Express $h(x)$ as a composition of two functions $f(x)$ and $g(x)$ : (f $\circ g)(x)$. A nsw ers may vary. Choose the possible answer.
-$h(x)=5 \sqrt{6 x-17}+10$
A) $f(x)=5 \sqrt{x+10}, g(x)=6 x-17$
B) $f(x)=5 \sqrt{x}+10, g(x)=6 x-17$
C) $f(x)=5 \sqrt{x}, g(x)=6 x-7$
D) $f(x)=5 \sqrt{x+10}, g(x)=6 x-7$

Question

Quizplus · Accepted Answer

B) is correct because $g(x) = 6x - 17$ can be substituted into $f(x) = 5\sqrt{x} + 10$ as the input $x$, resulting in $5\sqrt{6x - 17} + 10$, which matches $h(x)$.

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