# Composite Function With Differing Bases?

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• Sep 4th 2012, 08:14 AM
Biff
Composite Function With Differing Bases?
Problem:

If $f(x)=\tan(x)$ and $g(x)=3_x 2$, then $\left(g \circ f \right)\left(\frac{\pi}{6}\right) =$

• 1
• $3 \left(\frac{\pi}{6}\right)^2$
• $\tan \left(\left(\frac{\pi}{6}\right)^2\right)$
• 1.077
• None of the Above

I realize that the composite function will look something like this:

$\left(g \circ f \right)\left(\frac{\pi}{6}\right) = 3_{\tan \left(\frac{\pi}{6}\right)} 2$

But the subscript $x$ throws me off; would someone please explain how that works?

Thanks in advance.
• Sep 4th 2012, 08:30 AM
Biff
Re: Composite Function With Differing Bases?
Oh, nevermind. It turns out that the math rendering obfuscated the meaning of $g(x)$. Instead, it is: $g(x) = 3x^2$.

The answer is 1.