Math Functions, Relations, Domain & Range
A function ‘f’ is a relation between two sets which converts an input into an output. A function with Domain ‘x’ and Range ‘y’ is denoted by f: X-> Y.
Properties of functions:
Injective function (One-to-One):If f: X -> Y, then
Surjective function(Onto): If f: X -> Y, then
Bijective function(One-to One and Onto):If f: X -> Y, then
Inverse function (f-1): If f: X -> Y is an invertible function, then there exists ‘g’ such that g: Y -> X, where ‘g’ is called the inverse of ‘f’.
Example: Find f-1 for f(x) = 2x +3.
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