(a) Let f and g be two functions defined from R R with f(x) = x + 1 and g(x) = x - 1. Find (gof)(1), (gof) (2) and (gof)(x). (b) One of the following function f: R R below is a bijection. Which one is it? Explain your answer. i. f(x) = x + x for all x R ii. f(x)=x + x for all x R iii. f(x) = x a for all x ER iv. f(x) = x = x for all x ER - (c) Solve the following logarithmic equation 2logg () - logg (6x - 1) = 0. Show your work. (d) Let f: R {1} R with f(x) = 52=3. 2-1 i. What is the image of f? ii. Find d R such that the function f: R - {1} R - {d} is a bijection. Explain your answer iii. Construct the inverse function of f.