For this function: $f(x)=x\exp(ax)$
what is the inverse function $f^{-1}(\cdot)$?
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1Did you prove this function has an inverse? – Bernard Jan 26 '19 at 23:45
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3$\dfrac{W(ax)}{a}$ where $W$ is the lambert $W$ function. It is a non-elementary function. – JMoravitz Jan 26 '19 at 23:46
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What do you mean by exp? Do you mean, ^? – Math Lover Jan 26 '19 at 23:47
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3@MathLover $\exp$ is a standard name for the natural exponential $x \mapsto e^x$. – Theo Bendit Jan 26 '19 at 23:48
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OK, thanks for letting me know. – Math Lover Jan 26 '19 at 23:49
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Then I agree with JMoravitz. – Math Lover Jan 26 '19 at 23:49