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Math Help - Need help solving this problem. (Inverse Functions)

  1. #1
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    Need help solving this problem. (Inverse Functions)

    Can anyone show me how to solve this?
    g(x) = 10x^9 + 5x^3



    10(g^-1(11))^9 + 5(g^-1(11))^3-9
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  2. #2
    MHF Contributor Siron's Avatar
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    Re: Need help solving this problem. (Inverse Functions)

    What do you have to solve? (I can't see anything, maybe I'm the only one)
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    Re: Need help solving this problem. (Inverse Functions)

    i posted a screenshot of the problem but i guess it didnt work. i wrote it out above
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    Re: Need help solving this problem. (Inverse Functions)

    Quote Originally Posted by bseymore View Post
    Can anyone show me how to solve this?
    g(x) = 10x^9 + 5x^3

    10(g^-1(11))^9 + 5(g^-1(11))^3-9
    g(x) = 10x^9 + 5x^3

    let a be the real value such that g(a) = 11

    since g(a) = 11 , g^{-1}(11) = a

    10a^9 + 5a^3 - 9 = g(a) - 9 = 11 - 9 = 2
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  5. #5
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    Re: Need help solving this problem. (Inverse Functions)

    Quote Originally Posted by bseymore View Post
    Can anyone show me how to solve this?
    g(x) = 10x^9 + 5x^3



    10(g^-1(11))^9 + 5(g^-1(11))^3-9
    For any (invertible) function g, g(g^{-1}(x))= x

    Note that 10x^9+ 5x^3- 9= g(x)- 9.
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  6. #6
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    Re: Need help solving this problem. (Inverse Functions)

    thanks guys! I understand it now
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