One to One Function Inverses

To prove two functions are inverses of each other, both f(g(x)) and g(f(x) should equal...

• 1

• x

• 0

• y

A function has an inverse function if...

• It passes the Vertical Line Test

• It fails the Horizontal Line Test

• It passes the Horizontal Line Test

• It fails the Vertical Line Test

Graph the inverse (Hint: look at y=x)

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What's the name of the inverse of g(x)?

• f(x)

• f^-1(x)

• y

• g^-1(x)

The inverse has been reflected over which line?

• y = x

• y =1

• y = 0

• y = x + 1

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)

• A
• B
• C
• D

• A.
• B.
• C.
• D.

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

Are these functions inverses of each other?

• Yes

• No