Check sibling questions

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

This video is only available for Teachoo black users

Introducing your new favourite teacher - Teachoo Black, at only ₹83 per month


Transcript

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, ∞)

Davneet Singh's photo - Teacher, Engineer, Marketer

Made by

Davneet Singh

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths and Science at Teachoo.