How do you find $(g o f) (x)$ $(gof)(x)$ given $f (x) = 4 x + 3$ $f(x)=4x+3$ and $g (x) = x^{2}$ $g(x)=x^2$ ?

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Answer 1 · 2017-10-31T10:46:14

The answer is $= {(4 x + 3)}^{2}$ $=(4x+3)^2$

This is a composition of functions

$f (x) = 4 x + 3$ $f(x)=4x+3$

$g (x) = x^{2}$ $g(x)=x^2$

$(g o f) (x) = g (f (x)) = g (4 x + 3) = {(4 x + 3)}^{2}$ $(gof)(x)=g(f(x))=g(4x+3)=(4x+3)^2$

How do you find (gof)(x)(gof)(x) given f(x)=4x+3f(x)=4x+3 and g(x)=x2g(x)=x^2?