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

The domain of f(x)=(sqrt(x+3))/(2x) is -3 0

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

domain

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

- 3 \leq x < 0 or x > 0

Interval Notation

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

- 3 \leq x < 0 or x > 0

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

f (x) = \frac{1 - 5 x}{x ^{2} + 4}

4 + ln (x)

lo g_{\frac{1}{3}} (\frac{x ^{2} - x - 6}{2}) + x + 1

f (x) = x + 9

What is the domain of f(x)=(sqrt(x+3))/(2x) ?
The domain of f(x)=(sqrt(x+3))/(2x) is -3<= x<0\lor x>0