Given that $\mathrm{g}(x) = 2 + \mathrm{e}^x$, $x \in \mathbb{R}$ and \(\mathrm{f}(x) = -\l

Question

Given that $\mathrm{g}(x) = 2 + \mathrm{e}^x$, $x \in \mathbb{R}$ and $\mathrm{f}(x) = -\ln x$, $x \in \mathbb{R},x>0$. Find the exact range of $\mathrm{fg}$, $\mathrm{gf}$.

Accepted Answer

(a) $(-\infty,-\ln2)$ (b) $(2,\infty)$

Functions - Range of a Composite Function

Functions - Range of a Composite Function

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