Let `f: RrarrR` be defined by `f(x)=(e^x-e^(-x))//2dot` then find its inverse.

f(x)=e^x-e^(-x) then find f'(x)

Let f:R to R be defined by f(x) =e^(x)-e^(-x). Prove that f(x) is invertible. Also find the inverse function.

R rarr R be defined by f(x)=((e^(2x)-e^(-2x)))/2 . is f(x) invertible. If yes then find f^(-1)(x)

R rarr R be defined by f(x)=((e^(2x)-e^(-2x)))/2 . is f(x) invertible. If yes then find f^(-1)(x)

Let f(x)=x^(3)+3 be bijective, then find its inverse.

Let f: R to R be defined as f(x) = e^("sgn "x)+ e^(x^(2)) . Then find the range of the function, and also indentify the type of the function : one-one or many-one.

f:RrarrR" defined by "f(x)=(1)/(2)x|x|+cos+1 is

Let f: RrarrR be defined by f(x) = x^2 + 1 Then, pre images of 17 and -3 respectively, are

Let f: (e, oo) -> R be defined by f(x) =ln(ln(In x)) , then

The function f:RtoR defined by f(x)=e^(x) is