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Math Help - Function

  1. #1
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    Function

    Let the function h be defined by h(x)=14+ \frac{x^2}{4}. If h(2m)=9m, what is one possible value of m?
    Last edited by fabxx; September 19th 2008 at 06:47 PM.
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  2. #2
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    Hello, fabxx!

    I assume that is an equal-sign in there . . .


    Let: . h(x)\:=\:14+ \frac{x^2}{4}.
    If h(2m) \:{\color{red}=}\:9m, what is one possible value of m?

    Since h(2m) \:=\:14 + \frac{(2m)^2}{4} \:=\:14 + m^2

    . . we have: . 14 + m^2 \:=\:9m \quad\Rightarrow\quad m^2 - 9m + 14 \:=\:0


    Factor:. . (m - 2)(m - 7) \:=\:0 \quad\Rightarrow\quad\boxed{ m \;=\;2,\;7}

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