Consider the function g(x) given by y = 9 - 3x.

a) Is g one-to-one on R? Answer Yes or No.

b)(i) Does the inverse function y=g(x) exist in the neighborhood of the point x=2? Answer Yes or No.

b)(ii) If the answer to part b)(i) above was No, write No below. If your answer to part b)(i) above was Yes, compute the derivative [g(x)] at x=2 and write the value below. (Write it either as a decimal number rounded to 3 decimal points.)

c)(i) Does the inverse function y=g(x) exist in the neighborhood of the point x*=0? Answer Yes or No.

c)(ii) If your answer to part c)(i) above was No, write No below. If your answer to part c)(i) above was Yes, compute the derivative [g(x)] at x*=0 and write the value in the blank below. (Write it decimal number rounded to 3 decimal points.)

Please answer a,b,c. Thank you!