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

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

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domain of f(x)=ln(sqrt(x^2-4)-2)

domain

f (x) = ln (x^{2} - 4 - 2)

x < - 22 or x > 22

Interval Notation

(- \infty, - 22) \cup (22, \infty)

Solution steps

Find positive values for logs:

x < - 22 or x > 22

The function domain

x < - 22 or x > 22

f (x) = \frac{1}{- x ^{2} + x}

f (x) = - 8 x + 40

f (x) = 3 - 2 x + 1 - x

- 2 x + 4

\frac{1}{x - 2} x + 4

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