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

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

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

inverse

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

1 + ln (x) + 1, 1 - ln (x) + 1

Solution steps

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

Replace

x

with

y

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

Solve for

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

1 + ln (x) + 1, 1 - ln (x) + 1

f (x) = 1 0^{x} + 8

f (x) = (- ln (x))^{a}

f (x) = \frac{x + 9}{x - 3}

f (x) = 3 x^{2} + 4 x + 7

f (x) = 3 n - 15

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