What is the domain of g(x)=sqrt(3x^2-81) ?

The domain of g(x)=sqrt(3x^2-81) is x = 3sqrt(3)

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domain of g(x)=sqrt(3x^2-81)

domain

g (x) = 3 x^{2} - 81

x \leq - 33 or x \geq 33

Interval Notation

(- \infty, - 33] \cup [33, \infty)

Solution steps

Find non-negative values for radicals:

x \leq - 33 or x \geq 33

The function domain

x \leq - 33 or x \geq 33

What is the domain of g(x)=sqrt(3x^2-81) ?
The domain of g(x)=sqrt(3x^2-81) is x<=-3sqrt(3)\lor x>= 3sqrt(3)