What is the domain of y= 1/(sqrt(11+x)) ?

The domain of y= 1/(sqrt(11+x)) is x>-11

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domain of y= 1/(sqrt(11+x))

domain

y = \frac{1}{11 + x}

x > - 11

Interval Notation

(- 11, \infty)

Solution steps

Find non-negative values for radicals:

x \geq - 11

Find undefined (singularity) points:

x = - 11

Combine real regions and undefined points for final function domain

x > - 11

f (x) = x + \frac{3}{x}

f (x) = - 14 + 7 x + 18

f (x) = \frac{5 - x}{x + 1}

\frac{3 x - 2}{x ^{3} - 9 x}

∣ x ∣ + ∣ x - 1 ∣

What is the domain of y= 1/(sqrt(11+x)) ?
The domain of y= 1/(sqrt(11+x)) is x>-11