What is the domain of 3/(sqrt(x+2)) ?

The domain of 3/(sqrt(x+2)) is x>-2

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domain of 3/(sqrt(x+2))

domain

\frac{3}{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) = arcsin (\frac{x}{3})

y = t

f (x) = 2 x^{3} + x^{2} - 13 x + 6

y = \frac{x + 2}{x}

y = \frac{2 x ^{2}}{x ^{2} - 1}