For the given function $f(x)$, find its inverse.
-$f(x)=e^{x+8}$
A) $f^{-1}(x)=\ln (8)-x$
B) $\mathrm{f}^{-1}(\mathrm{x})=\ln (\mathrm{x})-\ln (8)$
C) $\mathrm{f}^{-1}(\mathrm{x})=\ln (\mathrm{x})-8$
D) $\mathrm{f}^{-1}(\mathrm{x})=\ln (\mathrm{x}-8)$

Question

Quizplus · Accepted Answer

To find the inverse, solve $y = e^{x+8}$ for $x$. Taking the natural logarithm of both sides gives $x = \ln(y) - 8$. Thus, the inverse function is $f^{-1}(x) = \ln(x) - 8$.

For the Given Function f(x)f(x)f(x) , Find Its Inverse f(x)=ex+8f(x)=e^{x+8}f(x)=ex+8 A) f−1(x)=ln⁡(8)−xf^{-1}(x)=\ln (8)-xf−1(x)=ln(8)−x

For the Given Function $f(x)$ , Find Its Inverse $f(x)=e^{x+8}$ A) $f^{-1}(x)=\ln (8)-x$