How do you find the inverse of $f (x) = 12 + ln (x)$ $f(x)=12+ln(x)$ ?

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Answer 1 · 2018-06-14T12:00:49

$e^{x - 12} = y$ $e^(x-12)=y$

$y = 12 + I n x$ $y=12+Inx$

To find the inverse of a function, you replace the x with the y and the y with the x in the original equation

$x = 12 + I n y$ $x=12+ In y$

$x - 12 = I n y$ $x-12=In y$

$x - 12 = {log}_{e} y$ $x-12=log_e y$

$e^{x - 12} = y$ $e^(x-12)=y$ is the inverse function

How do you find the inverse of f(x)=12+ln(x)f(x)=12+ln(x)f(x)=12+ln(x)?