What is the inverse of e^{-12x^2} ?

The inverse of e^{-12x^2} is sqrt(-(ln(x))/(12)),-sqrt(-(ln(x))/(12))

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inverse of e^{-12x^2}

inverse

e^{- 12 x^{2}}

- \frac{ln ( x )}{12}, - - \frac{ln ( x )}{12}

Solution steps

y = e^{- 12 x^{2}}

Replace

x

with

y

x = e^{- 12 y^{2}}

Solve for

y, x = e^{- 12 y^{2}}

- \frac{ln ( x )}{12}, - - \frac{ln ( x )}{12}

What is the inverse of e^{-12x^2} ?
The inverse of e^{-12x^2} is sqrt(-(ln(x))/(12)),-sqrt(-(ln(x))/(12))