If $g(x)=-2x^2-5x$ and $h(x)=3x+2$ , how do you find $g(h(x))$ ?

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Answer 1 · 2018-03-15T21:12:26

$-18x^2-39x-18$

$-2(3x+2)^2 - 5(3x+2)$ plug in $3x+2$ for $x$
$-2(9x^2+12x+4) - 15x-10$
$-18x^2-24x-8-15x-10$
$-18x^2-39x-18$

If g(x)=-2x^2-5xg(x)=-2x^2-5x and h(x)=3x+2h(x)=3x+2, how do you find g(h(x))g(h(x))?