Find the inverse of y=9x^2-4

y

=

9

x

2

-

4

y

=

9

x

2

-

4

Interchange the variables.

x

=

9

y

2

-

4

x

=

9

y

2

-

4

Solve for

y

y

.

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y

=

√

x

+

4

3

y

=

x

+

4

3

y

=

-

√

x

+

4

3

y

=

-

x

+

4

3

Solve for

y

y

and replace with

f

-

1

(

x

)

f

-

1

(

x

)

.

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f

-

1

(

x

)

=

√

x

+

4

3

,

-

√

x

+

4

3

f

-

1

(

x

)

=

x

+

4

3

,

-

x

+

4

3