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Hello guys! I am Mohan Singh 

Welcome to Mathematical World, your number one source for all things related to Mathematics. I am dedicated to giving you the very best of Mathematics Solutions with a focus on quality and real-world problem solution.

Founded in 2021-03-25 by Mohan Singh, Mathematical World has come a long way from its beginnings in 226202 located in India. When I first started out, my passion for Mathematics drove us to start my own blog/website.

We hope you enjoy my blog as much as I enjoy offering them to you. If you have any questions or comments, please don't hesitate to contact me.

Sincerely, Mohan Singh

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Mathematical Reasoning - Notes, Concept and All Important Formula

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Function (Mathematics)- Notes, Concept and All Important Formula

FUNCTION 1. DEFINITION : If to every value (considered as real unless other-wise stated) of a variable \(\mathrm{x}\) , which belongs to a set \(\mathrm{A}\) , there corresponds one and only one finite value of the quantity \(y\) which belong to set \(B\) , then \(y\) is said to be a function of \(x\) and written as \(f: A \rightarrow B, y=f(x), x\) is called argument or independent variable and \(y\) is called dependent variable. Pictorially: \( \underset{\text { input }}{\stackrel{\mathrm{x}}{\longrightarrow}}\boxed{\mathrm{f}}\,\,  \underset{\text { output }}{\stackrel{\mathrm{f(x)=y}}{\longrightarrow}}\) \(y\) is called the image of \(x\) and \(x\) is the pre-image of \(y\) , under mapping \(\mathrm{f}\) .  Every function \(\mathrm{f}: \mathrm{A} \rightarrow \mathrm{B}\) satisfies the following conditions. (i) \(f \subset A \times B\) (ii) \(\forall \,\,  a \in A \,\, \exists\,\, b \in B\) such that \((a, b) \in f\) and (iii) If \((a, b) \in f \) &...

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