Question

Find the inverse function y=-5x+20

Answer 1

Answer:

$x = -\frac{1}{5} y + 4$

Step-by-step explanation:

The inverse function is a function that reverse a given function.

You can follow this procedure:

The given equation is $y = -5x +20$

First change the position of the x, because is the variable you need.

$-5x+20= y$

Now substract 20 in both sides of the equation:

$-5x+20-20= y-20$

Do the necesary calculations

$-5x= y-20$

Now divide by -5 both sides of the equation to clear X

$\frac{-5x}{-5} = \frac{(y-20)}{-5}$

simplify:

$x = \frac{(y-20)}{-5}$

$x = \frac{(y)}{-5}-\frac{20}{-5}$

Finally you will get:

$x = -\frac{1}{5}y+4$