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Algebra

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Finding the Inverse of an Exponential Function

ALGEBR-ZAR4GG

If $f(x)=4e^{3x+2}$, find $f^{-1}(x)$.

A

$\cfrac{1}{4}e^{-3x-2}$

B

$\cfrac{1}{3}\left(\ln\left(\frac{x}{4}\right)-2\right)$

C

$-4e^{3x+2}$

D

$\ln\left(\cfrac{x}{12}\right)-2$

E

Does not exist

F

None of these