The reciprocal function of nonzero real numbers is a function that gives the multiplicative inverse of a number. That means, for any x, f(x)x = 1. It is defined for all real numbers excluding zero, which has no defined multiplicative inverse. When it is extended to the entire set of real numbers by defining f(0) = 0, the reciprocal function extended within reals is obtained. It can also be extended to the set of extended real numbers by defining f(0) = ∞ and f(∞) = 0, giving the extended real-valued reciprocal function of extended real numbers. Ad blocker interference detected! Wikia is a free-to-use site that makes money from advertising. We have a modified experience for viewers using ad blockers Wikia is not accessible if you’ve made further modifications. Remove the custom ad blocker rule(s) and the page will load as expected. Categories: Add category Cancel Save