How do you determine $f(g(x))$ and $g(g(x))$ , given $f(x)=absx$ and $g(x)=x^2$ ?

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Answer 1 · 2017-09-11T05:01:48

$f(g(x))=x^2$ and and $g(g(x))=x^4$

As $f(x)=|x|$ and $g(x)=x^2$

$f(g(x))=|g(x)|=|x^2|=x^2$

and $g(g(x))=(g(x))^2=(x^2)^2=x^4$

How do you determine f(g(x))f(g(x)) and g(g(x))g(g(x)), given f(x)=absxf(x)=absx and g(x)=x^2g(x)=x^2?