(a) Let A and B be any two sets. Say what it means for a function f : A → B to be surjective (give the definition). What is meant by the image of the function f? (b) Consider the function f : R\ {3} → R\{5} 5х + 4 xH f(x) : (i) Show that f is surjective. (ii) Find a formula for the inverse function f-1. (iii) Find x ER satisfying f(x) = 1.

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