(5) Let ƒ: R \ {1} → R be the function given by f(x): = 2x - 3 x-1 (a) Prove that f is injective. (b) What is the image (or range) of f? (c) Find a subset BCR so that f: R \ {1} → B is surjective. Prove your claim. (d) Find f-¹: B → R \ {1}. (Hint: Use some of the work from your proof in (c).)

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