Finding Inverses of Graphs

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

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's the notation for the inverse of g(x)?

• f(x)

• f^-1(x)

• y

• g^-1(x)

Are these functions inverses of each other?

• Yes

• No

Is the red graph the inverse of the blue graph?

• no

• yes

• no way to tell

Which of the following graphs show the correct graphs of the original and inverse.

• 
• 
• 
• 

When two functions are inverses of each other, their graphs reflect over...

• y=x

• x-axis

• y-axis

To prove two functions are inverses of each other, the composition listed below must simplify down to what?

• 1

• x

• 0

• y

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 is the equation that the inverse will reflect across?

• y = x

• y = 0

• x = 0

• Potato