Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
NDA2015MathematicsFunctionsActual

Consider the following functions: 1. f(x)=x^3, x R 2. f(x)= x, 0 x 2 3. f(x)=e^x, x R Which of the above functions have inverse defined on their ranges?

Options

  1. A1 and 2 only
  2. B2 and 3 only
  3. C1 and 3 only
  4. D1, 2 and 3

Correct answer

C. 1 and 3 only

Step-by-step solution

The correct answer is option (C).

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