Let `f:(-oo,1]->(-oo,1]` such that `f(x)=x(2-x)`. Then find `f^(-1)(x)`.

If f:[2,oo)rarr(-oo,4], where f(x)=x(4-x) then find f^(-1)(x)

If f :[2,oo)rarr(-oo,4], where f(x)=x(4-x) then find f^-1(x)

Let f:(-oo,-1)rarr R-{1} is defined as f(x)=(x)/(x+1) Find f^(-1)(x)

Let f(x) be a non-constant twice differentiable function defined on (oo,oo) such that f(x)=f(1-x) and f'(1/4)=0^(@). Then

Let f (x) be a twice differentiable function defined on (-oo,oo) such that f (x) =f (2-x)and f '((1)/(2 )) =f' ((1)/(4))=0. Then int _(-1) ^(1) f'(1+ x ) x ^(2) e ^(x ^(2))dx is equal to :

If f:[1,oo) to [1,oo) is defined by f(x) = 2^(x(x-1)) then find f^(-1)(x) .

Let f:(-oo,2] to (-oo,4] be a function defined by f(x)=4x-x^(2) . Then, f^(-1)(x) is