What is the domain of f(x)=-1/(2sqrt(3-x)) ?

The domain of f(x)=-1/(2sqrt(3-x)) is x<3

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domain of f(x)=-1/(2sqrt(3-x))

domain

f (x) = - \frac{1}{2 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) = \frac{5 x + 25}{2 x + 10}

4 x - y = 3

(2, 9), (7, 8)

y = x^{4} + 2 x^{3} - 2 x^{2} + 1

m = 16, (- 1, - \frac{9}{2})

What is the domain of f(x)=-1/(2sqrt(3-x)) ?
The domain of f(x)=-1/(2sqrt(3-x)) is x<3