function - Upside-down Gaussian distribution -

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i'm looking function upside-down function of gaussian. when x = 0, y should 0. on both sides (positive , negative) function should converge 1. can point me in right direction?

if want function, subtract gaussian distribution function 1. won't probability distribution function that, of course; such function must satisfy $\int_{-\infty}^{\infty} f(x)\,dx = 1$. (this wrong stack exchange site typing mathematics in tex.) function want won't integrable.


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