What is the domain of f(x)= 1/(sqrt(20-x)) ?

The domain of f(x)= 1/(sqrt(20-x)) is x<20

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domain of f(x)= 1/(sqrt(20-x))

domain

f (x) = \frac{1}{20 - x}

x < 20

Interval Notation

(- \infty, 20)

Solution steps

Find non-negative values for radicals:

x \leq 20

Find undefined (singularity) points:

x = 20

Combine real regions and undefined points for final function domain

x < 20

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

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

\frac{x}{x ^{2} + 14 x + 45}

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

17 x^{4} - 102 x^{2}

What is the domain of f(x)= 1/(sqrt(20-x)) ?
The domain of f(x)= 1/(sqrt(20-x)) is x<20