What is $y = f (g (x))$ $y=f(g(x))$ if $f (x) = x^{4}$ $f(x)=x^4$ and $g (x) = \sqrt{x}$ $g(x)=sqrtx$ ?

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Answer 1 · 2017-01-29T06:54:56

The answer is $= x^{2}$ $=x^2$

This is a composition of fnctions

$f (x) = x^{4}$ $f(x)=x^4$

$g (x) = \sqrt{x}$ $g(x)=sqrtx$

$y = f (g (x)) = f (\sqrt{x}) = {(\sqrt{x})}^{4} = x^{2}$ $y=f(g(x))=f(sqrtx)=(sqrtx)^4=x^2$

What is y=f(g(x))y=f(g(x)) if f(x)=x4f(x)=x^4 and g(x)=√xg(x)=sqrtx?