34 JEE Main 2023 Functions previous-year questions with verified answers and step-by-step solutions.
These are the JEE Main 2023 previous-year questions from the Functions chapter of Mathematics. Each links to a full solution with a verified answer key. To see the whole chapter across all years, visit the Functions chapter hub.
Let f : R → R be a function such that f x = x 2 + 2 x + 1 x 2 + 1 . Then
Let 5 f x + 4 f 1 x = 1 x + 3 ,   x > 0 . Then 18 ∫ 1 2 f x d x is equal to
Let f : ℝ → ℝ be a function defined by f x = log m   2 sin x - cos x + m - 2 , for some m , such…
Let D be the domain of the function f x = sin - 1 log 3 x 6 + 2 log 3 x - 5 x . If the range of the function g : D U…
If the domain of the function f x = x 1 + x 2 , where x is greatest integer ≤ x , is [ 2 , 6 ) , then its range is
If f x = 2 2 x 2 2 x + 2 , x ∈ R , then f 1 2023 + f 2 2023 + f 3 2023 . . . . . . . . . f 2022 2023 is equal to
If the domain of the function f x = log e 4 x 2 + 11 x + 6 + sin - 1 4 x + 3 + cos - 1 10 x + 6 3 is ( α ,  …
The range of f x = 4 sin - 1 x 2 x 2 + 1 is
Consider a function f : ℕ → ℝ , satisfying f 1 + 2 f 2 + 3 f 3 + … + x f x = x x + 1 f x  …
Let f : R - 2 , 6 → R be real valued function defined as f x = x + 2 x + 1 x 2 - 8 x + 12 . Then range of f is
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