What is the domain of-1/(sqrt(x+2)) ?

The domain of-1/(sqrt(x+2)) is x>-2

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domain of-1/(sqrt(x+2))

domain

- \frac{1}{x + 2}

x > - 2

Interval Notation

(- 2, \infty)

Solution steps

Find non-negative values for radicals:

x \geq - 2

Find undefined (singularity) points:

x = - 2

Combine real regions and undefined points for final function domain

x > - 2

f (x) = 3 lo g_{10} (- x) + 2

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

f (y) = \frac{1}{x ^{2}}

f (x) = \frac{x ^{2} + 2 x + 1}{x ^{2} - x}