Inverse Operation

Use the horizontal line test to determine if the function has an inverse function.

• yes

• no

Which graph shows inverse functions?

• 
• 
• 
• 

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

Find the inverse of f(x) = -4x - 12

• f^-1(x) = 4x - 3

• f^-1(x) = -1/4x - 3

• f^-1(x) = 1/4x + 3

• f^-1(x) = -4x - 3

Are the following inverses of each other? Use composition of functions. fog(x) and gof(x)

• True

• False

Was the inverse function found correctly?

• no,

• yes

Find the inverse of
f(x) = 1/4x - 7

• f^-1(x) = 4x + 7

• f^-1(x) = -4x + 28

• f^-1(x) = -4x - 7

• f^-1(x) = 4x + 28

• Inverse Functions
• Not Inverse Functions

What operation allows us to verify if functions are inverses?

• Multiplying

• Dividing

• Adding

• Composing

What does an inverse function do?

• Nothing

• Makes it bigger

• Does the opposite of the original function