Question: Let a, b denote fixed real numbers and suppose that R R is defined by f(x) = a (x +b) - b, x R.

Let a, b denote fixed real numbers and suppose that R→ R is defined by f(x) = a (x +b) - b, x ∈ R. (a) Determine f2(x) and f3(x). (b) Conjecture a formula for fn(x), where n ∈ Z+. Now establish the validity of your conjecture.

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