What is the domain of f(x)=x+ln(x^2-3) ?

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

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domain of f(x)=x+ln(x^2-3)

domain

f (x) = x + ln (x^{2} - 3)

x < - 3 or x > 3

Interval Notation

(- \infty, - 3) \cup (3, \infty)

Solution steps

Find positive values for logs:

x < - 3 or x > 3

The function domain

x < - 3 or x > 3

f (x) = e^{x^{2} - 3}

5 x

f (x) = x^{2} + 9, x \geq 0

f (x) = x 8 - x^{2}

e^{x^{2} - 3}

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