What is the domain of f(x)= x/(2x-[x]) ?

The domain of f(x)= x/(2x-[x]) is x 0

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domain of f(x)= x/(2x-[x])

domain

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

x^{2} - x - 6

- (x + 2)^{5} (x - 4)^{4}

b^{x}

y = (x + 2)^{\frac{1}{4}}

f (x) = arccos (ln (3 x))

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