Question

Find the inverse function
y=-5x+20

Answer 1

`x = -(1)/(5) y + 4`

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

`(-5x)/(-5)  = ((y-20))/(-5)`

simplify:

`x = ((y-20))/(-5)`

`x = ((y))/(-5)-(20)/(-5)`

Finally you will get:

`x = -(1)/(5)y+4`