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

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

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

inverse

f (x) = e^{x^{2}}

ln (x), - ln (x)

Solution steps

y = e^{x^{2}}

Replace

x

with

y

x = e^{y^{2}}

Solve for

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

ln (x), - ln (x)

y = \frac{x}{x + 1}

y = 2 (x + 3) (x - 7)

X^{3}

f (x) = 3 - 2 x

3 + (8 + x)^{\frac{1}{2}}

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