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Math Help - Exponential Question

  1. #1
    dag
    dag is offline
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    Exponential Question

    I am not positive this is the correct spot for this question ( it is an Algebra question but it was not given in the context of an Algebra class. I am currently working my way through Michael Spivak's book "Calculus"). Here is the question:

    <br /> <br />
x + 3^x<4<br />

    Now just by looking at it, I can see that the answer has to be x<1 but I don't see how I could show that mathematically. Any insights would be appreciated.

    Dag
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  2. #2
    MHF Contributor
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    Hi

    f(x) = x + 3^x is an increasing function and f(1)=4 therefore for all x<1 f(x)<4
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