What is the domain of f(x)=(x^2-1)/(x-3) ?

The domain of f(x)=(x^2-1)/(x-3) is x 3

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domain of f(x)=(x^2-1)/(x-3)

domain

f (x) = \frac{x ^{2} - 1}{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) = \frac{2 x + 3}{x - 1}

f (x) = x^{7} - 1

\frac{6 x}{x ^{2} + 2}

f (x) = \frac{3}{x ^{2} - 16}

f (x) = 7 - x

What is the domain of f(x)=(x^2-1)/(x-3) ?
The domain of f(x)=(x^2-1)/(x-3) is x<3\lor x>3