True False of Functions, Past year Questions JEE Advance, Class 12, Maths JEE Notes | EduRev

Maths 35 Years JEE Mains & Advance Past year Papers Class 12

JEE : True False of Functions, Past year Questions JEE Advance, Class 12, Maths JEE Notes | EduRev

The document True False of Functions, Past year Questions JEE Advance, Class 12, Maths JEE Notes | EduRev is a part of the JEE Course Maths 35 Years JEE Mains & Advance Past year Papers Class 12.
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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 True False of Functions, Past year Questions JEE Advance, Class 12, Maths JEE Notes | EduRev 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.

True False of Functions, Past year Questions JEE Advance, Class 12, Maths JEE Notes | EduRev


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.

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