CBSE Class 11-science Answered
Domain of the function ; f(x) = √(1-√(x^2-4x+5)) is
(1) R
(2) R-{2}
(3) {2}
Asked by rishijuneja2018 | 29 Jun, 2019, 05:32: PM
Expert Answer
f(x) = √(1 - √(x2 - 4x + 5))
Consider,
x2 - 4x + 5 = x2 - 4x + 4 + 1
= (x - 2)2 + 1
Hence,
1 - √(x2 - 4x + 5) ≥ 0
1 - √[(x - 2)2 + 1] ≥ 0
then
(x - 2)2 ≤ 0
x - 2 ≤ 0
Hence, function is defined only for x = 2
Correct option is (3)
Answered by Sneha shidid | 01 Jul, 2019, 12:38: PM
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