Respuesta :

The steps to finding the inverse is writting:

  • y = x + 5
  • x = y + 5   (applying a change of variables).
  • y = x - 5   (isolating y).

How to write the inverse of the given function?

Here we have the function:

y = f(x) = x + 5

Basically, to find the inverse we need to isolate x. The first step is writing

y = x + 5

Now let's do a "false change of variables" of x by y, so we get:

x = y + 5

Now we need to isolate y again:

y = x - 5

This is the inverse of the function f(x), we have:

[tex]f(x) = x + 5\\\\f^{-1}(x) = x - 5[/tex]

If you want to learn more about inverse functions:

https://brainly.com/question/14391067

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