Misc 1 - Chapter 1 Class 12 Relation and Functions (Term 1)
Last updated at Dec. 17, 2018 by Teachoo
Last updated at Dec. 17, 2018 by Teachoo
Transcript
Misc 1 Let f : R R be defined as f(x) = 10x+ 7. Find the function g : R R such that gof= fog= IR Here g is the inverse of f Finding inverse Step 1 f(x) = 10x + 7 Let f(x) = y y = 10x + 7 y 7 = 10x 10x = y 7 x = 7 10 Let g(y) = 7 10 where g: Y N Step 2: gof = g(f(x)) = g(10x + 7) = 10 + 7 7 10 = 10 + 7 7 10 = 10 10 = x = IR Step 3: fog = f(g(y)) = f((๐ฆ โ 7)/10) = 10 ((๐ฆ โ 7)/10) + 7 = y โ 7 + 7 = y + 0 = y = IR Since gof = fog = IR, f is invertible & Inverse of f = g(y) = (๐ โ ๐)/๐๐
Finding Inverse
Inverse of a function
How to check if function has inverse?
Example 22 Deleted for CBSE Board 2022 Exams
Ex 1.3, 5 (i) Deleted for CBSE Board 2022 Exams
How to find Inverse?
Example 28 (a) Deleted for CBSE Board 2022 Exams
Misc 11 (i) Important Deleted for CBSE Board 2022 Exams
Ex 1.3, 11 Deleted for CBSE Board 2022 Exams
Example 27 Important Deleted for CBSE Board 2022 Exams
Misc 1 Deleted for CBSE Board 2022 Exams You are here
Ex 1.3 , 6 Deleted for CBSE Board 2022 Exams
Ex 1.3, 14 (MCQ) Important Deleted for CBSE Board 2022 Exams
Example 23 Important Deleted for CBSE Board 2022 Exams
Misc 2 Deleted for CBSE Board 2022 Exams
Ex 1.3 , 4 Deleted for CBSE Board 2022 Exams
Example 24 Deleted for CBSE Board 2022 Exams
Ex 1.3 , 8 Important Deleted for CBSE Board 2022 Exams
Example 25 Important Deleted for CBSE Board 2022 Exams
Ex 1.3 , 9 Important Deleted for CBSE Board 2022 Exams
Finding Inverse
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