Answer:
[tex]x = -\frac{1}{5} y + 4[/tex]
Step-by-step explanation:
The inverse function is a function that reverse a given function.
You can follow this procedure:
The given equation is [tex]y = -5x +20[/tex]
First change the position of the x, because is the variable you need.
[tex]-5x+20= y[/tex]
Now substract 20 in both sides of the equation:
[tex]-5x+20-20= y-20[/tex]
Do the necesary calculations
[tex]-5x= y-20[/tex]
Now divide by -5 both sides of the equation to clear X
[tex]\frac{-5x}{-5} = \frac{(y-20)}{-5}[/tex]
simplify:
[tex]x = \frac{(y-20)}{-5}[/tex]
[tex]x = \frac{(y)}{-5}-\frac{20}{-5}[/tex]
Finally you will get:
[tex]x = -\frac{1}{5}y+4[/tex]
