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

The domain of f(x)= x/(x^2-[x]) is x 1

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

domain

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

x < 0 or 0 < x < 1 or x > 1

Interval Notation

(- \infty, 0) \cup (0, 1) \cup (1, \infty)

Solution steps

Find undefined (singularity) points:

x = 1, x = 0

The function domain

x < 0 or 0 < x < 1 or x > 1

12 x + 7

f (x) = lo g_{10} (\frac{3}{( x - 3 )})

\frac{6}{[ \frac{1}{3} ( x + ∣ x ∣ ) ]}

\frac{3 x + ∣ x ∣}{x}

f (x) = \frac{\frac{5}{x + 8}}{\frac{9}{x}}

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