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Additional Mathematics
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Additional Mathematics
Functions
Additional Mathematics
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Functions
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A function from set X to set Y
A special relation that maps each element x in set X to only one element y in set Y
Vertical line test
Used to determine whether the given graph is a function or otherwise
Domain of a function
Set of possible values of x which defines a function
Range
Set of values of y that are obtained by substituting all the possible values of x
Product of combination of two functions that written as fg(x) or gf(x)
Process of combination by replacing two functions f and g to generate f[g(x)] or g[f(x)]
Inverse function
Reversal of a function such that every element in the codomain is mapped to only one element in the domain
Horizontal line test
Can be used to test the existence of inverse functions
f has inverse function
h does not have inverse function
If f and g are inverse functions of each other
-domain of f=range of g and domain of g=range of f -graph g is the reflection of graph f on the line y = x
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