What is the domain of f(x)=(5x)/(sqrt(3x^2-12)) ?

The domain of f(x)=(5x)/(sqrt(3x^2-12)) is x 2

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domain of f(x)=(5x)/(sqrt(3x^2-12))

domain

f (x) = \frac{5 x}{3 x ^{2} - 12}

x < - 2 or x > 2

Interval Notation

(- \infty, - 2) \cup (2, \infty)

Solution steps

Find non-negative values for radicals:

x \leq - 2 or x \geq 2

Find undefined (singularity) points:

x = 2, x = - 2

Combine real regions and undefined points for final function domain

x < - 2 or x > 2

What is the domain of f(x)=(5x)/(sqrt(3x^2-12)) ?
The domain of f(x)=(5x)/(sqrt(3x^2-12)) is x<-2\lor x>2