Question

what is the inverse of the function below f(x) =x/5 -2

Answer 1

inverse f(x) =x/5 -2 = 5(x+2)

Answer 2

Answer:

$y=5x+10$

Step-by-step explanation:

$f(x)=\frac{x}{5} -2$

To find the inverse of the function we do the following steps

Replace f(x) with y

$y=\frac{x}{5} -2$

Replace y with x and x with y

$x=\frac{y}{5} -2$

Solve the equation for y

Add 2 on both sides

$x+2=\frac{y}{5}$

Now multiply by 5 on both sides

$5(x+2)=y$

Now distribute 5 inside the parenthesis

$5x+10= y$

$y=5x+10$