Solve the following graphically. If necessary, round answers to the nearest thousandth.
-$e ^ { x } - 13 = - 42 e ^ { - x }$
A) $\{ 7,6 \}$
B) $\{ - 1 \}$
C) $\{ 1.946,1.792 \}$
D) $\{ 0.845,0.778 \}$

Question

Quizplus · Accepted Answer

To solve the equation $e^x - 13 = -42e^{-x}$ graphically, we first rearrange it to get all terms on one side: $e^x + 42e^{-x} = 13$. Then, we plot two functions: $y = e^x + 42e^{-x}$ and $y = 13$, and find their points of intersection. The correct solutions are the x-values of these intersection points, which are approximately $x = 1.946$ and $x = 1.792$, thus making option C correct.

Solve the Following Graphically ex−13=−42e−xe ^ { x } - 13 = - 42 e ^ { - x }ex−13=−42e−x

Solve the Following Graphically $e ^ { x } - 13 = - 42 e ^ { - x }$