Home
Class 12
MATHS
Find the domain of definitions of the fo...

Find the domain of definitions of the following function: `f(x)=log_(10)(1-log_(10)(x^(2)-5x+16))`

Text Solution

Verified by Experts

The correct Answer is:
`x in (2,3)`
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

Find the domain of the following functions: f(x) = log (1-x )+ sqrt(x^2-1)

Find the domain and range of the following functions: f(x)=sqrt(16-x^2)

Find the domain and range of the following function : f(x) = 1-|x| .

Find the domain and range of the following function : f(x) =sqrt (x-1) .

The domain of definition of the function f(x)= sin^(-1){log_(2)((x^(2))/(2))} , is

The domain of definition of the function : f(x)= sqrt(1+ log_e (1-x)) is :

Find the domain of the following function : f(x)= 1/(sqrt(|x|-x)) .

Solve the following equation. (log_10(x-3))/log_(10)(x^2-21)=1/2

Find the domain and range of the following function : f(x) = sin (log((sqrt(4-x^2))/(1-x))) .