Q3. Let C. be a positive real number, Consider the following two functions. f: [-3, )...

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Q3. Let C. be a positive real number, Consider the following two functions. f: [-3,₁ ∞) →→ R₁ f(x) = C-x 2 g: (-∞, 6]→IR, g(x) = x² +C. T Find all values of C for which both (fog)(x) and (gof)(x) exists. (8 marks). Q3. Let C. be a positive real number, Consider the following two functions. f: [-3,₁ ∞) →→ R₁ f(x) = C-x 2 g: (-∞, 6]→IR, g(x) = x² +C. T Find all values of C for which both (fog)(x) and (gof)(x) exists. (8 marks).