Question

Find the inverse function of

m(x) = 5x - 5

A. m-1(x) = 5x + 5
B. m-1(x) = -5x + 5
C.m-1(x)= x+5/5
D.m-1(x)= x+5/-5 x

Answer 1

The correct answer is C. m-1(x) =
`(x + 5)/(5)`

You can find the value of any inverse function by switching the m(x) and the x value. Then you can solve for the new m(x) value. The end result will be your new inverse function. The step-by-step process is below.

m(x) = 5x - 5 ----> Switch m(x) and x

x = 5m(x) - 5 ----> Add 5 to both sides

x + 5 = 5m(x) ----> Divide both sides by 5

`(x + 5)/(5)` = m(x) ----> Change the order for formatting purposes.

m(x) =
`(x + 5)/(5)`

And this would be your inverse, which matches answer C.