Question 1 (a) Let f be the function defined on (-oo, - 1) by f (x) = -dt . Determine whether f t is a one-to-one function on (-oo, -1). (b) Determine the inverse of the function f(x) = In x for x in (-co, 0) . Justify your answer. State the domain of the inverse. (c) Determine the derivative of (cos(arctan x) ) with respect to x for -oo