A2.7j Inverse Function

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

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)

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 becomes the domain of its inverse.

• The domain of a function becomes the range of its inverse.

Find the inverse of f(x) = x² - 5

• f^-1(x) = √(x) + 5
• f^-1(x) = ∛(x-5)
• f^-1(x) =√(x+5)
• f^-1(x) = x² - 5

Find the inverse of y = √(2x - 5)

• (x² + 5)/2
• (x² - 5)/2
• (√x + 5) / 2
• (√x - 5) / 2

Are these the graphs of two inverse functions? The dotted line is the inverse function.

• Yes

• No

• No way to tell

The relation in the graph is..

• a function but not a one-to-one function.

• a one-to-one function.

• not a function