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

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

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

domain

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

\frac{1}{2} (x - 2)^{2} - 3

3 x^{5} + 5 x^{3} - 2 x

(0, 1), (4.5, 2)

x^{2} ln (\frac{x}{6})

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