Kinsley Moon

2022-01-21

How do you write $j\left(x\right)={\mathrm{sin}}^{2}\left(x\right)$ as a composition of two or more functions?

ma90t66690

Expert

Let $f\left(x\right)=\mathrm{sin}x$ and $g\left(x\right)={x}^{2}$
Then $j\left(x\right)=\left(g\circ f\right)\left(x\right)=g\left[f\left(x\right)\right]=g\left(\mathrm{sin}x\right)={\mathrm{sin}}^{2}x$

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