What is the domain of sqrt((7x+2x)/x) ?

The domain of sqrt((7x+2x)/x) is x 0

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domain of sqrt((7x+2x)/x)

domain

\frac{7 x + 2 x}{x}

x < 0 or x > 0

Interval Notation

(- \infty, 0) \cup (0, \infty)

Solution steps

Find non-negative values for radicals:

x < 0 or x > 0

Find undefined (singularity) points:

x = 0

Combine real regions and undefined points for final function domain

x < 0 or x > 0

f (x) = 4 + x + x^{2} - x^{3}

4 x + 5

f (x) = 3 x^{2} + x - 2

f (x) = 2 x + 1

What is the domain of sqrt((7x+2x)/x) ?
The domain of sqrt((7x+2x)/x) is x<0\lor x>0