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Math Help - [SOLVED] composite functions

  1. #1
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    [SOLVED] composite functions

    I'd just like some verification that I did this right. The answer I got is a bit bizarre, but I'm not seeing any issues in my math.

    the equation is
    g(x) = \frac{x}{x^2+5}

    the composite I'm supposed to solve is
    g \circ g(3)

    so I plug 3 into the function and get \frac{3}{14}
    then plug that back in and get
    \frac{42}{989}

    I think I'm doing the math right, but that's not typically the kind of answer you'll find when solving problem for class, so I just wanted some verification I hadn't gone off kilter somewhere.

    *edited* made a mistake, recalculated, adjusted the above to reflect what I think is correct math
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  2. #2
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    Quote Originally Posted by satis View Post
    I'd just like some verification that I did this right. The answer I got is a bit bizarre, but I'm not seeing any issues in my math.

    the equation is
    g(x) = \frac{x}{x^2+5}

    the composite I'm supposed to solve is
    g \circ g(3)

    so I plug 3 into the function and get \frac{3}{14}
    then plug that back in and get
    \frac{42}{989}

    I think I'm doing the math right, but that's not typically the kind of answer you'll find when solving problem for class, so I just wanted some verification I hadn't gone off kilter somewhere.

    *edited* made a mistake, recalculated, adjusted the above to reflect what I think is correct math

    g[g(3)] = \frac{42}{989} is correct.
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  3. #3
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    awesome, thanks for the verification
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