MATA31H3 Lecture Notes - Lecture 1: Inverse Function, Even And Odd Functions, If And Only If

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17 Feb 2022
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A b where for quotient g (x) 0. The composition of two functions: the composition of two functions f and g is the function f g defined by: For all x (f g) (x) = f (g (x)) in the domain of g such that g(x) is in the domain of f. Note: (composition is not commutative) are functions such that: Inverse of functions: if g (f (x)) = x, f and g. 1 f ( f (f (x)) = x for all for all (x)) = x in the domain of f in the domain of g x x. Then g is the inverse of f and we denote g by f. Properties of inverses: if is an invertible function with inverse statements holds. ) = range (f ) and range ( f. 1 b: the graph of (b) = a.