Question

For each of the following real-valued function, find the range of the function f and determine whether f is one-to-one, find the inverse function f^-1 and specify the domain of f^-1.

d) f(x) = x/(1-x) , Dom f = {x in R: 0 < x < 1}

e) f(x) = 1/(x^2+1), Dom f = {x in E: -1 <= x <= 1}

f.) f(x) = sin x, Dom f = {x in R: 0 <= x <= pi}