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

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

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

domain

f (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) = ln (1 + t)

x + 2 + 1

f (x) = \frac{1}{- 5 ( \frac{1}{- x + 1} ) + 8}

(2 x^{2} + 1)^{3} (x^{2} - 1)^{2}

f (x) = \frac{( 2 x - 1 )}{2 x + 7}

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