Respuesta :

For this case we have to find the inverse of a function, follow the steps below:

  • Replace f (x) with y.
  • We exchange the variables.
  • We solve for "y".
  • Finally we change y by [tex]f ^ {- 1} (x)[/tex]

Then, it is observed that of option 3:

[tex]f (x) = 4x[/tex]

Replace [tex]f (x)[/tex]with y:

[tex]y = 4x[/tex]

We exchange the variables:

[tex]x = 4y[/tex]

We solve for "y":

[tex]4y = x\\y = \frac {x} {4}[/tex]

Finally we change y by [tex]f ^ {- 1} (x):[/tex]

[tex]f ^ {- 1} (x) = \frac {x} {4}[/tex]

Answer:

The correct option is C

Answer:

It's the third choice.

Step-by-step explanation:

f(x) = y = 4x

x = 1/4 y

Change the y to x:

so the inverse g(x) = 1/4 x.

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