What is the domain of f(x)=(x-1)*e^{-1/x} ?

The domain of f(x)=(x-1)*e^{-1/x} is x 0

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domain of f(x)=(x-1)*e^{-1/x}

domain

f (x) = (x - 1) \cdot e^{- \frac{1}{x}}

x < 0 or x > 0

Interval Notation

(- \infty, 0) \cup (0, \infty)

Solution steps

Find undefined (singularity) points:

x = 0

The function domain

x < 0 or x > 0

f (t) = 2 t + t^{2}

f (x) = 4 x + 12 + \frac{1}{x + 2}

f (x) = 3 (x - 4)^{2} - 8

\frac{x ^{2} - 4}{x ^{2} + 4}

f (x) = - 5 + 8 x - x^{2}

What is the domain of f(x)=(x-1)*e^{-1/x} ?
The domain of f(x)=(x-1)*e^{-1/x} is x<0\lor x>0