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Let  \(f(x)=3x+2\)and \(g(x)=ax+b\), for some constants \(a\) and \(b\). If \(ab=20\) and  \(f(g(x))=g(f(x))\)for \(x=0,1,2\ldots 9\), find the sum of all possible values of \(a\).

 Aug 16, 2021
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The sum of all possible values of a is 10.

 Oct 17, 2021

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