A quadratic function is a function defined by an equation of the form F(x) = ax2 + bx + c, where a, b, and c are real numbers and a ≠ 0.
(a) Give an example of quadratic functions f and g for which f + g is also a quadratic function.
(b) Give an example of quadratic functions f and g for which f + g is not a quadratic function.
(c) Suppose f and g are quadratic functions. Is the function f ∘ g a quadratic function?
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