How do you find $(f o g) (x)$ $(fog)(x)$ 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 · 2017-01-29T20:57:34

The answer is $= 6 {(14 x + 4)}^{2}$ $=6(14x+4)^2$

This is a composition of functions

$f (x) = 6 x^{2}$ $f(x)=6x^2$

$g (x) = 14 x + 4$ $g(x)=14x+4$

$(f o g) (x) = f (g (x)) = f (14 x + 4)$ $(fog)(x)=f(g(x))=f(14x+4)$

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

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