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Math Help - Distributive Property?

  1. #1
    Newbie
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    Australia
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    Distributive Property?

    Hi All,

    I am teaching my self algebra using khan academy and Ive come across a problem I cant figure out. I am trying to solve composite functions and I cant figure out why a Plus sign is added to the equation, Could I be missing something that I am suppose to distrubute?

    The functions is:

    g(f(−1))=?


    h(x)=4x+2

    g(n)=n^3+2n^2−7n+5+f(n)

    f(t)=3t−h(t)

    f(−1)=−1

    g(−1)=(−1)^3+2(−1)^2 + (−7)(−1)+5+f(−1)

    where does this............Δ Plus sign come from?
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  2. #2
    Super Member
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    Re: Distributive Property?

    You have done right, have confidence in yourself. Just to repeat
    f(t)=3t-h(t)= 3t - (4t+2) So f(-1) = 3(-1) - ( -4 + 2 ) = -3 + 2 = -1
    g(n)=n^3+2n^2−7n+5+f(n)
    So g(f(-1))=g(-1) = (-1)^3+2(-1)^2−7(-1)+5+f(-1)
    = -1 +2+7+5-1 = 12
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  3. #3
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    Re: Distributive Property?

    Ok I understand now, Thank you
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