How do you find the function compositions given $f (x) = x^{2}$ $f(x)= x^2$ , $g (x) = 5 x$ $g(x)= 5x$ ?

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Answer 1 · 2015-12-06T23:09:10

It depends, you can compose both $(f (g (x))$ $(f(g(x))$ and $g (f (x))$ $g(f(x))$ .

In the first case,

$f (g (x)) = f (5 x) = {(5 x)}^{2} = 25 x^{2}$ $f(g(x)) = f(5x)=(5x)^2=25x^2$

In the second case,

$g (f (x)) = g (x^{2}) = 5 x^{2}$ $g(f(x))=g(x^2)=5x^2$

How do you find the function compositions given f(x)=x2 f(x)= x^2, g(x)=5xg(x)= 5x?