What is the inverse of f(x)=e^{-((x^2)/4)} ?

The inverse of f(x)=e^{-((x^2)/4)} is 2sqrt(-ln(x)),-2sqrt(-ln(x))

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inverse of f(x)=e^{-((x^2)/4)}

inverse

f (x) = e^{- (\frac{x ^{2}}{4})}

2 - ln (x), - 2 - ln (x)

Solution steps

y = e^{- \frac{x ^{2}}{4}}

Replace

x

with

y

x = e^{- \frac{y ^{2}}{4}}

Solve for

y, x = e^{- \frac{y ^{2}}{4}}

2 - ln (x), - 2 - ln (x)

x^{2} - 11

x^{2} - 12

f (x) = \frac{2}{5} (25 x - 1) - 3 = \frac{1}{2} - 10 x

y = x^{2} - 4 x + 2

f (x) = x + 20

What is the inverse of f(x)=e^{-((x^2)/4)} ?
The inverse of f(x)=e^{-((x^2)/4)} is 2sqrt(-ln(x)),-2sqrt(-ln(x))