Inverse functions

Front

Find the inverse of f(x)=2x-2

Back

f^-1(x)=1/2x+1

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

The inverse has been reflected over which line? Options: y = x, y =1, y = 0, y = x + 1

Back

y = x

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

Given that f(x) = 3x + 5 and g(x) = 1/3x + 5, find f(g(x)). Are the two functions inverses of each other?

Back

x + 20 ; No, they are not inverses

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

What's the best description?

Back

They are inverse functions.

Front

What's the best description? Options:

They are both functions, but not inverse functions.

,

They are reflected over y=x, but they are not both functions.

,

They are not reflected over y=x, and they are not both functions.

,

They are inverse functions.

Back

They are reflected over y=x, but they are not both functions.

Front

f(x) = -4x - 12

What is f^-1(x)?

Back

f^-1(x) = -1/4x - 3

Front

Which graph represents the functions f(x) and f^-1(x)?

Back