May I know the how to solve this question? Consider the two functions f(x) = ?|x|...

May I know the how to solve this question?

Consider the two functions f(x) = ?|x| − 1 and g(x) = 1/(x2 − 1) defined on the maximal set of real numbers x for which each formula is defined.

(a) Identify the domains and ranges for both f and g, giving analytical reasons for your answers. (Drawing the graph alone is not sufficient).
(b) Determine an expression (in terms of x) for the composite function (g ◦ f ) and identify its domain and range, justifying your answer. Simplify the expression for (g ◦ f) as much as possible for values of x within that domain.

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Expert Solution

Colby Messinger answered 1 year ago

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