What is the inverse of f(x)=36x^2e^{-12} ?

The inverse of f(x)=36x^2e^{-12} is (e^6sqrt(x))/6 ,-(e^6sqrt(x))/6

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inverse of f(x)=36x^2e^{-12}

inverse

f (x) = 36 x^{2} e^{- 12}

\frac{e ^{6} x}{6}, - \frac{e ^{6} x}{6}

Solution steps

y = 36 x^{2} e^{- 12}

Replace

x

with

y

x = 36 y^{2} e^{- 12}

Solve for

y, x = 36 y^{2} e^{- 12}

\frac{e ^{6} x}{6}, - \frac{e ^{6} x}{6}

What is the inverse of f(x)=36x^2e^{-12} ?
The inverse of f(x)=36x^2e^{-12} is (e^6sqrt(x))/6 ,-(e^6sqrt(x))/6