Hey there!!
f(x) is basically ' y '
In order to inverse a equation, we will need to switch the values of x and y
The equation :
[tex]y = 2x - 10[/tex]
Now switching the positions :
[tex]x = 2y - 10[/tex]
[tex]x + 10 = 2y[/tex]
[tex]y = \frac{x+10}{2}[/tex]
[tex]y = \frac{x}{2} + 5[/tex]
This is the inverse.
Hope my answer helps!