Learn in your speed, with individual attention - Teachoo Maths 1-on-1 Class
Composite functions
Example 15
Ex 1.3, 1 Deleted for CBSE Board 2024 Exams
Example 16
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 You are here
Ex 1.3, 2 Deleted for CBSE Board 2024 Exams
Composite functions
Last updated at May 29, 2023 by Teachoo
Question 11 Let f: R → R be the Signum Function defined as 𝑓 𝑥= 1 , 𝑥>0&0, 𝑥=0−1 , 𝑥<0 and g: R → R be the Greatest Integer Function given by g(x) = [x], where [x] is greatest integer less than or equal to x. Then does fog and gof coincide in (0, 1]? We have to find gof and fog in (0, 1] i.e. 0 < x ≤ 1 gof = g(f(x)) = [f(x)] = [1] = 1 fog = f(g(x)) = 𝑓 0 , 0<𝑥<1𝑓 1, 𝑥=1 = 0, 0<𝑥<11, 𝑥=1 Hence gof = 1 & fog = 0, 0<𝑥<11, 𝑥=1 In gof , there is only one value, & in fog ,there are two values Hence, fog and gof do not coincide in (0, 1].