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Popular Functions >

domain of x+1/x

Solution

domain

x + \frac{1}{x}

Solution

x < 0 or x > 0

+1

Interval Notation

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

Solution steps

Find undefined (singularity) points:

x = 0

The function domain

x < 0 or x > 0

Graph

Popular Examples

critical f(x)= 1/5 x^4-3/4 x^4

cr i t i c a l f (x) = \frac{1}{5} x^{4} - \frac{3}{4} x^{4}

asymptotes of f(x)= 5/((x-3)^3)

a sy m pt o t es f (x) = \frac{5}{( x - 3 ) ^{3}}

domain of f(x)=(2x-1)/(x-7)

d o main f (x) = \frac{2 x - 1}{x - 7}

inflection f(x)=(2x^2)/(x^2-9)

in f l ec t i o n f (x) = \frac{2 x ^{2}}{x ^{2} - 9}

range of f(x)=(x^2-1)/(x+1)

r an g e f (x) = \frac{x ^{2} - 1}{x + 1}

Frequently Asked Questions (FAQ)

What is the domain of x+1/x ?
The domain of x+1/x is x<0\lor x>0