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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 $a$.

 Apr 19, 2021
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The sum of all possible values of a is  2 + 3 + 4 + 5 = 14.

 Apr 19, 2021

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