Ask a Doubt
Request a call back

Join NOW to get access to exclusive study material for best results

CBSE Class 11-science Answered

WHAT IS THE RANGE OF  X^2+3X+5/X^2-5X+4?
Asked by ime_myself23 | 23 Aug, 2015, 10:54: PM
answered-by-expert Expert Answer
L e t space fraction numerator x squared plus 3 x plus 5 over denominator x squared minus 5 x plus 4 end fraction equals Y rightwards double arrow x squared open parentheses Y minus 1 close parentheses plus x open parentheses negative 5 Y minus 3 close parentheses plus 4 Y minus 5 equals 0 F o r space apostrophe x apostrophe space t o space b e space r e a l comma space D greater or equal than 0 rightwards double arrow open parentheses negative 5 Y minus 3 close parentheses squared minus 4 open parentheses Y minus 1 close parentheses open parentheses 4 Y minus 5 close parentheses greater or equal than 0 rightwards double arrow 25 Y squared plus 9 plus 30 Y minus 4 open parentheses 4 Y squared minus 9 Y plus 5 close parentheses greater or equal than 0 rightwards double arrow 9 Y squared plus 66 Y minus 11 greater or equal than 0 apostrophe a apostrophe space f o r space t h e space a b o v e space q u a d r a t i c space e x p r e s s i o n space i s space p o s i t i v e. R o o t s space o f space t h e space a b o v e space q u a d r a t i c space a r e fraction numerator negative 66 plus-or-minus square root of 66 squared plus 396 end root over denominator 18 end fraction equals fraction numerator negative 11 plus-or-minus square root of 132 over denominator 3 end fraction H e n c e comma space Y element of left parenthesis negative infinity comma space fraction numerator negative 11 minus square root of 132 over denominator 3 end fraction right square bracket space large union space left square bracket fraction numerator negative 11 plus square root of 132 over denominator 3 end fraction comma space infinity right parenthesis
Answered by satyajit samal | 24 Aug, 2015, 11:59: AM

Concept Videos

Multiple Choice Questions Practice Test
Answered Unanswered My Questions My Answers
CBSE 11-science - Maths
Find the range and domain of the following function :- f(x) = | x^2 - 1 |
question image
Asked by suryansh141107 | 16 Oct, 2023, 09:29: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 11-science - Maths
|x|³-7|x|+6=0 pls solve with modulus
Asked by sohammukherjee0007 | 04 Oct, 2023, 11:01: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 11-science - Maths
find relation between x,y and z x² + 4y² + 9z² - 2xy - 3xz - 6yz = 0
Asked by sundramsingh1707 | 11 Jun, 2022, 05:20: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 11-science - Maths
If f(x) = ex and g(x) = loge x then the value of fog(1) is
Asked by maarcusfelix2006 | 24 Jul, 2021, 07:39: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 11-science - Maths
Find the equation of the locus which is at 5 units distance from the point A(3,_2)
Asked by Jagannadhameshwar5 | 15 Jul, 2021, 09:17: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 11-science - Maths
Hello sir I need a full explanation of this sum find domain and range of f(x)=|2x-3|-3
Asked by seeni2005 | 12 Oct, 2020, 08:50: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 11-science - Maths
Please help to solve  
question image
Asked by jasi01f4 | 06 Oct, 2020, 11:02: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 11-science - Maths
Hello sir, Please explain this sum, Find the domain of the functions i) f(x) = 1/√(x^2 -5x + 6)  ii) f(x) = x^2+2x+1/x^2-8x+12
Asked by seeni2005 | 21 Sep, 2020, 03:04: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 11-science - Maths
4x+1 then x =
Asked by rajvirsinhzala16 | 14 Aug, 2020, 12:43: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 11-science - Maths
mod(2x-[x])=4 where [] represent greatest integer function  
Asked by hrishityelchuri2017 | 19 May, 2020, 09:58: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
My Class Videos Tests ₹ Plans Ask a Doubt
Get Latest Study Material for Academic year 24-25 Click here
×