Verifying Inverses

What does it mean when two functions are inverses?

Hint: There might be more than one correct answer.

• They are the same function written in a different format.

• The inverse of a function will "undo" the original function.

• An inverse of a function will swap the inputs (x-values) with the outputs (y-values)

• The inverse of a function is a reflection across the line y = x.

Answer explanation

Inverse functions "undo" the original function by swapping the inputs and outputs which results in a reflection across the x-axis!

Tags

CCSS.HSF-BF.B.4A

• True

• False

Tags

CCSS.HSF-BF.B.4B

• True

• False

Tags

CCSS.HSF-BF.A.1C

When given two functions f(x) and g(x), how can we tell if they are inverses?

• If you multiply them together and get x, they are inverses.

• If you compose them and get x, they are inverses.

• If you divide them and get x, they are inverses.

• If you add them together and get x, they are inverses.

Tags

CCSS.HSF-BF.B.4B

Yes or No: These two functions are inverses.

f(x) = x + 2

g(x) = -x - 2

• Yes

• No

Tags

CCSS.HSF-BF.B.4B

• Yes

• No

Tags

CCSS.HSF-BF.B.4B

• Yes

• No

Tags

CCSS.HSF-BF.B.4B