I would like to find an inverse for:
$Y=1-\frac{1}3(2e^{-X}+e^{-5X})$
I have tried a change of variable $Z=e^{-X}$ but I get to a equation that I cannot solve either.
2026-03-30 15:44:23.1774885463
How to find an Inverse for $Y=1-\frac{1}3(2e^{-X}+e^{-5X})$
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the only idea I have is multiplying by $e^x$ then we have $$-3(y-1)e^x=2+e^{-4x}$$ and multiplying by $$e^{4x}$$ we get $$-3(y-1)e^{5x}=2e^{4x}+1$$ let $t=e^x$ then we have $$-3(y-1)t^5=2t^4+1$$