What is the domain of sqrt(x-4/x) ?

The domain of sqrt(x-4/x) is -2 = 2

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domain of sqrt(x-4/x)

domain

x - \frac{4}{x}

- 2 \leq x < 0 or x \geq 2

Interval Notation

[- 2, 0) \cup [2, \infty)

Solution steps

Find non-negative values for radicals:

- 2 \leq x < 0 or x \geq 2

Find undefined (singularity) points:

x = 0

Combine real regions and undefined points for final function domain

- 2 \leq x < 0 or x \geq 2

f (x) = lo g_{5} (3 x^{2} - 5 x + 2)

f (x) = x + a

- 5 x - 10

y = \frac{x - 5}{x ^{2} - 4 x}

5 - 3 x

What is the domain of sqrt(x-4/x) ?
The domain of sqrt(x-4/x) is -2<= x<0\lor x>= 2