Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
NDA2024MathematicsFunctionsActual

Which one of the following is correct in respect of f(x)= 1 |x|-x and g(x)= 1 x-|x| ?

Options

  1. Af(x) has some domain and g(x) has no domain
  2. Bf(x) has no domain and g(x) has some domain
  3. Cf(x) and g(x) have the same domain
  4. Df(x) and g(x) do not have any domain

Correct answer

A. f(x) has some domain and g(x) has no domain

Step-by-step solution

gathered f(x)= 1 |x|-x Domain of f(x),|x|-x 0 x (- , 0) g(x)= 1 x-|x| gathered Domain of g(x)=x-|x| 0 |x| x

Practice Functions on Quantrex Academy →

More from Functions

Consider the following statements in respect of the function f(x)=x in the interval (-1,1) : I. The function attains maximum value. II. The function attains minimum value. Which of 2026Passage: Consider the curves y=x^2 and y=2|x| . Question: What is the number of points of intersection of the curves ? 2026If 2f(x)+f(1-x)=x , then what is f(x) equal to ? 2026For the following two (02) items: Consider the function f(x) = 1 - [3] (x-1)^2 . What is the domain of the function? 2025Consider the following for the two (02) items that follow: Let the function y = (1 - x)⁻¹ , where x 2n and n is an integer. What is the range of the function? 2025For the following two (02) items: Consider the function f(x) = 10^x - 10^ -x 10^x + 10^ -x . What is f f f f f(0) equal to? 2025Consider the following for the two (02) items that follow: Let the curve f(x) = |x - 3| . What is the domain of the function f(x) ? 2025Consider the following for the two (02) items that follow: Let f = (1, 1), (2, 4), (3, 7), (4, 10) . If f(x) = px + q , then what is the value of (p + q) ? 2025 Full Functions list All NDA PYQs