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

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

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

domain

f (x) = x \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 (x) = x^{2} + 5

f (x) = 3^{x} + 1

x^{4} - 8 x^{2}

f (x) = \frac{( 5 )}{x ^{2} + 25}

(4, 1), (7, 4)

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