Example 22 - Chapter 1 Class 12 Relation and Functions
Last updated at July 5, 2019 by Teachoo
Last updated at July 5, 2019 by Teachoo
Transcript
Example 22 Let f : {1, 2, 3} {a, b, c} be one-one and onto function given by f (1) = a, f(2) = b and f (3) = c. Show that there exists a function g : {a, b, c} {1, 2, 3} such that gof= IX and fog = IY, where, X = {1, 2, 3} and Y = {a, b, c}. Finding gof So, gof = { (1, 1) , (2, 2), (3, 3) } = IX = Identity function on set X = {1, 2, 3} Finding fog fog = { (a, a) , (b, b), (c, c) } = IY = Identity function on set Y = {a, b, c}
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 You are here
Ex 1.3, 5 Important Deleted for CBSE Board 2021 Exams only
How to find Inverse?
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Misc 11 Important Deleted for CBSE Board 2021 Exams only
Ex 1.3, 11 Deleted for CBSE Board 2021 Exams only
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Misc 1 Deleted for CBSE Board 2021 Exams only
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
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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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