JEE Main 2020 — Functions Questions with Solutions

The inverse function of f x = 8 2 x - 8 - 2 x 8 2 x + 8 - 2 x , x ∈ - 1 , 1 , is __________.

For a suitably chosen real constant a , let a function, f   :   R - - a → R be defined by f x = a - x a…

The minimum value of 2 sin x + 2 cos x is :

If g x = x 2 + x - 1 and g o f x = 4 x 2 - 10 x + 5 , then f 5 4 is equal to

Suppose a differentiable function f x satisfies the identity f x + y = f x + f y + x y 2 + x 2 y , for all real x and y…

If f ( x + y ) = f ( x )   f ( y ) and Σ x = 1 ∞ f x = 2 ,   x , y ∈ N , where N is the set…

Let f : R → R be a function which satisfies f x + y = f x + f y ,     ∀ x ,   y ∈ R .…

Let A = { a , b , c } and B = { 1 , 2 , 3 , 4 } . Then the number of elements in the set C = { f : A → B ∣…

Let f : 1 ,   3 → R , be a function defined by f x = x x 1 + x 2 , where x , denotes the greatest integer &…

The domain of the function f ( x ) = sin − 1 x + 5 x 2 + 1 is − ∞ ,   − a ∪ a , &#16…