IMathAS-libretexts

Given $\displaystyle {f{{\left({x}\right)}}}={x}+{7}$ and $\displaystyle {g{{\left({x}\right)}}}=\sqrt{{{x}+{8}}}$ , determine the domain of $\displaystyle {g{{\left({f{{\left({x}\right)}}}\right)}}}$

$\displaystyle {\left[-{8},\infty\right)}$
$\displaystyle {\left(-\infty,\infty\right)}$
$\displaystyle {\left[-{15},\infty\right)}$
$\displaystyle {\left[-\infty,{15}\right)}$
$\displaystyle {\left[-\infty,{8}\right)}$

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