4. Let n be a positive integer, and V be the vector space ofpolynomials in Q[r] of degree at most n. Given a polynomial PE V,define f(P)(x) = = P(x) - P(-x) 2x (a) Show that f is a lineartransforma Let \\( n \\) be a positive integer, and \\( V \\) be the vector space of polynomials in \\( \\mathbb{Q}[x] \\) of degree at most \\( n \\). Given a polynomial \\( P \\in V \\), define \\[ f(P)(x)=\\f 2 answers