What is the domain of f(x)=(5x)/(27-x^3) ?

The domain of f(x)=(5x)/(27-x^3) is x 3

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domain of f(x)=(5x)/(27-x^3)

domain

f (x) = \frac{5 x}{27 - 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) = 4 x^{2} + 5 x - 1

f (x) = t^{4} - 24 t^{3} + 154 t^{2}

\frac{7}{x ^{2} + 1}

f (x) = \frac{4 x + 9}{3 x - 6}

y = x + 7

What is the domain of f(x)=(5x)/(27-x^3) ?
The domain of f(x)=(5x)/(27-x^3) is x<3\lor x>3