Let f(x) = [(((π/2 - sin-1(1 - {x}2))sin-1(1 - {x}))/(2({x} - {x}3)),; x ≠ 0), (π/2; x = 0) where {x} is the fractional part of x. Consider another function g(x); such that
g(x) = f(x) ; x ≥ 0
= 2.√2f(x); x < 0
Discuss the continuity of the function f(x) & g(x)at x = 0.