Hi there!
[tex]m(x) = 5x - 5[/tex]
First replace m(x) by y.
[tex]y = 5x - 5[/tex]
To find the inverse function we must switch the places from the variables x and y.
[tex]x = 5y - 5[/tex]
Now we need to isolate the y again to find the formula of the inverse function. First add 5 to both sides.
[tex]x + 5 = 5y[/tex]
Switch sides.
[tex]5y = x + 5[/tex]
And finally divide both sides by 5.
[tex]y = \frac{x + 5}{5} [/tex]
And therefore we can conclude the following:
[tex]m {}^{ - 1} (x) = \frac{x + 5}{5} [/tex]
The answer is C.
~ Hope this helps you!
