Question

find the inverse of the function.
$f(x)=x - 3$
write your answer in the form $ax + b$. simplify any fraction
$f^{-1}(x)=$

Explanation:

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

\( y = x - 3 \)

Step2: Swap \( x \) and \( y \)

\( x = y - 3 \)

Step3: Solve for \( y \)

Add 3 to both sides: \( y = x + 3 \)

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

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

Answer:

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