Let function f : R → R be defined by f ( x ) = 2 x + sin x for x ∈ R . Then f is
Mathematics · JEE Advanced · NTA Exams — Sets, Relations and Functions
Let function f : R → R be defined by f (x) = 2x + sin x for x ∈ R. Then f is
- one-to-one and onto
- one-to-one but NOT onto
- onto but NOT one-to-one
- neither one-to-one nor onto
Answer
(A) one-to-one and onto
Sign up free on Edukali to view the step-by-step worked solution and practice thousands of similar questions.
Related practice questions
- Let R = (x, y) : x, y ∈ R. x 2 + y 2 R^ = (x, y): x, y R, y 4 9 x^ 2 then is
- Let f (x) be invertible function and let f –1 (x) be its inverse. Let equation f f –1 (x) = f –1 (x) has two…
- Let f (x) = min x, x 2 , for every x ∈ R. Then :
- The function f : R → R defined by f ( x ) = 6 x + 6 |x| is
- The domain of the function f (x) = 1 x^ 12 -x^ 9 +x^ 4 -x+1 is
- The number points (x, y), where curves |y| = l n |x| and (x –1) 2 + y 2 – 4 = 0 cut each other, is
- The domain of definition of the function y= 1 _ 10 (1-x) + x+2 is
- A rational function is defined as quotient of two polynomials, p( x ) and q( x ). The domain of the rational…
More Sets, Relations and Functions questions · Browse all practice questions