## Calculus Concepts: An Informal Approach to the Mathematics of Change 5th Edition

$g(x(w)) =4\sqrt{7} e^{w}$ and $g(x(w)) =4\sqrt{7} e^{2}$
Given $$g(x)=\sqrt{7 x^{2}} ; x(w)=4 e^{w}$$ Since $g(x(w))$ given by \begin{align*} g(x(w))&=\sqrt{7 (x(w))^{2}} \\ &=\sqrt{7 (4 e^{w})^{2}} \\ &=4\sqrt{7} e^{w} \end{align*} and $g(x(w)) =4\sqrt{7} e^{2}$