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Math Help - f(g(x))

  1. #1
    Junior Member
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    f(g(x))

    For the following question, I was unable to match my answer for f(g(x)).

    f(x) = 2x - 3 g(x) = (1/5x)

    The steps that I have so far to solve for f(g(x)) are as follows:

    f((1/5x)) ---> 2(1/5x) - 3 ----> (2/5x) - 3

    But the right answer is (2 - 15x) / 5x.

    Would someone be kind enough to step me through this and show where I went wrong? Thanks!
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  2. #2
    MHF Contributor

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    Quote Originally Posted by Hapa View Post
    For the following question, I was unable to match my answer for f(g(x)).

    f(x) = 2x - 3 g(x) = (1/5x)

    The steps that I have so far to solve for f(g(x)) are as follows:

    f((1/5x)) ---> 2(1/5x) - 3 ----> (2/5x) - 3

    But the right answer is (2 - 15x) / 5x.
    \frac{2- 15x}{5x}= \frac{2}{5x}- \frac{15x}{5x}= \frac{2}{5}x- 3

    Those are both the same answer.

    Would someone be kind enough to step me through this and show where I went wrong? Thanks!
    You didn't go wrong!
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