Question

At which points is the reciprocal function \[f(x)=\frac{1}{x}\] continuous?

Options

• At every real number, including \[x=0\].

• At every point in its domain, \[x\ne0\].

• Only at every integer.

• Only at \[x=0\].

Answer 1

The reciprocal function is not defined at \[x=0\]. It is continuous at every point of its domain, namely for \[x\ne0\].