Misc 1 - Chapter 1 Class 12 Relation and Functions
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? Deleted for CBSE Board 2021 Exams only
Example 22 Deleted for CBSE Board 2021 Exams only
Ex 1.3, 5 Important Deleted for CBSE Board 2021 Exams only
How to find Inverse?
Example 28 Deleted for CBSE Board 2021 Exams only
Misc 11 Important Deleted for CBSE Board 2021 Exams only
Ex 1.3, 11 Deleted for CBSE Board 2021 Exams only
Example 27 Important Deleted for CBSE Board 2021 Exams only
Misc 1 Deleted for CBSE Board 2021 Exams only You are here
Ex 1.3 , 6 Deleted for CBSE Board 2021 Exams only
Ex 1.3 , 14 Important Deleted for CBSE Board 2021 Exams only
Example 23 Important Deleted for CBSE Board 2021 Exams only
Misc 2 Deleted for CBSE Board 2021 Exams only
Ex 1.3 , 4 Deleted for CBSE Board 2021 Exams only
Example 24 Deleted for CBSE Board 2021 Exams only
Ex 1.3 , 8 Important Deleted for CBSE Board 2021 Exams only
Example 25 Important Deleted for CBSE Board 2021 Exams only
Ex 1.3 , 9 Important Deleted for CBSE Board 2021 Exams only
Finding Inverse
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