What is the domain of (x+2)*e^{1/x} ?

The domain of (x+2)*e^{1/x} is x 0

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domain of (x+2)*e^{1/x}

domain

(x + 2) \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

in v erse f (x) = (x - 3)^{3} + 1

in v erse f (x) = \frac{5 x - 3}{2 x + 5}

r an g e x^{2} + 3

d o main f (x) = 7 - x^{2}

d o main f (x) = \frac{9 x - 9}{2 x + 7}

What is the domain of (x+2)*e^{1/x} ?
The domain of (x+2)*e^{1/x} is x<0\lor x>0