Consider the exponential function: g left parenthesis x right parenthesis space equals space space 3 open parentheses 2 to the power of 1 minus x end exponent close parentheses space minus space 12 a) State the domain of this function in interval notation. b) State the equation of the horizontal asymptote. c) Without graphing the function, state the range of this function in interval notation. Explain your logic. d) Sketch the function using the method of Transformations, showing the procedure we have done in class. Express the end-behaviour, using correct notation, on your graph. e) Apply the One to One Property of Exponentiation to find the exact coordinates of the x-intercept. f) Find the equation of the inverse function. Clearly show your method