How do you find the compositions given $f(x)=x^2$ and $g(x)=sqrtx$ ?

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Answer 1 · 2016-01-30T16:47:24

f(g(x)) = x and g(f(x)) = ± x

the composite function f(g(x)) = f $( sqrtx ) = (sqrtx)^2 = x$

the composite function g(f(x)) = g $( x^2 ) =sqrt(x^2) = ± x$

How do you find the compositions given f(x)=x^2f(x)=x^2 and g(x)=sqrtx g(x)=sqrtx ?