Define the following with an example: i) Domain of a function  ii) One – to – one function

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Define the following with an example:
i) Domain of a function 
ii) One – to – one function 
b) A function f is defined on the det of real numbers by
i) Write down the domain of f. 
ii) Show that f is a one – to – one function. 
iii) Find the inverse of the function f. 
c) Given the function f(x) = x2
, g(x) = 3x – 4, find the composite
function (where means followed by g) 
d) A function f is defined on the set N of natural numbers by

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