What is the domain of f(x)= 4/(sqrt(3-x)) ?

The domain of f(x)= 4/(sqrt(3-x)) is x<3

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domain of f(x)= 4/(sqrt(3-x))

domain

f (x) = \frac{4}{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

- x^{2} + 1

f (x) = 1 - 7^{x}

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

y = \frac{3 x + 4}{x ^{2} + 7 x + 12}

4 tan (2 x + \frac{π}{3}) - 1

What is the domain of f(x)= 4/(sqrt(3-x)) ?
The domain of f(x)= 4/(sqrt(3-x)) is x<3