1. The problem statement, all variables and given/known data f(x) = (arctan(ln(sqrtx - 1)))^3 2. Relevant equations domain of arctan: all real numbers range of arctan: -∏/2, ∏/2 3. The attempt at a solution I know that domain is x>0 when x ≠ 1, because I need a positive number to go under the radical and the natural log of 0 is undefined. For the range, then, I worked inwards through the parentheses and then set lnsqrt(x) -1 greater than -pi/2 and less than pi/2. Still, I think I may have made a mistake because my answers keep coming out different. Also, I don't know the effect that the cubed on the whole equation has. Any help to clarify would be greatly appreciated.