Given $f(x)=x+2, g(x)=x-3, h(x)=x+4$ how do you determine $y=f(x)g(x)h(x)$ ?

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Answer 1 · 2017-02-18T03:23:19

$x^3 +3x^2 - 10x -24$

Use substitution:
$y = f(x)*g(x)*h(x) = (x+2)(x-3)(x+4)$

Distribute the first two factors: $(x^2+2x-3x-6)(x+4)$

Simplify: $(x^2-x-6)(x+4)$

Distribute and add like-terms:
$x^3 + 4x^2 -x^2 -4x -6x -24$

$= x^3 +3x^2 - 10x -24$

Given f(x)=x+2, g(x)=x-3, h(x)=x+4f(x)=x+2, g(x)=x-3, h(x)=x+4 how do you determine y=f(x)g(x)h(x)y=f(x)g(x)h(x)?