Example 18 - Chapter 1 Class 12 Relation and Functions

Last updated at Jan. 28, 2020 by Teachoo

Transcript

Example 18 Show that if f : A → B and g : B → C are one-one, then gof : A → C is also one-one. Checking gof one-one We need to prove that If gof (x1) = gof (x2), then x1 = x2 Suppose gof (x1) = gof (x2) g (f (x1)) = g(f (x2)) Given g is one-one So, f (x1) = f (x2), And f is also one-one x1 = x2 Hence, gof is one-one.

Examples

Example 18 Important Deleted for CBSE Board 2021 Exams only You are here

Miscellaneous →

Chapter 1 Class 12 Relation and Functions

Serial order wise

Ex 1.1
Ex 1.2
Ex 1.3
Ex 1.4
Examples
Miscellaneous

About the Author

Davneet Singh

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 10 years. He provides courses for Maths and Science at Teachoo.