What is the domain of f(x)=1+2/x ,x\ne 0 ?

The domain of f(x)=1+2/x ,x\ne 0 is x 0

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domain of f(x)=1+2/x ,x\ne 0

domain

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

What is the domain of f(x)=1+2/x ,x\ne 0 ?
The domain of f(x)=1+2/x ,x\ne 0 is x<0\lor x>0