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 If a function f:[2,)B defined by f(x)=x24x+5 is a bijection, then B is equal to 

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a
R
b
[1,∞)
c
[4,∞)
d
[5,∞)

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detailed solution

Correct option is B

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


Similar Questions

Which of the following statements are incorrect?

 I. If f(x) and g(x) are one-one then f(x)+g(x) is also one-one

 II. If f(x) and g(x) are one-one then f(x)g(x) is also one-one

 III. If f(x) is odd then it is necessarily one-one. 


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