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Suppose $f (x ) = x^2 + 12$. If $m > 0$ and $f (3m) = 3(f (m))$, what is the value of $m$?

 

Suppose \(f (x ) = x^2 + 12\). If \(m > 0\) and \(f (3m) = 3(f (m))\), what is the value of \(m\)?

 Mar 10, 2019
 #1
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\((3m)^2 + 12 = 3(m^2 + 12)\\ 9m^2 + 12 = 3m^2 + 36\\ 6m^2-24=0\\ m^2 - 4 = 0\\ \text{I leave you to finish}\)

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 Mar 10, 2019

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