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

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Advance Math

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 formulais defined.

  1. (a) Identify the domains and ranges for both f and g, givinganalytical reasons for your answers. (Drawing the graph alone isnot sufficient).

  2. (b) Determine an expression (in terms of x) for the compositefunction (g ? f ) and identify its domain and range, justifyingyour answer. Simplify the expression for (g ? f) as much aspossible for values of x within that domain.

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