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/-5x

Answer 1

Switch your X and Y =

x = 5y - 5

Add 5 to both sides

x +5 = 5y

Divide both sides by 5

M -1 (x) = x+5/5

Answer 2

Hi there!

$m(x) = 5x - 5$
First replace m(x) by y.

$y = 5x - 5$
To find the inverse function we must switch the places from the variables x and y.

$x = 5y - 5$
Now we need to isolate the y again to find the formula of the inverse function. First add 5 to both sides.

$x + 5 = 5y$
Switch sides.

$5y = x + 5$
And finally divide both sides by 5.

$y = \frac{x + 5}{5}$
And therefore we can conclude the following:

$m {}^{ - 1} (x) = \frac{x + 5}{5}$
The answer is C.
~ Hope this helps you!