Sets, Relations and Functions
Sets, Relations and Functions PDF Notes, Important Questions And Synopsis
JEE Main Video Lectures By Experts
VIEW ALLJEE 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
JEE Main - Maths
.

Asked by khushimishra2007 | 3rd Nov, 2021, 01:01: PM
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
JEE Main - Maths
domain of ln{x} where {}is the fractional part
Asked by khushimishra2007 | 3rd Nov, 2021, 01:01: PM
JEE Main - Maths
please answer

Asked by khushimishra2007 | 3rd Nov, 2021, 01:01: PM
JEE Main - Maths
solve questions 2+2
Asked by khushimishra2007 | 3rd Nov, 2021, 01:01: PM
JEE Main - Maths
467+467
Asked by khushimishra2007 | 3rd Nov, 2021, 01:01: PM
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
JEE Main - Maths
If f: A-->B and g: B-->C then define fog(x).
Asked by khushimishra2007 | 3rd Nov, 2021, 01:01: PM
JEE Main - Maths
what is nal set
Asked by khushimishra2007 | 3rd Nov, 2021, 01:01: PM
Related Chapters
- Complex Numbers and Quadratic Equations
- Matrices and Determinants
- Permutations and Combinations
- Mathematical Induction
- Binomial Theorem and its Simple Applications
- Sequences and Series
- Limit, Continuity and Differentiability
- Integral Calculus
- Differential Equations
- Co-ordinate Geometry
- Three Dimensional Geometry
- Vector Algebra
- Statistics and Probability
- Trigonometry
- Mathematical Reasoning