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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 \(f(x)\).

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

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by Colin Carmody

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