Define the following with an example: Domain of a function One – to – one function A function f is defined on the det of real numbers by Write down the domain of f. Show that f is a one – to – one function. Find the inverse of the function f. 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 4 1 ( ) 2 3 x f x x + = – 1 g f – ! 1 g f – ! 1 (0) = 2, f(2) = 5 and f(n) = 2 f(n – 1) + 3 f(n – 2) + f(n – 3) for all n ³ 3. Find f(4).
Define the following with an example: Domain of a function One – to – one function A function f is defined on the det of
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