What is the domain of y=log_{10}(x-2)-1/(sqrt(x+2)) ?

The domain of y=log_{10}(x-2)-1/(sqrt(x+2)) is x>2

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domain of y=log_{10}(x-2)-1/(sqrt(x+2))

domain

x > 2

Interval Notation

(2, \infty)

Solution steps

Find non-negative values for radicals:

x \geq - 2

Find positive values for logs:

x > 2

Find undefined (singularity) points:

x = - 2

Combine real regions and undefined points for final function domain

x > 2

What is the domain of y=log_{10}(x-2)-1/(sqrt(x+2)) ?
The domain of y=log_{10}(x-2)-1/(sqrt(x+2)) is x>2