Misc 4 - Find domain and range of f(x) = root (x - 1) - Chapter 2

Misc 4 - Chapter 2 Class 11 Relations and Functions - Part 2


Misc 4 Find the domain and the range of the real function f defined by. f(x) = √((𝑥−1)) It is given that the function is a real function. Hence, both its domain and range should be real numbers x can be a number greater 1 Here, f(x) is always positive, Minimum value of f(x) is 0, Maximum can be any value Hence, value of domain (x) should be atleast 1 and will go on till infinity Hence, Domain = [1,∞) Similarly, value of range (f(x)) will be atleast 0 and will go on till infinity Hence, Range = [0, ∞)

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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.