Example 16 - Chapter 1 Class 12 Relation and Functions
Last updated at Dec. 16, 2024 by Teachoo
Composite functions
Last updated at Dec. 16, 2024 by Teachoo
Transcript
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