What is the domain of f(x)=(x+3)/(2x) ?

The domain of f(x)=(x+3)/(2x) is x 0

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domain of f(x)=(x+3)/(2x)

domain

f (x) = \frac{x + 3}{2 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) = - 2 x^{2} + 4 x - 2

f (x) = 2 sin (x) + 1

f (x) = \frac{1}{3} x^{3} + 3 x^{2} - 27 x, - 15 < x < 9

f (x) = \frac{4 x + 6}{14 - 7 x}

f (x) = - 3 x^{2} + 3

What is the domain of f(x)=(x+3)/(2x) ?
The domain of f(x)=(x+3)/(2x) is x<0\lor x>0