Crazy Mixup Thing

Algebra Level 1

Given the functions $h(x)=\sin x$ and $g(x)=e^{3x}$ and that $h(g(x))=f(x)$ , find the formula for $f(x)$ .

f(x)=e^{\sin 3x}

f(x)=\cos e^{3x}

f(x)=\sin e^{3x}

f(x)=\sin {3x^e}

f(x)=\cos {3x}^{e}