What is the domain of f(x)=ln(x^2-4)+pi,x<-2 ?

The domain of f(x)=ln(x^2-4)+pi,x<-2 is x<-2

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domain of f(x)=ln(x^2-4)+pi,x<-2

domain

f (x) = ln (x^{2} - 4) + π, x < - 2

x < - 2

Interval Notation

(- \infty, - 2)

Solution steps

Set the domain to the given interval

x < - 2

Find positive values for logs:

x < - 2 or x > 2

Join real regions with the domain:

(x < - 2 or x > 2) and x < - 2

x < - 2

What is the domain of f(x)=ln(x^2-4)+pi,x<-2 ?
The domain of f(x)=ln(x^2-4)+pi,x<-2 is x<-2