What is the inverse of e^{1-(x^2)/8} ?

The inverse of e^{1-(x^2)/8} is sqrt(-8ln(x)+8),-sqrt(-8ln(x)+8)

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inverse of e^{1-(x^2)/8}

inverse

e^{1 - \frac{x ^{2}}{8}}

- 8 ln (x) + 8, - - 8 ln (x) + 8

Solution steps

y = e^{1 - \frac{x ^{2}}{8}}

Replace

x

with

y

x = e^{1 - \frac{y ^{2}}{8}}

Solve for

y, x = e^{1 - \frac{y ^{2}}{8}}

- 8 ln (x) + 8, - - 8 ln (x) + 8

What is the inverse of e^{1-(x^2)/8} ?
The inverse of e^{1-(x^2)/8} is sqrt(-8ln(x)+8),-sqrt(-8ln(x)+8)