Question

Найти функцию, обратную данной

Answer 1

$f(y)=1-e^{frac{y^2}{2sigma^2}}\\e^{frac{y^2}{2sigma ^2}}=1-f(y)\\frac{y^2}{2sigma ^2}=ln(1-f(y))\\y^2=2sigma ^2cdot ln(1-f(y))\\y^2=sigma ^2cdot ln(1-f(y))^2; ,; ; oboznachim; ; z=f(y)\\y^2=sigma ^2cdot ln(1-z)^2\\Obratnaya; fynkciya:; ; z^2=sigma ^2cdot ln(1-y)^2$