How do you find $(g o f) (x)$ $(gof)(x)$ given $f (x) = 6 x^{2}$ $f(x)=6x^2$ and $g (x) = 14 x + 4$ $g(x)=14x+4$ ?

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Answer 1 · 2016-08-27T18:16:27

$g o f (x) = 84 x^{2} + 4$ $gof(x)=84x^2+4$ .

Let $y = f (x) = 6 x^{2}$ $y=f(x)=6x^2$ . Then, $g o f (x) = g (f (x)) = g (y) = 14 y + 4$ $gof(x)=g(f(x))=g(y)=14y+4$

$= 14 (6 x^{2}) + 4 = 84 x^{2} + 4$ $=14(6x^2)+4=84x^2+4$

How do you find (gof)(x)(gof)(x) given f(x)=6x2f(x)=6x^2 and g(x)=14x+4g(x)=14x+4?