What is the domain of (sqrt(x))(6/x) ?

The domain of (sqrt(x))(6/x) is x>0

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domain of (sqrt(x))(6/x)

domain

(x) (\frac{6}{x})

x > 0

Interval Notation

(0, \infty)

Solution steps

Find non-negative values for radicals:

x \geq 0

Find undefined (singularity) points:

x = 0

Combine real regions and undefined points for final function domain

x > 0

cr i t i c a l - sin (x) - \frac{1}{2}

in v erse f (x) = - e^{x - 1}

in v erse f (x) = 5 x + 8

a sy m pt o t es \frac{2 x + 5}{x - 3}

in v erse f (x) = \frac{x}{2 x + 7}