right)=\frac{x}{3}+2$  

What is the inverse of

 $f\left(x\right)=\frac{1}{3}x-7$  

•  $f^{-1}\left(x\right)=3x+7$  

•  $f^{-1}\left(x\right)=\frac{x+7}{3}$  

•  $f^{-1}\left(x\right)=3x+21$  

•  $f^{-1}\left(x\right)=\frac{3x}{7}$  

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

What is the inverse of the function
f(x) = 2x + 4   ?

• f^-1(x) = 4(x -2)
• f^-1(x) = (x-4)/2
• f^-1(x) = x/2 - 4
• f^-1(x) = x/4 + 2

Are these functions inverses of each other?

• Yes
• No

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)

Find the inverse 
f(x)= x⁴ - 2

• ∜(x+2)
• (x+2)⁴
• -1+2x⁴
• ∜2x

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

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

• f ^-1(x)
• f ²(x)
• f '(x)
• f ⁺(x)