find the inverse function in slope - intercept form (mx + b):\n$f(x)=\frac{5}{3}x - 15$

Explanation:

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

$y=\frac{5}{3}x - 15$

Step2: Swap $x$ and $y$

$x=\frac{5}{3}y - 15$

Step3: Solve for $y$

First, add 15 to both sides: $x + 15=\frac{5}{3}y$ Then, multiply both sides by $\frac{3}{5}$: $y=\frac{3}{5}(x + 15)$ Expand the right - hand side: $y=\frac{3}{5}x+9$

Answer:

$f^{-1}(x)=\frac{3}{5}x + 9$