RD Sharma Solutions Class 12 Functions

RD Sharma Solutions Class 12 Chapter 2

Let A and B are two non Empty Sets. A relation f from A to B i.e. a subset of A \(\times\) B is called a Function.

Types of Function:

Equal Functions: Two functions f and g are said to be equal if :

  1. The domain of f = domain of g.
  2. The codomain of f = the co-domain of g
  3. f(x) = g(x) for every x belonging to their co-domain.

Reciprocal Function: The function \(f\;:\;R-{0}\rightarrow R \;\;Defined\; by\; \;f(x)\;=\;\frac{1}{x}\)

Square function: The Function \(f\;:\;R\rightarrow R \;\;Defined\; by\; \;f(x)\;=\;(x)^{2}\) is called the Square  function.

Square root function: The Function \(f\;:\;R\rightarrow R \;\;Defined\; by\; \;f(x)\;=\;(x)^{\frac{1}{2}}\) is called a Square root function.

Cube function: The Function \(f\;:\;R\rightarrow R \;\;Defined\; by\; \;f(x)\;=\;(x)^{3}\) is called the cube function.

Cube root function: The Function \(f\;:\;R\rightarrow R \;\;Defined\; by\; \;f(x)\;=\;(x)^{\frac{1}{3}}\) is called a cube root function.

RD Sharma Solutions for Class 12th maths Functions will help you to understand the different types of functions like constant function, signum function, arithmetic function, many one function, onto function in a very simplified and easier way by clicking the links given below. Prepare all the important concepts of Functions in detail with complete exercise wise solved RD Sharma Solutions to answer questions asked in highly competitive exams like JEE Mains and Advanced accurately.

Functions Class 12th RD Sharma Exercises

Functions Exercise 2.1

Functions Exercise 2.2

Functions Exercise 2.3


Practise This Question

A box has length, breadth and height of 10 cm, 20 cm and 5 cm respectively. The lateral surface area of the box is