Home
Class 12
MATHS
f(x)=sqrt((log(x-1))/(x^(2)-2x-8)). Find...

`f(x)=sqrt((log(x-1))/(x^(2)-2x-8))`. Find the domain of f(x).

Text Solution

Verified by Experts

The correct Answer is:
`x in [2,4]`
Promotional Banner

Topper's Solved these Questions

  • FUNCTIONS

    ARIHANT MATHS|Exercise Exercise For Session 4|18 Videos
  • FUNCTIONS

    ARIHANT MATHS|Exercise Exercise For Session 5|25 Videos
  • FUNCTIONS

    ARIHANT MATHS|Exercise Exercise For Session 2|6 Videos
  • ESSENTIAL MATHEMATICAL TOOLS

    ARIHANT MATHS|Exercise Exercise (Single Integer Answer Type Questions)|3 Videos
  • GRAPHICAL TRANSFORMATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|10 Videos

Similar Questions

Explore conceptually related problems

f(x)=sqrt(x^(2)-abs(x)-2) . Find the domain of f(x).

f(x)=sqrt(2-abs(x))+sqrt(1+abs(x)) . Find the domain of f(x).

f(x)=sqrt(log((3x-x^(2))/(x-1)))

f(x)=log_(e)abs(log_(e)x) . Find the domain of f(x).

f(x)=sin^(-1)((3-2x)/5)+sqrt(3-x) .Find the domain of f(x).

f(x)=x/(1+x^(2)) . Find domain and range of f(x).

If f(x)=(x^(2)-x)/(x^(2)+2x) , then find the domain and range of f. Show that f is one-one. Also, find the function (d(f^(-1)(x)))/(dx) and its domain.

f(x)=sqrt(9-x^(2)) . find range of f(x).

Find domain for, f(x)=cos^(-1)x .

if: f(x)=(sinx)/(sqrt(1+tan^2x))-(cosx)/(sqrt(1+cot^2x)), then find the range of f(x)