If $f (x) = - 2 x + 7$ $f(x)=-2x+7$ and $g (x) = x + 2$ $g(x)=x+2$ , what is $f \cdot g$ $f * g$ ?

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If $f (x) = - 2 x + 7$ $f(x)=-2x+7$ and $g (x) = x + 2$ $g(x)=x+2$ , what is $f \cdot g$ $f * g$ ?

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Answer 1 · 2017-10-01T07:39:48

$(f \cdot g) (x) = - 2 x^{2} + 3 x + 14$ $(f*g)(x)=-2x^2+3x+14$

Explanation:

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

$(f \cdot g) (x) = (- 2 x + 7) (x + 2)$ $color(white)((f*g)(x))=(-2x+7)(x+2)$

$expand using FOIL$ $"expand using FOIL"$

$(- 2 x + 7) (x + 2) = - 2 x^{2} - 4 x + 7 x + 14$ $(-2x+7)(x+2)=-2x^2-4x+7x+14$

$\Rightarrow (f \cdot g) (x) = - 2 x^{2} + 3 x + 14$ $rArr(f*g)(x)=-2x^2+3x+14$

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If $f (x) = - 2 x + 7$ $f(x)=-2x+7$ and $g (x) = x + 2$ $g(x)=x+2$ , what is $f \cdot g$ $f * g$ ?

1 Answer

Explanation:

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If f(x)=−2x+7f(x)=-2x+7 and g(x)=x+2g(x)=x+2, what is f⋅gf * g?

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Explanation:

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If $f (x) = - 2 x + 7$ $f(x)=-2x+7$ and $g (x) = x + 2$ $g(x)=x+2$ , what is $f \cdot g$ $f * g$ ?