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

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

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Answer 1 · 2017-10-11T18:24:16

$(f \cdot g) (x) = 2 x^{3} - 3 x^{2} - 2 x$ $(f*g)(x)=2x^3-3x^2-2x$

Explanation:

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

$g (x) = x - 2$ $g(x)=x-2$

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

So, $(f \cdot g) (x) = (2 x^{2} + x) (x - 2)$ $(f*g)(x)=(2x^2+x)(x-2)$

$(f \cdot g) (x) = 2 x^{3} - 3 x^{2} - 2 x$ $(f*g)(x)=2x^3-3x^2-2x$

Answer 2 · 2017-10-11T18:44:42

$2 x^{3} - 3 x^{2} - 2 x$ $2x^3-3x^2-2x$

Explanation:

$(f \cdot g) (x) = f (x) \times g (x)$ $(f*g)(x)=f(x)xxg(x)$

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

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

$= 2 x^{3} - 3 x^{2} - 2 x$ $=2x^3-3x^2-2x$

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

2 Answers

Explanation:

Explanation:

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