What is the domain of f(x)=(x^2-4)/(x-3) ?

The domain of f(x)=(x^2-4)/(x-3) is x 3

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domain of f(x)=(x^2-4)/(x-3)

domain

f (x) = \frac{x ^{2} - 4}{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

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

f (x) = \frac{x ^{2} - 4 x + 4}{x ^{3} - 5 x ^{2}}

f (x) = 2 cos (π x - 4) + 2

\frac{1}{2} x^{4} - x^{3} - 36 x^{2} + 108 x + 80

(1, - 1), (8, 7)

What is the domain of f(x)=(x^2-4)/(x-3) ?
The domain of f(x)=(x^2-4)/(x-3) is x<3\lor x>3