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Miscellaneous
Misc 2 Deleted for CBSE Board 2023 Exams
Misc 3 Important Deleted for CBSE Board 2023 Exams You are here
Misc. 4 Important
Misc 5
Misc 6 Deleted for CBSE Board 2023 Exams
Misc 7 Deleted for CBSE Board 2023 Exams
Misc. 8 Important
Misc 9 Important Deleted for CBSE Board 2023 Exams
Misc 10 Important
Misc 11 (i) Important Deleted for CBSE Board 2023 Exams
Misc 11 (ii)
Misc 12 Deleted for CBSE Board 2023 Exams
Misc 13 Important Deleted for CBSE Board 2023 Exams
Misc 14 Important Deleted for CBSE Board 2023 Exams
Misc 15
Misc 16 (MCQ) Important
Misc 17 (MCQ) Important
Misc 18
Misc 19 (MCQ) Important Deleted for CBSE Board 2023 Exams
Last updated at March 16, 2023 by Teachoo
Misc 3 If f: R → R is defined by f(x) = x2 − 3x + 2, find f(f(x)). f(x) = x2 − 3x + 2. f(f(x)) = f(x)2 − 3f(x) + 2. = (x2 – 3x + 2)2 – 3(x2 – 3x + 2) + 2 = (x2)2 + (3x)2 + 22 – 2x2 (3x) + 2x2(2) – 2x2(3x) – 3(x2 – 3x + 2) + 2 = x4 + 9x2 + 4 – 6x3 – 12x + 4x2 – 3x2 + 9x – 6 + 2 = x4 – 6x3 + 9x2 + 4x2 – 3x2 – 12x + 9x – 6 + 2 + 4 = x4 – 6x3 + 10x2 – 3x Using (a – b + c)2 = a2 + b2 + c2 – 2ab + 2ac – 2ab