Question: Let f (x) = ax + b and g(x) = bx + a, where a and b are integers. If f (1) = 8 and

Let f (x) = ax + b and g(x) = bx + a, where a and b are integers. If f (1) = 8 and f (g(20)) − g(f (20)) = −14, find the product of a and b.

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