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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