Function F and g are defined by a) Express in terms of x i) f (x)

Question:

Function F and g are defined by


image


a) Express in terms of x


i) f¹(x)


ii) g¹(x).


b) Sketch in a single diagram the graphs of y = g(x) and y = g¹(x), making
clear the relationship between the graphs and writing down the coordinates
of their intersection.


c) Given that fg(−3) = f¹(k), find the value of k.

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