How do you evaluate the function $f (x) = 3 x^{2} + 3 x - 2$ $f (x) = 3x^2 + 3x -2$ for $2 f (a)$ $2f (a)$ ?

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How do you evaluate the function $f (x) = 3 x^{2} + 3 x - 2$ $f (x) = 3x^2 + 3x -2$ for $2 f (a)$ $2f (a)$ ?

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Answer 1 · 2018-05-02T12:27:13

$2 f (a) = 6 a^{2} + 6 a - 4$ $2f(a)=6a^2+6a-4$

Explanation:

$evaluate f (a) by substituting x = a into f (x)$ $"evaluate "f(a)" by substituting x = a into "f(x)$

$\Rightarrow f (a) = 3 {(a)}^{2} + 3 (a) - 2$ $rArrf(color(red)(a))=3(color(red)(a))^2+3(color(red)(a))-2$

$\times \times \times = 3 a^{2} + 3 a - 2$ $color(white)(xxxxxx)=3a^2+3a-2$

$\Rightarrow 2 f (a) = 2 (3 a^{2} + 3 a - 2) = 6 a^{2} + 6 a - 4$ $rArr2f(a)=2(3a^2+3a-2)=6a^2+6a-4$

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How do you evaluate the function $f (x) = 3 x^{2} + 3 x - 2$ $f (x) = 3x^2 + 3x -2$ for $2 f (a)$ $2f (a)$ ?

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Explanation:

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How do you evaluate the function $f (x) = 3 x^{2} + 3 x - 2$ $f (x) = 3x^2 + 3x -2$ for $2 f (a)$ $2f (a)$ ?