IXL - Find values of inverse functions from graphs (Precalculus practice)

The function

(

)

is invertible. Find

–

(

)

–

(

)

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Learn with an example

question

The function

(

)

is invertible. Find

–

(

)

–

(

)

key idea

A function is a rule that sends each input

(

-value)

to exactly one output

(

)

-value).

A function is invertible if each possible output is produced by exactly one input.

If a function

(

)

is invertible, its inverse is written

–

(

)

The inverse

–

(

)

takes output values of

(

)

and produces input values. That is:

–

(

)

if and only if

(

)

solution

Let

–

(

)

This means

is the number such that

(

)

To find

look for the point on the graph of

(

)

with

-value

The point

(

)

lies on the graph of

(

)

and has

-value

9. So:

(

)

–

(

)

Looking for more? Try these:

Lesson: Inverse functions

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Work it out

Not feeling ready yet? These can help:

A.4Find values using function graphs

B.2Find values of inverse functions from tables

Lesson: Inverse functions

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