Q. 185.0( 1 Vote )

Mark the correct alternative in each of the following:

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

A. R

B. [1, ∞)

C. [4, ∞)

D. [5, ∞)

Answer :

Given that a function f : [2, ∞) B defined by f(x) = x2 – 4x + 5 is a bijection.


Put x = 2 in f(x),


f(x) = 22 – 4× 2 + 5


f(x=2) = 4 – 8 + 5


f(x=2) = 1


So, B ϵ [1, ∞)

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