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Math Help - Composite Function With Differing Bases?

  1. #1
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    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.
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  2. #2
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    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.
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