To find the inverse of any function, switch the x's with y's and vice versa.
The current equation given is [tex] y=4x-8 [/tex]
Switch the [tex]y[/tex] with [tex]x[/tex] and switch the [tex]x[/tex] with [tex]y[/tex]
After doing so, we'll have the following equation:
[tex] x=4y-8 [/tex]
Now, let's move the variables around so that y is isolated on the left side again.
Subtract both sides by 4y
[tex] x-4y=-8 [/tex]
Subtract both sides by x
[tex] -4y=-8-x [/tex]
Divide both sides by -4
[tex] y= \dfrac{x}{4}+2 [/tex]
That is the answer.
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