Q. 444.5( 4 Votes )
Let f : [2, ∞) <s A. R
B. [1, ∞)
C. [4, ∞)
D. [5, ∞)
Answer :
Given that, f (x) = x2–4x+5
Let f(x) = y
⇒ y = x2–4x+5
⇒ y = x2–4x+4+1
⇒ y = (x-2)2+1
⇒ y-1 = (x-2)2
⇒ (x-2)2= y-1
⇒
⇒
Now, if f is real valued function then
⇒ y-1 ≥ 0
⇒ y ≥ 1
∴ the range of f is [1, ∞).
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