Question

find the inverse function in slope-intercept form (mx+b):
$f(x)=3x+6$

Explanation:

Step1: Replace $f(x)$ with $y$

$y = 3x + 6$

Step2: Swap $x$ and $y$

$x = 3y + 6$

Step3: Isolate the term with $y$

$x - 6 = 3y$

Step4: Solve for $y$

$y = \frac{1}{3}x - 2$

Answer:

$f^{-1}(x) = \frac{1}{3}x - 2$