Question

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

Explanation:

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

$y = -x + 6$

Step2: Swap $x$ and $y$

$x = -y + 6$

Step3: Solve for $y$

$y = -x + 6$

Step4: Replace $y$ with $f^{-1}(x)$

$f^{-1}(x) = -x + 6$

Answer:

$f^{-1}(x) = -x + 6$