Inverse Functions

Front

The inverse of the function f(x) is written as ...

Back

f ^-1(x)

Front

The inverse has been reflected over which line? Options: y = x, x = 0, y = 0, x = -y

Back

y = x

Front

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

Back

The domain of a function always becomes the domain of its inverse.

Front

When finding the inverse of a relation, 1st you replace f(x) with y, 2nd switch the x's and y's. What do you do next?

Back

solve for y

Front

What are the missing values if g(x)=f^-1(x)? Options: (9,-5), (-9,-5), (5,9), (-9,5)

Back

(9,-5)

Front

If the equation of f(x) goes through (1, 4) and (4, 6), what points does f^-1(x) go through?

Back

(4, 1) and (6, 4)

Front

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

Back

f^-1(x) = 4x + 28

Front

Are the following inverses of each other?

Back

True

Front

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

Back

False

Front

What does it mean to find the inverse of a function?

Back

the x's and y's are switched