What is the inverse of e^{-(x^2)/2} ?

The inverse of e^{-(x^2)/2} is 2^{1/2}(-ln(x))^{1/2},-2^{1/2}(-ln(x))^{1/2}

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inverse of e^{-(x^2)/2}

inverse

e^{- \frac{x ^{2}}{2}}

2^{\frac{1}{2}} (- ln (x))^{\frac{1}{2}}, - 2^{\frac{1}{2}} (- ln (x))^{\frac{1}{2}}

Solution steps

y = e^{- \frac{x ^{2}}{2}}

Replace

x

with

y

x = e^{- \frac{y ^{2}}{2}}

Solve for

y, x = e^{- \frac{y ^{2}}{2}}

2^{\frac{1}{2}} (- ln (x))^{\frac{1}{2}}, - 2^{\frac{1}{2}} (- ln (x))^{\frac{1}{2}}

What is the inverse of e^{-(x^2)/2} ?
The inverse of e^{-(x^2)/2} is 2^{1/2}(-ln(x))^{1/2},-2^{1/2}(-ln(x))^{1/2}