Let f(x)=arctan(x)f(x) = \arctan(x)f(x)=arctan(x). What is the range of g(x)=f(x2)g(x) = f(x^2)g(x)=f(x2)?
(−π/2,π/2)(-\pi/2, \pi/2)(−π/2,π/2)
[0,π/2)[0, \pi/2)[0,π/2)
(−π/4,π/4)(-\pi/4, \pi/4)(−π/4,π/4)
[0,∞)[0, \infty)[0,∞)