What is the domain of f(x)=(x^2)/(x-3) ?

The domain of f(x)=(x^2)/(x-3) is x 3

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domain of f(x)=(x^2)/(x-3)

domain

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

x < 3 or x > 3

Interval Notation

(- \infty, 3) \cup (3, \infty)

Solution steps

Find undefined (singularity) points:

x = 3

The function domain

x < 3 or x > 3

y = 4 - x^{2}

f (x) = \frac{1}{2} x + 2

f (x) = 3 x^{2} - x - 2

f (x) = x^{2} - 5 x + 6

What is the domain of f(x)=(x^2)/(x-3) ?
The domain of f(x)=(x^2)/(x-3) is x<3\lor x>3