Question

Find the inverse function in slope-intercept form (mx+b): f(x)=-3/5x+6

Answer 1

Answer:

$f^{-1}(x)=-\frac{5}{3} x+10$

Step-by-step explanation:

Steps to find the inverse function:

1) replace f(x) with "y"

$y=-\frac{3}{5} x+6$

2) solve for x:

$y-6=-\frac{3}{5} x\\x=-\frac{5}{3}(y-6)\\ x=\frac{5}{3} (6-y)\\x=-\frac{5}{3} y+10$

3) replace "x" with $f^{-1}(x)$, and y with x:

$f^{-1}(x)=-\frac{5}{3} x+10$