Mathematical methods and special functions have long served as the backbone of modern theoretical physics and applied mathematics. These tools enable researchers to solve complex differential ...

Functions are fundamental in mathematics, describing relationships between inputs and outputs. For instance, linear functions are used to describe proportional relationships such as calculating cost ...

In this article, we are providing you NCERT Exemplar Solutions for all the questions of Class 12 Mathematics Chapter 1 – Relations and Functions. The difficulty level of these questions is quite ...

A function is a way of describing what happens to an input variable, in order to get the output result. \(\text{Input} \rightarrow \text{FUNCTION} \rightarrow \text{Output}\) If we think of a simple ...

A composite function is one obtained by applying one function, such as \(f\left(x\right)\), to the output of another, such as \(g\left(x\right)\). Composite functions are an essential concept in ...