What is the domain of f(x)= 3/(sqrt(3-x)) ?

The domain of f(x)= 3/(sqrt(3-x)) is x<3

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domain of f(x)= 3/(sqrt(3-x))

domain

f (x) = \frac{3}{3 - x}

x < 3

Interval Notation

(- \infty, 3)

Solution steps

Find non-negative values for radicals:

x \leq 3

Find undefined (singularity) points:

x = 3

Combine real regions and undefined points for final function domain

x < 3

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

\frac{1}{2 x 2 + ln ( x )}

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

f (x) = \frac{5}{3 x - 8}

- \frac{2}{3} (x - 4) - 2

What is the domain of f(x)= 3/(sqrt(3-x)) ?
The domain of f(x)= 3/(sqrt(3-x)) is x<3