4859367 4859367
  • 23-04-2024
  • Mathematics
contestada

Find the inverse of this function f(x) = Vx+6/11

Respuesta :

emma904973 emma904973
  • 23-04-2024

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

.

Tap for more steps...

Step-by-step explanation:

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