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

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

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

domain

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

x < 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

x^{2} - x - 2

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

1 - 3 x

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

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

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