Consider f(x) = log3 (x + 6) and g(x) = x - 4x (a) Determine ( 9) (x). (4) (x) and (x). State the domain of each function (b) Evaluate (f. g)(-3) and (4)(3) (c) Determine the x-intercepts of y = (f.g)(x) and y = (4) (x) 2+1 and g(x) = log2 Given that f(x): = 1+2+1 for all x 0, xR f(x) 1 , show that xg(x) - g =0 -(+)6 Solve algebraically and verify your answer using technology. State the solution using interval notation, where x ER x+x+4 (a) 2x+1 -1 (b) (c) 2 - x+1 x+4 3