Example 16 - Chapter 1 Class 12 Relation and Functions
Last updated at April 17, 2024 by Teachoo
Composite functions
Example 15
Ex 1.3, 1 Deleted for CBSE Board 2024 Exams
Example 16 You are here
Ex 1.3, 3 (i) Important Deleted for CBSE Board 2024 Exams
Ex 1.3, 13 (MCQ) Important Deleted for CBSE Board 2024 Exams
Question 3 Important Deleted for CBSE Board 2024 Exams
Question 1 Deleted for CBSE Board 2024 Exams
Question 9 Deleted for CBSE Board 2024 Exams
Question 11 Deleted for CBSE Board 2024 Exams
Ex 1.3, 2 Deleted for CBSE Board 2024 Exams
Composite functions
Last updated at April 17, 2024 by Teachoo
Example 16 Find gof and fog, if f : R → R and g : R → R are given by f (x) = cos x and g (x) = 3x2. Show that gof ≠ fog. f(x) = cos x , g(x) = 3x2 Hence, gof ≠ fog. f(x) = cos x f(g(x)) = cos g(x) fog(x) = cos (3x2) g(x) = 3x2 g(f(x)) = 3 f(x)2 gof (x) = 3 cos2 x