Inverse Function (Noun)
Meaning
A function obtained by expressing the dependent variable of one function as the independent variable of another; f and g are inverse functions if f(x)=y and g(y)=x.
Classification
Nouns denoting relations between people or things or ideas.
Examples
- The concept of inverse function is used to model the idea of undoing a process or reversing a relationship in mathematics and other fields.
- The sine and arcsine functions are examples of inverse functions that are used in trigonometry to solve problems involving right triangles.
- In calculus, the inverse function of a differentiable function f can be found by interchanging the x and y coordinates of the points on the graph of f.
- To find the inverse function of a polynomial function, the algebraic manipulation of solving for the dependent variable can be used.
- Inverse functions have many applications in physics, engineering, and computer science, including the modeling of electrical circuits and the analysis of population growth.