What is the domain of f(x)=sqrt(x+4/x) ?

The domain of f(x)=sqrt(x+4/x) is x>0

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domain of f(x)=sqrt(x+4/x)

domain

f (x) = x + \frac{4}{x}

x > 0

Interval Notation

(0, \infty)

Solution steps

Find non-negative values for radicals:

x > 0

Find undefined (singularity) points:

x = 0

Combine real regions and undefined points for final function domain

x > 0

f (x) = \frac{x ^{2} + 12}{6}

f (x) = 5 x^{2} - 8 x - 44 ln (x - 1)

\frac{2 x ^{2} - 5}{x}

f (x) = \frac{2 x + 9}{x - 1}

f (x) = tan (5 x)