What is the domain of y=(sqrt(x^2-4))/(x^2-2x) ?

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

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domain of y=(sqrt(x^2-4))/(x^2-2x)

domain

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

x \leq - 2 or x > 2

Interval Notation

Solution steps

Find non-negative values for radicals:

x \leq - 2 or x \geq 2

Find undefined (singularity) points:

x = 2, x = 0

Combine real regions and undefined points for final function domain

x \leq - 2 or x > 2

(x - 1)^{2} + 2

y = 1 + sin (2 x)

f (x) = (1 - \frac{3}{x})^{\frac{1}{1 - x}}

2 - lo g_{\frac{1}{3}} (x - 1)

- x^{2} ln (x)

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