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

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

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

inverse

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

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

f (x) = 3^{\frac{- x + 5}{3}}

f (x) = 2 x^{2} + 5 x - 3

g (x) = \frac{x - 3}{( 5 x - 8 )}

\frac{3 s}{s ^{2} - s - 6}

8 - 2 x

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