What is the domain of g(x)=sqrt(x^2-4x) ?

The domain of g(x)=sqrt(x^2-4x) is x = 4

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domain of g(x)=sqrt(x^2-4x)

domain

g (x) = x^{2} - 4 x

x \leq 0 or x \geq 4

Interval Notation

(- \infty, 0] \cup [4, \infty)

Solution steps

Find non-negative values for radicals:

x \leq 0 or x \geq 4

The function domain

x \leq 0 or x \geq 4

What is the domain of g(x)=sqrt(x^2-4x) ?
The domain of g(x)=sqrt(x^2-4x) is x<= 0\lor x>= 4