Inverse Functions

Front

What is an inverse function?

Back

An inverse function reverses the effect of the original function. If f(x) = y, then the inverse function g(y) = x.

Tags

CCSS.HSF-BF.B.4A

Front

If f and g are inverse functions, what is true about f(g(x))?

Back

f(g(x)) = x for all x in the domain of g.

Tags

CCSS.HSF-BF.B.4B

Front

If f(2) = -1, what is g(-1)?

Back

g(-1) = 2, since f and g are inverse functions.

Tags

CCSS.HSF-BF.B.4C

Front

What is the graphical representation of inverse functions?

Back

Inverse functions are reflections of each other over the line y = x.

Tags

CCSS.HSF-BF.B.4C

Front

What does it mean for two functions to be inverses?

Back

Two functions are inverses if their compositions yield the identity function.

Tags

CCSS.HSF-BF.B.4B

Front

If g(1) = -2, what is f(-2)?

Back

f(-2) = 1, since f and g are inverse functions.

Tags

CCSS.HSF-BF.B.4C

Front

What is the line of reflection for inverse functions?

Back

The line of reflection is y = x.

Tags

CCSS.HSF-BF.B.4C

Front

How can you verify if two functions are inverses?

Back

Check if f(g(x)) = x and g(f(x)) = x for all x in their domains.

Tags

CCSS.HSF-BF.B.4B

Front

What is the domain of an inverse function?

Back

The domain of the inverse function is the range of the original function.

Tags

CCSS.HSF-BF.B.4C

Front

What is the range of an inverse function?

Back

The range of the inverse function is the domain of the original function.

Tags

CCSS.HSF-BF.B.4C