Home
Class 12
MATHS
Find the domain f(x) = sqrt(3x - 5)....

Find the domain `f(x) = sqrt(3x - 5)`.

Text Solution

AI Generated Solution

To find the domain of the function \( f(x) = \sqrt{3x - 5} \), we need to determine the values of \( x \) for which the function is defined. The square root function is defined only when the expression inside the square root is non-negative. Therefore, we need to solve the inequality: 1. **Set up the inequality**: \[ 3x - 5 \geq 0 \] 2. **Solve for \( x \)**: ...
Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

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

  • RELATIONS AND FUNCTIONS

    AAKASH INSTITUTE ENGLISH|Exercise Assignment (Section - B) Objective Type Questions (one option is correct)|86 Videos

  • RELATIONS AND FUNCTIONS

    AAKASH INSTITUTE ENGLISH|Exercise Assignment (Section - J) Aakash Challengers Questions|8 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 f(x) = sqrt(x-1) .

Find the domain of f(x) = sqrt(x-11) .

Find the domain of f(x) = sqrt(x^(2) - 25x + 144)

Find the domain of f(x)=sqrt((0. 625)^(4-3x)-(1. 6)^(x(x+8)))

Find the domain of f(x)=sqrt((0. 625)^(4-3x)-(1. 6)^(x(x+8)))

Find the domain of f(x)=1/(sqrt(x-|x|))

Find the domain of f(x)=sqrt(((1-5^x)/(7^(-x)-7)))

Find the domain of f(x)=sqrt(((1-5^x)/(7^(-1)-7)))

Find the domain of f(x)=sqrt(([x]-1))+sqrt((4-[x])) (where [ ] represents the greatest integer function).

Find the domain of f(x)=1/(sqrt(x-[x])) (b) f(x)=1/(log[x]) f(x)=log{x}