What is the domain of f(x)=\sqrt[4]{(5x)/(x^2-9)} ?

The domain of f(x)=\sqrt[4]{(5x)/(x^2-9)} is -3 3

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domain of f(x)=\sqrt[4]{(5x)/(x^2-9)}

domain

- 3 < x \leq 0 or x > 3

Interval Notation

(- 3, 0] \cup (3, \infty)

Solution steps

Find non-negative values for radicals:

- 3 < x \leq 0 or x > 3

Find undefined (singularity) points:

x = 3, x = - 3

Combine real regions and undefined points for final function domain

- 3 < x \leq 0 or x > 3

sin (\frac{x}{2})

6 x - 30

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

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

g (x) = \frac{x - 2}{x - 5}

What is the domain of f(x)=\sqrt[4]{(5x)/(x^2-9)} ?
The domain of f(x)=\sqrt[4]{(5x)/(x^2-9)} is -3<x<= 0\lor x>3