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find the inverse of the function $y = \\ln(x - 4)$. $y = \\square$

Question

find the inverse of the function $y = \ln(x - 4)$.
$y = \square$

Explanation:

Step1: Swap x and y variables

$x = \ln(y - 4)$

Step2: Exponentiate both sides (base e)

$e^x = y - 4$

Step3: Solve for y

$y = e^x + 4$

Answer:

$y = e^x + 4$