Let ƒ : R → R, x ↔ x² − 4x + 7. (a) Is f injective? If not, find the largest possible set DCR such that ƒ : D → R is injective. (b) Is f surjective? If not, find the largest possible set CCR such that ƒ : R → C is surjective. (c) Is f bijective? If not, find D, C C R such that ƒ : D → C is bijective. Find the inverse function f-¹: C → D. (d) Draw the graph of both functions, f: D→ C and f-¹: C → D.

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A: Solution :-

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A: Answer(a):

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Q: Given f(x) = 3– 2x – x, Determine each of the following. C. a.) f(-6) b.) fG c.) f(r*) d.) f(x-1)…

A: Topic = Functions

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Q: Exercise.) Prove that if f is a real function on a measurable space X such that { | f(x) 2 r} is…

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A: We will find out the required value.

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