JEE Main 2022 — Functions Questions with Solutions

Let f x = x - 1 x + 1 ,   x ∈ R - { 0 , - 1 , 1 ) . If f n + 1 x =    f f n x for all n ∈ N…

Let f x = a x 2 + b x + c be such that f 1 = 3 ,   f - 2 = λ and f 3 = 4 . If f 0 + f 1 + f - 2 + f 3 = 14 ,…

The number of one-one functions f : a , b , c , d → 0 , 1 , 2 , … , 10 such that 2 f a - f b + 3 f c + f d…

The domain of f x = cos - 1 x 2 - 5 x + 6 x 2 - 9 log x 2 - 3 x + 2 is

The domain of the function f x = sin - 1 2 x 2 - 3 + log 2 log 1 2 x 2 - 5 x + 5 , where t is the greatest integer func…

Let f : ℝ → ℝ be defined as f x = x - 1 and g : R → 1 , - 1 → ℝ be defined as g x =…

Let f : N → R be a function such that f x + y = 2   f x   f y for natural numbers x and y . If f 1 = 2…

Let f : R → R be a continuous function such that f 3 x - f x = x . If f 8 = 7 , then f 14 is equal to:

Considering only the principal values of the inverse trigonometric functions, the domain of the function f x = cos - 1…

Let S = 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 . Define f : S → S as f n = 2 n ,   if   n = 1 , 2 , 3 ,…