If $f(x)=2x^2 + x$ and $g(x)=x-2$ what is [f•g](x)?

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Answer 1 · 2017-10-11T18:24:16

$(f*g)(x)=2x^3-3x^2-2x$

$f(x)=2x^2+x$

$g(x)=x-2$

We know $(f*g)(x)=f(x)*g(x)$

So, $(f*g)(x)=(2x^2+x)(x-2)$

$(f*g)(x)=2x^3-3x^2-2x$

Answer 2 · 2017-10-11T18:44:42

$2x^3-3x^2-2x$

$(f*g)(x)=f(x)xxg(x)$

$=x(2x+1)(x-2)larr" expand factors using FOIL"$

$=x(2x^2-3x-2)$

$=2x^3-3x^2-2x$

If f(x)=2x^2 + xf(x)=2x^2 + x and g(x)=x-2g(x)=x-2 what is [f•g](x)?