Question: Q3. Let C. be a positive real number, Consider the following two functions. f: [-3, ) R f(x) = C-x 2 g: (-, 6]IR,

Q3. Let C. be a positive real number, Consider the following two functions. f: [-3, ) R f(x) = C-x 2 g: (-, 6]IR, g(x) = x +C. T Find all values of C for which both (fog)(x) and (gof)(x) exists. (8 marks).

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