Question

Find the inverse function in slope-intercept form (mx+b):

Answer 1

Answer:

$f^-^1(x)= \frac{1}{5} x+2$

Step-by-step explanation:

To find the inverse of a function, or in this case $f^-^1(x)$, switch the places of the x and y in the given function, then isolate y. (Remember that $f(x)$ is another way of saying y.)

$f(x) = 5x - 10\\x = 5y-10\\-5y + x = -10\\-5y = -x-10\\y = \frac{1}{5} x+2$

Thus,  $f^-^1(x)= \frac{1}{5} x+2$.