G(x) = 1/x

Definition

The function g(x) = 1/x represents a reciprocal function, where the output is equal to one divided by the input value.

Related terms

Asymptote:

A line that a graph approaches but never touches. In the case of g(x) = 1/x, there are two asymptotes - x-axis (horizontal asymptote) and y-axis (vertical asymptote).

Domain:

The set of all possible input values for a function. For g(x) = 1/x, the domain excludes x=0 since division by zero is undefined.

Range:

The set of all possible output values for a function. For g(x) = 1/x, the range excludes y=0 since division by zero is undefined.