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Thread: Algebra Help

  1. #1 Algebra Help 
    Forum Professor marcusclayman's Avatar
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    Mar 2009
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    I just need a refresher I guess. I'm getting caught up with how to balance an equation with a variable exponent.

    This isn't homework, I'm studying for the CLEP exams, and am not asking for the answer, just a step by step aproach to how to solve this.

    f(x)=4x^2+5
    g(x)=2^x
    f(g(-1))=n

    Solve for n

    I start by deviding both the first equations by (x) ending up with

    f=4x+5
    g=(2^x)/x

    Can this be simplified any further? Is my math correct? How would I solve for x?


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  3. #2  
    Forum Ph.D. Heinsbergrelatz's Avatar
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    this seems to be a composite function problem, and i am guessing you know the definition of a composite function.

    i don't know why you are dividing it by x.

    see your notation of f(x) symbolizes a function, therefore you cant just divide x ,unless you are referring to f as a constant.

    anyhow, g(-1)=2^-1

    then you substitute this value in to the x-value for the function of f. so you get;

    n=4(2^-1)^2 +5


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