Functional Equation | Geendle

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In this video I solve a functional equation.
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[@qnicks23434]

What happens when x equal to 4, or 12, or 4/3? When a equals to 1?

[@ArtemKreimer]

The solution as presented needs to exclude the points at x=4, x=12, and x=4/3. But it also needs to separately include the cases for x=-2 and x=2, which are missing as is.

[@ArtemKreimer]

I guess a=-2 and a=2 happen at exactly points where x needs to be excluded anyway, so my second clause doesn't really matter.