What is the domain of f(x)=(x^2-3)/(x^3-27) ?

The domain of f(x)=(x^2-3)/(x^3-27) is x 3

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domain of f(x)=(x^2-3)/(x^3-27)

domain

f (x) = \frac{x ^{2} - 3}{x ^{3} - 27}

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, y) = \frac{x}{2} - \frac{6}{x}

\frac{4 x ^{2}}{x ^{2} - 9}

\frac{3 x + 12}{- 12 x + 4}

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

f (x) = x^{2} - 8 x + 14

What is the domain of f(x)=(x^2-3)/(x^3-27) ?
The domain of f(x)=(x^2-3)/(x^3-27) is x<3\lor x>3