What is the domain of f(x)=sqrt(ln(x^2-2x-2)) ?

The domain of f(x)=sqrt(ln(x^2-2x-2)) is x = 3

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domain of f(x)=sqrt(ln(x^2-2x-2))

domain

f (x) = ln (x^{2} - 2 x - 2)

x \leq - 1 or x \geq 3

Interval Notation

(- \infty, - 1] \cup [3, \infty)

Solution steps

Find non-negative values for radicals:

x \leq - 1 or x \geq 3

The function domain

x \leq - 1 or x \geq 3

What is the domain of f(x)=sqrt(ln(x^2-2x-2)) ?
The domain of f(x)=sqrt(ln(x^2-2x-2)) is x<=-1\lor x>= 3