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

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

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Answer 1 · 2016-01-30T16:47:24

f(g(x)) = x and g(f(x)) = ± x

Explanation:

the composite function f(g(x)) = f $(\sqrt{x}) = {(\sqrt{x})}^{2} = x$ $( sqrtx ) = (sqrtx)^2 = x$

the composite function g(f(x)) = g $(x^{2}) = \sqrt{x^{2}} = \pm x$ $( x^2 ) =sqrt(x^2) = ± x$

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

1 Answer

Explanation:

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How do you find the compositions given f(x)=x2f(x)=x^2 and g(x)=√xg(x)=sqrtx ?

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