What is the inverse of e^{-(x+3)^2} ?

The inverse of e^{-(x+3)^2} is sqrt(-ln(x))-3,-sqrt(-ln(x))-3

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inverse of e^{-(x+3)^2}

inverse

e^{- (x + 3)^{2}}

- ln (x) - 3, - - ln (x) - 3

Solution steps

y = e^{- (x + 3)^{2}}

Replace

x

with

y

x = e^{- (y + 3)^{2}}

Solve for

y, x = e^{- (y + 3)^{2}}

- ln (x) - 3, - - ln (x) - 3

y = - - x

f (x) = 16 x^{4} - 36

f (x) = \frac{2 y + 1}{3 y - 2}

f (x) = \frac{15 x}{4 x + 1}

y = \frac{2 + ln ( 4 x + 3 )}{5}

What is the inverse of e^{-(x+3)^2} ?
The inverse of e^{-(x+3)^2} is sqrt(-ln(x))-3,-sqrt(-ln(x))-3