What is the domain of f(x)=sqrt(1+1/x) ?

The domain of f(x)=sqrt(1+1/x) is x 0

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domain of f(x)=sqrt(1+1/x)

domain

f (x) = 1 + \frac{1}{x}

x \leq - 1 or x > 0

Interval Notation

(- \infty, - 1] \cup (0, \infty)

Solution steps

Find non-negative values for radicals:

x \leq - 1 or x > 0

Find undefined (singularity) points:

x = 0

Combine real regions and undefined points for final function domain

x \leq - 1 or x > 0

in t erce pt s f (x) = 2 x - 5 y = 6

a sy m pt o t es f (x) = \frac{4 x ^{2} + 6 x + 1}{2 x + 1}

d o main \frac{4 x}{x + 6}

y = - x - 2

in v erse f (x) = 8 (x + \frac{9}{2})

What is the domain of f(x)=sqrt(1+1/x) ?
The domain of f(x)=sqrt(1+1/x) is x<=-1\lor x>0