## Calculus, 10th Edition (Anton)

(a) $$g(x)=3 \sin x \qquad h(x)=x^2$$ (b) $$g(x)=3x^2+4x \qquad h(x)= \sin x$$
(a) By considering the functions $$g(x)=3 \sin x \qquad h(x)=x^2$$ we have $$f(x)=(g \circ h)(x)=g(h(x))=3 \sin (x^2).$$ (b) By considering the functions $$g(x)=3x^2+4x \qquad h(x)= \sin x$$ we have $$f(x)=(g \circ h)(x)=g(h(x))=3 \sin ^2 x + 4 \sin x.$$