IXL - Find values of inverse functions from tables (Algebra 2 practice)

The function

(

)

is invertible. Find

–

(

–

)

x	f ( x )
– 10	– 52
– 7	– 37
– 4	– 22
– 1	– 7
2	8

–

(

–

)

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Learn with an example

question

The function

(

)

is invertible. Find

–

(

)

x	f ( x )
11	5
21	10
31	15
41	20
51	25

–

(

)

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

of 5.

x	f ( x )
11	5
21	10
31	15
41	20
51	25

The

-value

11 produces the

(

)

-value

5. 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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