Question

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

Explanation:

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

$y = -3x + 3$

Step2: Swap $x$ and $y$

$x = -3y + 3$

Step3: Isolate the term with $y$

$3y = -x + 3$

Step4: Solve for $y$

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

Answer:

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