If $f (x) = x + 5$ $f(x) = x +5$ and $g (x) = 2 x + 4$ $g(x) = 2x + 4$ , then what is $(g \cdot f) (2)$ $(g * f)(2)$ ?

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If $f (x) = x + 5$ $f(x) = x +5$ and $g (x) = 2 x + 4$ $g(x) = 2x + 4$ , then what is $(g \cdot f) (2)$ $(g * f)(2)$ ?

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Answer 1 · 2017-10-24T18:53:09

$(g \cdot f) (2) = 56$ $(g*f)(2)=56$

Explanation:

$note (g \cdot f) (x) = g (x) \times f (x)$ $"note "(g*f)(x)=g(x)xxf(x)$

$\times \times \times \times \times = (2 x + 4) (x + 5)$ $color(white)(xxxxxxxxxx)=(2x+4)(x+5)$

$expand factors using the FOIL method$ $"expand factors using the FOIL method"$

$\Rightarrow (g \cdot f) (x) = 2 x^{2} + 14 x + 20$ $rArr(g*f)(x)=2x^2+14x+20$

$to obtain (g \cdot f) (2) substitute x = 2 into (g \cdot f) (x)$ $"to obtain "(g*f)(2)" substitute x = 2 into "(g*f)(x)$

$\Rightarrow (g \cdot f) (2) = 2 \times 2^{2} + (14 \times 2) + 20$ $rArr(g*f)(2)=2xx2^2+(14xx2)+20$

$\times \times \times \times x = 8 + 28 + 20 = 56$ $color(white)(xxxxxxxxx)=8+28+20=56$

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If $f (x) = x + 5$ $f(x) = x +5$ and $g (x) = 2 x + 4$ $g(x) = 2x + 4$ , then what is $(g \cdot f) (2)$ $(g * f)(2)$ ?

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If f(x) = x +5f(x)=x+5f(x) = x +5 and g(x) = 2x + 4g(x)=2x+4g(x) = 2x + 4, then what is (g * f)(2)(g⋅f)(2)(g * f)(2)?

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If $f (x) = x + 5$ $f(x) = x +5$ and $g (x) = 2 x + 4$ $g(x) = 2x + 4$ , then what is $(g \cdot f) (2)$ $(g * f)(2)$ ?