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

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

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

domain

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

\frac{3 x + 4}{2 x - 1}

f (x) = \frac{x ^{2} - 2 x}{x ^{4} - 16}

ln (3 x)

y = x^{3} = - 7 x^{2} - 24 x + 9

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