Home
Class 12
MATHS
Find the domain of definition of the fun...

Find the domain of definition of the function
`f(x) = (x)/(sqrt(x^(2) - 3x + 2))`

Text Solution

AI Generated Solution

To find the domain of the function \( f(x) = \frac{x}{\sqrt{x^2 - 3x + 2}} \), we need to ensure that the denominator is defined and not equal to zero. The square root function is defined only for non-negative values, and since it is in the denominator, we specifically need it to be greater than zero. ### Step-by-Step Solution: 1. **Set up the inequality for the denominator**: We need the expression under the square root to be greater than zero: \[ x^2 - 3x + 2 > 0 ...
Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    AAKASH INSTITUTE ENGLISH|Exercise Try Yourself|70 Videos
  • RELATIONS AND FUNCTIONS

    AAKASH INSTITUTE ENGLISH|Exercise Assignment (Section - A) Objective Type Questions (one option is correct)|102 Videos
  • PROBABILITY

    AAKASH INSTITUTE ENGLISH|Exercise ASSIGNMENT SECTION-J (aakash challengers questions)|11 Videos
  • SEQUENCES AND SERIES

    AAKASH INSTITUTE ENGLISH|Exercise Assignment (SECTION - J) Aakash Challengers|11 Videos

Similar Questions

Explore conceptually related problems

Find the domain of definition of the function f(x) = sqrt(x^(2) - 25)

Find the domain of definition of the function f(x) = sqrt(64 - x^(2)) .

Find the domain of definition of the function f(x) = sqrt(x^(2) - 5x + 6) .

Find the domain of defintion of the function f(x) = sqrt(x^(2) - 3x + 2) .

The domain of definition of the function f(x)=(1)/(sqrt(|x|+x)) is

The domain of definition of the function f(x) = sqrt(log_(x^(2)-1)) x is

Find the domain of definition of the function f(x) = sqrt(a^(2) - x^(2)), a gt 0 .

The domain of definition of the function f(x)=(7- x)P_(x-3) , is

The domain of definition of the functions f(x) = log_(e)(x-[x]) , is

Find the domain of definition of the following functions : f(x)=sqrt(((x-1)(x+2))/((x-3)(x-4)))