What is the domain of 7/(sqrt(x+5)) ?

The domain of 7/(sqrt(x+5)) is x>-5

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domain of 7/(sqrt(x+5))

domain

\frac{7}{x + 5}

x > - 5

Interval Notation

(- 5, \infty)

Solution steps

Find non-negative values for radicals:

x \geq - 5

Find undefined (singularity) points:

x = - 5

Combine real regions and undefined points for final function domain

x > - 5

f (x) = x^{4} + 3 x^{3} - 10 x^{2}

\frac{4 x ^{2}}{x ^{2} + 4}

\frac{x ^{2} + 4 x + 4}{x ^{3} + 4 x ^{2}}

f (x) = \frac{4}{x + 1}

\frac{x ^{3} + 8}{x ^{2} - 8}