Example 18 - Chapter 1 Class 12 Relation and Functions (Term 1)

Last updated at Jan. 28, 2020 by Teachoo

Example 18 - Show that if f, g are one-one, then gof is one-one

Example 18 - Chapter 1 Class 12 Relation and Functions - Part 2

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 2022 Exams You are here

Miscellaneous →

Chapter 1 Class 12 Relation and Functions (Term 1)

Serial order wise

Ex 1.1
Ex 1.2
Ex 1.3
Ex 1.4
Examples
Miscellaneous
Case Based Questions (MCQ)

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.