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

The function

(

)

is invertible. Find

–

(

–

)

x	f ( x )
– 30	– 34
– 29	– 33
– 28	– 32
– 27	– 31
– 26	– 30

–

(

–

)

ref_doc_title.

Learn with an example

question

The function

(

)

is invertible. Find

–

(

–

)

x	f ( x )
31	– 37
36	– 42
41	– 47
46	– 52
51	– 57

–

(

–

)

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 row in the table with an

(

)

-value

–

x	f ( x )
31	– 37
36	– 42
41	– 47
46	– 52
51	– 57

The

-value

51 produces the

(

)

-value

–

So:

(

)

–

(

–

)

Looking for more? Try these:

Lesson: Inverse functions

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A.5Complete a table for a function graph

Lesson: Inverse functions

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