What is the domain of f(x)=(x^2-x-6)/(x-3) ?

The domain of f(x)=(x^2-x-6)/(x-3) is x 3

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domain of f(x)=(x^2-x-6)/(x-3)

domain

f (x) = \frac{x ^{2} - x - 6}{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 )}{5 x - 7}

f (x) = ln (2 x - 1)

y = 0

f (x) = ln (3 - x - 1)

f (x) = x^{\frac{4}{3}} - 2 x^{\frac{1}{3}}

What is the domain of f(x)=(x^2-x-6)/(x-3) ?
The domain of f(x)=(x^2-x-6)/(x-3) is x<3\lor x>3