3742 Express f as a composition of two functions; that is, find g and h such that f =

Chapter 0, Problem 41

(choose chapter or problem)

Express $f$ as a composition of two functions; that is, find $g$ and $h$ such that $f=g \circ h$. [Note: Each exercise has more than one solution.]

(a) $f(x)=\left(1+\sin \left(x^{2}\right)\right)^{3}$ (b) $f(x)=\sqrt{1-\sqrt[3]{x}}$

Equation Transcription:

$f$

$g$

$h$

$f\ =\ g\ \circ{}\ h$

$f(x)\ =\ (1\ +\ sin({x}^{2}){)}^{3}$

$f(x)\ =\ \sqrt{1\ -\sqrt[3]{x}}\$

Text Transcription:

f = g circ h

f(x) = (1+sin (x^{2}))^3

f(x) = sqrt{1 - sqrt[3]{x}}

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