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

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

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

domain

f (x) = \frac{x - 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

arcsin (\frac{x}{x - 1})

\frac{( x - 1 )}{x ^{2} ( x - 2 )}

x^{2} \cdot ln (x)

f (x) = \frac{x - 12}{2 ( x - 6 ) x - 6}

f (x) = 12 x^{2} - 7 x + 1

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