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Last updated at Nov. 5, 2018 by Teachoo
Transcript
Misc 18 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].
Miscellaneous
Misc 2 Deleted for CBSE Board 2021 Exams only
Misc 3 Important Deleted for CBSE Board 2021 Exams only
Misc. 4 Important
Misc 5
Misc 6 Deleted for CBSE Board 2021 Exams only
Misc 7 Deleted for CBSE Board 2021 Exams only
Misc. 8 Important
Misc 9 Important Deleted for CBSE Board 2021 Exams only
Misc 10 Important
Misc 11 Important Deleted for CBSE Board 2021 Exams only
Misc 12 Deleted for CBSE Board 2021 Exams only
Misc 13 Important Deleted for CBSE Board 2021 Exams only
Misc 14 Important Deleted for CBSE Board 2021 Exams only
Misc 15
Misc 16 Important
Misc 17 Important
Misc 18 You are here
Misc, 19 Important Deleted for CBSE Board 2021 Exams only
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