What is the domain of log_{1/3}((x^2-x-6)/2)+x+1 ?

The domain of log_{1/3}((x^2-x-6)/2)+x+1 is x 3

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domain of log_{1/3}((x^2-x-6)/2)+x+1

domain

lo g_{\frac{1}{3}} (\frac{x ^{2} - x - 6}{2}) + x + 1

x < - 2 or x > 3

Interval Notation

(- \infty, - 2) \cup (3, \infty)

Solution steps

Find positive values for logs:

x < - 2 or x > 3

The function domain

x < - 2 or x > 3

What is the domain of log_{1/3}((x^2-x-6)/2)+x+1 ?
The domain of log_{1/3}((x^2-x-6)/2)+x+1 is x<-2\lor x>3