Ex 1.3, 5 (i) - Chapter 1 Class 12 Relation and Functions
Last updated at Dec. 16, 2024 by Teachoo
Inverse of a function
Ex 1.3, 1
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Chapter 1 Class 12 Relation and Functions
Serial order wise
- Ex 1.1
- Ex 1.2
- Examples
- Miscellaneous
- Case Based Questions (MCQ)
-
Inverse of a function
- Binary Operations
Transcript
Ex 1.3, 5 State with reason whether following functions have inverse (i) f: {1, 2, 3, 4} → {10} with f = {(1, 10), (2, 10), (3, 10), (4, 10)} A function has inverse if it is one-one and onto Check one one f = {(1, 10), (2, 10), (3, 10), (4, 10)} Since all elements have image 10, They do not have unique image ∴ f is not one-one. Since, f is not one-one, it does not have an inverse.
