If f(x)=∑n=0∞anxnf(x) = \sum_{n=0}^{\infty} a_n x^nf(x)=∑n=0∞anxn has radius of convergence R=3R=3R=3, what is the radius of convergence of g(x)=f(x2)g(x) = f(x^2)g(x)=f(x2)?
3\sqrt{3}3
333
999
1/31/31/3