Understanding Inverse Functions

What does an inverse function do to the original function?

• It repeats the function

• It reverses the function

• It nullifies the function

• It duplicates the function

What is the inverse notation for a function f(x)?

• f(x)^-1

• f^-1(x)

• 1/f(x)

• f-1(x)

If a function is represented as f(x) = x^2, what would be its inverse?

• f^-1(x) = 2x

• f^-1(x) = x^2

• f^-1(x) = x/2

• f^-1(x) = sqrt(x)

In a function graph, if the point is (3, 5), what will be the point on the inverse function?

• (3, 5)

• (5, -3)

• (-3, -5)

• (5, 3)

If the original function's point is (-3, 7), what is the inverse point?

• (7, -3)

• (-7, 3)

• (-3, 7)

• (3, -7)

What is the reflection line mentioned in the context of inverse functions?

• y = x

• x = -y

• y = -x

• x = y

How do you find the inverse of a function in a table format?

• Multiply x and y values

• Switch the x and y values

• Switch the rows and columns

• Add values to x and y

What happens to the x and y values in the inverse of a function?

• They are doubled

• They are switched

• They are halved

• They are squared

What is the first step in finding the inverse of the equation f(x) = 6x - 12?

• Switch x and y

• Add 12

• Divide by 6

• Subtract 12

In the equation x = 6y - 12, what is the next step to find the inverse function?

• Subtract 6 from both sides

• Divide by 6

• Add 12 to both sides

• Multiply by 6