3.If `f(x)= x^2-1/x^2` then find `f(x)+1/f(x)`

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

If f(x)=(x-4)/(2sqrt(x)) , then find f'(1)

Let f:DtoR , where D is the domain of f . Find the inverse of f if it exists: Let f:[0,3]to[1,13] is defined by f(x)=x^(2)+x+1 , then find f^(-1)(x) .

If f:R->R be defined by f(x)=x^2+1 , then find f^(-1)(17) and f^(-1)(-3) .

If y=f((2x-1)/(x^2+1)) and f^'(x)=sinx^2 , then find (dy)/(dx)

If f: R^+ to R , f(x) + 3x f(1/x)= 2(x+1),t h e n find f(x)

If f(x)=x^2+x+1 , then find the value of 'x' for which f(x-1) =f(x)

Ilf f(x)={x^3, x 2 , then find the value of f(-1)+f(1)+f(3) . Also find the value (s) of x for which f(x)=2.

If f(x)=x^2 , find (f(1. 1)-f(1))/((1. 1-1))

If f(x)=x^2 , find (f(1. 1)-f(1))/((1. 1-1))