JEE Exam  >  JEE Notes  >  Chapter-wise Tests Main & Advanced  >  JEE Advanced (True/False): Functions

JEE Advanced (True/False): Functions

Q. 1. If f(x) = (a -xn)1/n where a > 0 and n is a positive integer, then f[f(x)] = x.

Ans. T

Solution. f (x) = (a - xn)1/n, a > 0, n is + veinteger
f (f (x)) = f [(a - xn)1/n] = [a -{(a - xn)1/n}n]1/n    
= (a - a +  xn)1/n = x


Q. 2. The function JEE Advanced (True/False): Functions is not one -to -one.

Ans. T

Solution. KEY CONCEPT :  A function is one-one if it is strictly increasing or strictly decreasing, other wise it is many one.

JEE Advanced (True/False): Functions


Q. 3. If f1(x) and f2(x) are defined on domains D1 and D2 respectively, then f1 (x) + f2 (x) is defined on D1 ∪ D2.

Ans. F

Solution. We know that sum of any two functions is defined only on the points where both f1 as well as f2 are defined that is f1 + f2 is defined on D1 ∩ D2.
∴ The given statement is false.

The document JEE Advanced (True/False): Functions is a part of the JEE Course Chapter-wise Tests for JEE Main & Advanced.
All you need of JEE at this link: JEE
Explore Courses for JEE exam
Get EduRev Notes directly in your Google search
Related Searches
past year papers, Free, JEE Advanced (True/False): Functions, Important questions, ppt, JEE Advanced (True/False): Functions, mock tests for examination, JEE Advanced (True/False): Functions, Exam, Semester Notes, Sample Paper, video lectures, study material, MCQs, practice quizzes, Extra Questions, pdf , Previous Year Questions with Solutions, shortcuts and tricks, Summary, Objective type Questions, Viva Questions;