What is the domain of f(x)=x+1/x ,x\ne 0 ?

The domain of f(x)=x+1/x ,x\ne 0 is x 0

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domain of f(x)=x+1/x ,x\ne 0

domain

f (x) = x + \frac{1}{x}, x \neq = 0

x < 0 or x > 0

Interval Notation

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

Solution steps

Set the domain to the given interval

x < 0 or x > 0

Find undefined (singularity) points:

No real undefined points

Join undefined points with the domain:

(x < 0 or x > 0) and (x < 0 or x > 0)

x < 0 or x > 0

y = lo g_{10} (x - 4)

x^{2} - 3 x - 4

f (x) = 3 x^{2} - 27

\frac{x ^{3} + 5 x ^{2}}{7 x ^{2} - 2}

f (x) = \frac{2}{( \frac{2}{x - 7} ) - 7}

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