Composition of functions is commutative: f∘g = g∘f for all f, g.
Answer
FALSE
Solution
f∘g ≠ g∘f in general. Counterexample: f(x)=x², g(x)=x+1: f∘g = (x+1)², g∘f = x²+1. They are different.
About this question
Subject: Mathematics · Chapter: Sets, Relations and Functions · Topic: Composite and Inverse Functions
This question is part of PrepWiser's free JEE Main question bank. 16 more solved questions on Sets, Relations and Functions are available — start with the harder ones if your accuracy is >70%.