Let `f: RrarrR` be defined by `f(x)=(e^x-e^(-x))//2dot` Is `f(x)` invertible? If so, find is inverse.

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.

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

Let A=R-{3},B=R-{1}, and let f: AvecB be defined by f(x)=(x-2)/(x-3) is f invertible? Explain.

If f:R rarr R is defined by f(x)=2x-3 prove that f is a bijection and 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.

Let f:R rarr R, f(x)=x+log_(e)(1+x^(2)) . Then