Let f be the function defined on (-1,-1)by S(x)=1;a. dt. Determine whether is a one-to-one function on (-0, -1). (8 marks) (b) Determine the inverse of the function S(x)= ln x' for x in (-0,0). Justify your answer. State the domain of the inverse. (8 mark

Let f be the function defined on (-1,-1)by S(x)=1;a. dt. Determine whether is a one-to-one function on (-0, -1). (8 marks) (b) Determine the inverse of the function S(x)= ln x' for x in (-0,0). Justify your answer. State the domain of the inverse. (8 marks) I Determine the derivative of [(cos(arctan x))] with respect to x for -->