Answer :

Answer:

-11

y

=

6

x

11

Interchange the variables.

x=6y-11

x

=

6

y

11

Solve for y

y

.

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y=

x

6

+

11

6

y

=

x

6

+

11

6

Replace y

y

with f-1(x)

f

1

(

x

)

to show the final answer.

f-1(x)=

x

6

+

11

6

f

1

(

x

)

=

x

6

+

11

6

Verify if f-1(x)=

x

6

+

11

6

f

1

(

x

)

=

x

6

+

11

6

is the inverse of f(x)=6x-11

f

(

x

)

=

6

x

11

.

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Step-by-step explanation:

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