What is the domain of (-1)/(2sqrt(5-x)) ?

The domain of (-1)/(2sqrt(5-x)) is x<5

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domain of (-1)/(2sqrt(5-x))

domain

\frac{- 1}{2 5 - x}

x < 5

Interval Notation

(- \infty, 5)

Solution steps

Find non-negative values for radicals:

x \leq 5

Find undefined (singularity) points:

x = 5

Combine real regions and undefined points for final function domain

x < 5

f (x) = 1 - \frac{9}{x ^{2}}

f (x) = \frac{x - 7}{x ^{2} + 14 x + 49}

f (x) = x^{4} - 4 x^{3} + \frac{14}{3} x^{2} - \frac{9}{7} x + 2

f (x) = \frac{x - 5}{x + 7}

f (x) = \frac{x - 4}{x ^{2} - 5 x + 6}

What is the domain of (-1)/(2sqrt(5-x)) ?
The domain of (-1)/(2sqrt(5-x)) is x<5