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Q.

If a function f:[2,∞)→B defined by f(x)=x2−4x+5 is a bijection, then B is equal to

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a

R

b

[1,∞)

c

[4,∞)

d

[5,∞)

answer is B.

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Detailed Solution

fx= x2 -4x+5 = x-22 +1 ≥1 for all x∈[2 ,∞)Range of fx =[1 ,∞) = Codomain B , since f is onto

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