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

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

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

domain

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

x \geq 3

Interval Notation

[3, \infty)

Solution steps

Find non-negative values for radicals:

x \geq 3

Find undefined (singularity) points:

x = 0

Combine real regions and undefined points for final function domain

x \geq 3

f (x) = 10 x + 700

f (x) = \frac{3 x + 5}{6 x + 5}

f (x) = ∣ 3 x + 4 ∣

y = 2^{x - 4} + 3

\frac{t}{t + 1}

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