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

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

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

domain

f (x) = \frac{1}{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} + 3 x + 2}{x - 1}

(2, 4), (- 4, - 2)

f (x) = 0.25 x + 5.2

f (x) = x^{3} - 9 x

\frac{x ^{2} - 25}{- 2 x ^{2} + 9 x + 5}

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