Question: Consider the functions f (x) = sin x and f -1 (x) = arcsin x. (a) Use a graphing utility to graph the composite functions

Consider the functions f (x) = sin x and f -1 (x) = arcsin x.
(a) Use a graphing utility to graph the composite functions f o f −1 and f −1 o f.
(b) Explain why the graphs in part (a) are not the graph of the line y = x. Why do the graphs of f o f 1 and f 1 o f differ?

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