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Math Help - combining functions

  1. #1
    Newbie allywallyrus's Avatar
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    combining functions

    f(x)=3^x g(x)=x+2 h(x)=2x-3 which i need to arrange to get y=\frac{1}{27}*3^{2x}+2
    i can get the last part of the equation when i do g*f(x+3)*h(x) but not sure where the fraction comes from
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  2. #2
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    Quote Originally Posted by allywallyrus View Post
    f(x)=3^x g(x)=x+2 h(x)=2x-3 which i need to arrange to get y=\frac{1}{27}*3^{2x}+2
    i can get the last part of the equation when i do g*f(x+3)*h(x) but not sure where the fraction comes from
    Hi

    3^{2x-3} = \frac{3^{2x}}{3^3} = \frac{3^{2x}}{27}
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  3. #3
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    Just note that 3^{-3}=\frac{1}{27} and f \circ g(x) = 3^{2x - 3} .
    You finish in one more step.
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  4. #4
    Newbie allywallyrus's Avatar
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    oh wow i hadnt even thought of that
    thanks
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