Solve the problem.
-If $f ( x ) = e ^ { x }$, find $f \left[ \ln \left( \frac { 1 } { e ^ { 3 } } \right) \right]$
A) $e ^ { 1 / x }$
B) $\ln e$
C) $- 3$
D) $\frac { 1 } { e ^ { 3 } }$

Question

Quizplus · Accepted Answer

The function $f(x) = e^x$ applied to $f\left[\ln\left(\frac{1}{e^3}\right)\right]$ simplifies to $e^{\ln\left(\frac{1}{e^3}\right)}$. Since $e^{\ln(x)} = x$, the expression simplifies to $\frac{1}{e^3}$, which matches option D.

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