5. Let f : R → [1, ∞) and g : [1, 0) → R be the functions defined by the following formulæ f (x) = x² +1 8(x) = Vx – 1 х — (a) Is f injective and/or surjective? Prove (b) Compute the expressions fo g(x) and go f(x). Are the functions f og and gof the same? Why/why not? your assertions.

Q: f: X→ Y and g: Y→V be bijective functions. Show the following: ) gof: X→V is injective. ) gof: X→ V…

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Q: f: X→Y and g: Y→V be bijective functions. Show the following: ) gof: X→ V is injective. ) gof: X → V…

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A: Let's find.

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A: The answer to this question is given below.Explanation:

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