Ask a Doubt

Request a call back

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

CBSE Class 11-science Answered

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

Expert Answer

To find the domain of the function f(x) = 1/sqrt{x²-5x+6}

The space function space straight f space is space defined space only space when space the space denominator space not equal to 0 space and space square root of straight x squared minus 5 straight x plus 6 end root space is space defined Therefore comma space straight f left parenthesis straight x right parenthesis space is space defined space when space straight x squared minus 5 straight x plus 6 greater than 0 straight x squared minus 3 straight x minus 2 straight x plus 6 greater than 0 straight x left parenthesis straight x minus 3 right parenthesis minus 2 left parenthesis straight x minus 3 right parenthesis greater than 0 left parenthesis straight x minus 3 right parenthesis left parenthesis straight x minus 2 right parenthesis greater than 0 rightwards double arrow straight x minus 3 greater than 0 space and space straight x minus 2 greater than 0 space space OR thin space space straight x minus 3 less than 0 space and space straight x minus 2 less than 0 rightwards double arrow straight x greater than 3 space and space straight x greater than 2 space OR space space straight x less than 3 space and space straight x less than 2 rightwards double arrow straight x greater than 3 space space OR space space straight x less than 2 rightwards double arrow straight x element of open parentheses 3 comma space infinity close parentheses thin space thin space OR thin space thin space straight x element of open parentheses negative infinity comma space 2 close parentheses rightwards double arrow thin space straight x element of open parentheses negative infinity comma space 2 close parentheses union open parentheses 3 comma space infinity close parentheses

Answered by Renu Varma | 22 Sep, 2020, 12:27: PM

Concept Videos

Practice Test

Webinar

Pre Board Assessment

Answered Unanswered My Questions My Answers

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

CBSE 11-science - Maths

If f(x) = e^x and g(x) = log_e x then the value of fog(1) is

Asked by maarcusfelix2006 | 24 Jul, 2021, 07:39: AM

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

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

CBSE 11-science - Maths

Please help to solve

Asked by jasi01f4 | 06 Oct, 2020, 11:02: PM

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

CBSE 11-science - Maths

4x+1 then x =

Asked by rajvirsinhzala16 | 14 Aug, 2020, 12:43: PM

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

CBSE 11-science - Maths

find domain of √x^2-5x+6

Asked by Maria Jose | 04 May, 2020, 01:45: PM

ANSWERED BY EXPERT

CBSE 11-science - Maths

Find range

Asked by appiniakhil | 07 Apr, 2020, 07:43: PM

ANSWERED BY EXPERT

My Class Videos Tests Plans Ask a Doubt

Get FREE Sample Mock Papers for Final Exams

Download Now

×