What is the domain of log_{10}((x+6)/(x^2-4)) ?

The domain of log_{10}((x+6)/(x^2-4)) is -6 2

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domain of log_{10}((x+6)/(x^2-4))

domain

lo g_{10} (\frac{x + 6}{x ^{2} - 4})

- 6 < x < - 2 or x > 2

Interval Notation

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

Solution steps

Find positive values for logs:

- 6 < x < - 2 or x > 2

Find undefined (singularity) points:

x = 2, x = - 2

Combine real regions and undefined points for final function domain

- 6 < x < - 2 or x > 2

6 + x - x^{2}

f (x) = lo g_{10} (- 3 x + 1)

y = x x^{2} - 2

\frac{5 - 2 x}{4 x - 2}

f (x) = 0 x - 285000

What is the domain of log_{10}((x+6)/(x^2-4)) ?
The domain of log_{10}((x+6)/(x^2-4)) is -6<x<-2\lor x>2