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Sets, Relations and Functions

Sets, Relations and Functions PDF Notes, Important Questions And Synopsis

JEE Main - Maths
Q) Find the range of f(x) = x + 1/x Ans) See the image which I have uploaded.. I have just broken the eqn into √x² + 1/√x² +2 -2 ..and have formed the identity (a+b)² and the range is coming  (-∞, 2 ] U [ -2, ∞ ) which is wrong.. the correct range is coming from (a-b)² which is (-∞, -2 ] U [ 2, ∞ ). My Doubt- Why (a+b)² is not giving the correct range? Request- Please send the solution using (a+b)². I've attached an image and let me know if I'm wrong somewhere or why the correct solution isn't coming by using (a+b)². Thanks, Samit  Future Top 50 ranker in JEE ADVANCE
Asked by khushimishra2007 | 3rd Nov, 2021, 01:01: PM
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JEE Main - Maths
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Asked by khushimishra2007 | 3rd Nov, 2021, 01:01: PM
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JEE Main - Maths
f / [- 2, 2] -> [- 2, 2], g / [- 2, 2] -> [0, 4] are two functions defined as f(x)= -2,-2
Asked by khushimishra2007 | 3rd Nov, 2021, 01:01: PM
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JEE Main - Maths
domain of ln{x} where {}is the fractional part
Asked by khushimishra2007 | 3rd Nov, 2021, 01:01: PM
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JEE Main - Maths
please answer
Asked by khushimishra2007 | 3rd Nov, 2021, 01:01: PM
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JEE Main - Maths
solve questions 2+2
Asked by khushimishra2007 | 3rd Nov, 2021, 01:01: PM
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JEE Main - Maths
467+467
Asked by khushimishra2007 | 3rd Nov, 2021, 01:01: PM
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JEE Main - Maths
  find the domain and the range of the given function f(x)=5/5-x
Asked by khushimishra2007 | 3rd Nov, 2021, 01:01: PM
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JEE Main - Maths
If f: A-->B and g: B-->C then define fog(x).  
Asked by khushimishra2007 | 3rd Nov, 2021, 01:01: PM
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JEE Main - Maths
what is nal set  
Asked by khushimishra2007 | 3rd Nov, 2021, 01:01: PM
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