Let, g:-1, 1] - r, f) = x', gr) = x2|x| then qfand g are linearly independent on [-1,1} fand g are linearly dependent on [-1, 1] ac) s) g(x)-f) gt) is not ident

Let, g:-1, 1] - R, f) = x', gr) = x2|x| Then Qfand g are linearly independent on [-1,1} fand g are linearly dependent on [-1, 1] AC) S) g(x)-f) gt) is NOT Identically zero on [-1, 1] (There exist continuous function p(x) and q(x) such that fand g satisfy +py + qy = 0 on [- 1,