3. Let h(x) = (x12 + 1)(x4 -6). Find two functions f(x) and g(x), so that h(x) = f(g(x)). f (x ) = g (x ) = 4. Let k(x) = 3V1 + x2 - 1 + 22. Find three functions f(x), g(x) and h(x) so that k(x) = f(g(h(x))). f (x) = g (20 ) = h ( ac ) =Problem 4 Let f(x) = 1 - 2x2 and g(x) = x + 1. Determine the following (don't simplify). ( f of ) ( I) = ( fog) (x) = (go f) (x) = Problem 5 Let a(x) = x2, b(x) = (x] and c(x) = 3x - 1. Express (3x - 1)2 as a composition of two of the functions a, b or c. Express |3x - 1) as a composition of two of the functions a, b or c. Express 3x2 - 1 as a composition of two of the functions a, b or c. Problem 6 Write G(x) = 1 3x2 + 1 as a composition of 3 nontrivial functions, f(x), g(x) and h(x) so that G(x) = (fogoh)(x) f (1) = g(x) = h(x ) =