What is the domain of f(x)= 1/2 x-6/x ?

The domain of f(x)= 1/2 x-6/x is x 0

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domain of f(x)= 1/2 x-6/x

domain

f (x) = \frac{1}{2} x - \frac{6}{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) = 4 + 2 x - 3

\frac{x + 6}{2}

x^{2} - 16

f (x) = \frac{5 x}{x - 2}

What is the domain of f(x)= 1/2 x-6/x ?
The domain of f(x)= 1/2 x-6/x is x<0\lor x>0