Home
Class 12
MATHS
Find the values of x of for which sqrt(5...

Find the values of x of for which `sqrt(5-|2x-3|)` is defined

Text Solution

Verified by Experts

The correct Answer is:
`x in [-1,4]`

We must have `5-|2x-3|ge 0 `
or `|2x-3|le 5`
or `-5 le 2x -3 le 5 `
`rArr x in [-1,4]`
Promotional Banner

Topper's Solved these Questions

  • SET THEORY AND REAL NUMBER SYSTEM

    CENGAGE PUBLICATION|Exercise EXERCISES|30 Videos
  • SET THEORY AND REAL NUMBER SYSTEM

    CENGAGE PUBLICATION|Exercise Archives|1 Videos
  • SET THEORY AND REAL NUMBER SYSTEM

    CENGAGE PUBLICATION|Exercise Concept Application Exercise 1.4|11 Videos
  • SCALER TRIPLE PRODUCTS

    CENGAGE PUBLICATION|Exercise DPP 2.3|11 Videos
  • SOLUTIONS AND PROPERTIES OF TRIANGLE

    CENGAGE PUBLICATION|Exercise Comprehension Type|6 Videos

Similar Questions

Explore conceptually related problems

Find the value of x for which f(x)=sqrt(sinx-cosx) is defined, x in [0,2pi)dot

Find the value of x , for which 1/(sqrt(5+4x)) can be expanded as infinite series.

Find the value of x which f(x) = 1/sqrt(absx - x) is not defined.

Find all values of f(x) for which f(x) =x+sqrt(x^2)

Using calculus find the values of x , for which , (3x^(2)-5x+4) is a minimum

Find the values of x for which the following function is defined: f(x)=sqrt((1)/(|x-2|-(x-2)))

Find the value of f (0) for which f(x)=(64(sqrt(x+4)-2))/(sin2x) continuous .

Find the value of x for which following expressions are defined: 1/(sqrt(x-|x|)) (ii) 1/(sqrt(x+|x|))

Find the values of x for which the following functions are undefined: sqrt(x^2-4x+3)

Find the value of x for which f(x) = 2 sin^(-1) sqrt(1 - x) + sin^(-1) (2 sqrt(x - x^(2))) is constant