$0.50
Author
Subject Mathematics Discrete Math Keywords
Inverse
Function
Image
Domain
Codomain
Range
Exist
Discrete
Mathematics
Question
For each function below give the inverse function, if it exists, else say why it has no inverse.

a) f(0)=1, f(1)=2, f(2)=3, f(3)=4, f(4)=5, f(5)=6

b) f(0)=1, f(1)=2, f(2)=3, f(3)=3, f(4)=6, f(5)=7
Solution
We have the following identities:
f (0) =1 => g(1)=0 as inverse function
f(1) =2 => g(2)=1 as inverse function
f(2)=3 => g(3)=2 as inverse function
...

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