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: Solve for \( y \)

First, add 3 to both sides: \( x + 3 = -3y \)
Then, divide both sides by -3: \( y = -\frac{1}{3}x - 1 \)

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

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

Answer:

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