How do you find f(g(x)), f(f(x)), g(g(x)), g(f(x)) give $f(x) = x^2$ , $g(x) = ln(x)$ ?

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Answer 1 · 2016-10-31T05:43:40

The answers are $(lnx)^2, x^4, ln(lnx), 2lnx$

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

So $f(g(x))=f(lnx)=(lnx)^2$

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

$g(g(x))=g(lnx)=ln(lnx)$

$g(f(x))=g(x^2)=ln(x^2)=2lnx$

How do you find f(g(x)), f(f(x)), g(g(x)), g(f(x)) give f(x) = x^2f(x) = x^2, g(x) = ln(x)g(x) = ln(x)?