Check sibling questions

Example 16 - Find gof, fog f(x) = cos x, g(x) = 3x2 - Examples

Introducing your new favourite teacher - Teachoo Black, at only ₹83 per month


Transcript

Example 16 - Chapter 1 Class 12 Relation and Functions - NCERT Find gof and fog, if f : R → R and g : R → R are given by f (x) = cos x and g (x) = 3x^2. Show that gof ≠ fog. f(x) = cos x , g(x) = 3x^2 fog f(x) = cos x f(g(x)) = cos g(x) fog = cos 3x^2 gof g(x) = 3x^2 g(f(x)) = 3 f(x)^2 gof = 3 cos^2 x Hence, gof ≠ fog.

Davneet Singh's photo - Co-founder, Teachoo

Made by

Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.