What is the domain of f(x)=xsin(1/x) ?

The domain of f(x)=xsin(1/x) is x 0

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domain of f(x)=xsin(1/x)

domain

f (x) = x sin (\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) = \frac{x}{x + 2}

f (x) = x - 7 + 8 - x

f (x) = 3 tan (2 x - \frac{π}{3})

f (x) = \frac{- x ^{3} - x + 5}{2 x ^{3} + 3 x ^{2} - 7}

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

What is the domain of f(x)=xsin(1/x) ?
The domain of f(x)=xsin(1/x) is x<0\lor x>0