(adsbygoogle = window.adsbygoogle || []).push({}); 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.

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# Homework Help: Domain and range of the function (arctan(ln(sqrtx)-1)))^3

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