Odd problems only

(Hint: Complete the square.) 27-32. Graphing inverse functions Find the inverse function (on the given interval, if specified) and graph both f and f- on the same set of axes. Check your work by looking for the required symmetry in the graphs. 27. f(x) = 8- 4x 28. f(x) = 3x +5 29. f (x) = Vx + 2, for x 2 -2 30. f(x) = V3 - x, for x = 3 31. f( x) = (x - 2)2 - 1, for x 2 2 32. f(x) = x2 + 4, for x 2 0 33-42. Finding inverse functions Find the inverse f (x) of each function (on the given interval, if specified). 33. f (x) = 2/ (x2 + 1), for x 2 0 34. f (x) = 6/ (x2 - 9), for x > 3 35. f(x ) = e2x+6 36. f(x) = 4e5x 37. f(x) = In (3x + 1) 38. f(x) = 10g10 4x 39. f(x) = 10-2x 40. f(x) = 1/(et + 1) 41. f(x) = ex/(ex + 2 ) 42. f ( x ) = x/ (x - 2), for x > 2 43. Splitting up curves The unit circle x2 + y2 = 1 consists of four T one-to-one functions, f,(x), f2(x), f3(x), and f4(x) (see figure). a. Find the domain and a formula for each function. b. Find the inverse of each function and write it as y = f (x). T