Question

find the inverse function in slope - intercept form (mx + b):
$f(x)=\frac{2}{3}x + 4$

Explanation:

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

$y = \frac{2}{3}x + 4$

Step2: Swap $x$ and $y$

$x = \frac{2}{3}y + 4$

Step3: Isolate the term with $y$

$x - 4 = \frac{2}{3}y$

Step4: Solve for $y$

$y = \frac{3}{2}(x - 4) = \frac{3}{2}x - 6$

Answer:

$f^{-1}(x) = \frac{3}{2}x - 6$