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

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

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

domain

\frac{1}{1 + x}

x > - 1

Interval Notation

(- 1, \infty)

Solution steps

Find non-negative values for radicals:

x \geq - 1

Find undefined (singularity) points:

x = - 1

Combine real regions and undefined points for final function domain

x > - 1

x^{2} y - 3 y - 9 x = 0

3 + e^{x}

(x - 2) (x^{2} - 4 x - 8)

- \frac{5}{7} x - 1

\frac{1 + x}{2 x}