Suppose you have a function y = f(x) such that the domain of f(x) is 1 x 5 and the range of f(x) is -3 sys 6. (a) What is the domain of f(3(x-3))? 00x4 0 10 x 14 01x5 04x 14 0.10 x 20 (b) What is the range of f(3(x-3))? 0-3 sy6 O-5 sys 6 O2sys 11 O-8sys1 0-3 sy8 (c) What is the domain of 3f(x) - 3? 015x57 O-45x50 01x5 0-1x5 06x 10 (d) What is the range of 3f(x) - 3? O-17 y 10 O-7 y 20 O-14 sys 15 O-12 y 17 O-12 y 15 (e) Can you find positive constants B and C so that the domain of f(B(x - C)) is 8 x 9? Yes No Find the positive constants B and C, if they exist. (If an answer does not exist, enter DNE.) B= C = (f) Can you find positive constants A and D so that the range of Af(x) + D is 0 y 1? Yes O No Find the positive constants A and D, if they exist. (If an answer does not exist, enter DNE.) A = D =