CAn a reciprocal function have an x intercept?

A reciprocal function, generally expressed as ( f(x) = \frac{1}{g(x)} ), cannot have an x-intercept since x-intercepts occur where ( f(x) = 0 ). For a reciprocal function to equal zero, the numerator would need to be zero, but the numerator is a constant value of 1. Therefore, reciprocal functions do not cross the x-axis and have no x-intercepts.