Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Relations and Functions

Question:
Let A be a subset of real numbers. Suppose f : A → R and g : A →R be one - one functions then
Options:
f + g is one - one
f + g need not be defined
f + g need not be one - one
None of these
Correct Answer:
f + g need not be one - one
Explanation:
Let A = [ 0 , π/2] , f(x) = sin x and g(x) = cos x.