What is the domain of y=(x^2)/(x-6) ?

The domain of y=(x^2)/(x-6) is x 6

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domain of y=(x^2)/(x-6)

domain

y = \frac{x ^{2}}{x - 6}

x < 6 or x > 6

Interval Notation

(- \infty, 6) \cup (6, \infty)

Solution steps

Find undefined (singularity) points:

x = 6

The function domain

x < 6 or x > 6

(x^{2} - 4 x - 5) - (x^{2} + 3 x + 2)

f (x) = 12 (x - 8) (x - 6)

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

f (x) = \frac{1}{9 x + 6}

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

What is the domain of y=(x^2)/(x-6) ?
The domain of y=(x^2)/(x-6) is x<6\lor x>6