problems 37,39,54 just find the inverse no sketches needed , and problems 11,13,15,16,17,18

In Exercises 23-28, state whether each function given graphically is one-to-one. 23. 24. 4+ ting unit admin Inon sot bonitab at it V :self w 2+ -3 - 3 4 X - 4 - 3 - 2 - X1 - 1 2 3 * * -2 - - 2+ - 3 - - 3+ he number of gal -4+ 25. 26. svin of 4+ 3 + vou amaldong silt vitogrosss mild anoffour s fail of norinshin 2+ 2+ $2171 5 6 (2) roglychave the ard - 4+ ending amount 27. the quantity of for 28. 5 + See Table S. The function G() NW + CA .or 1+ 1 2 3 4- 3 - 2 - 1 1 -4 - 3 - 2 /1 1 - 2 3 -2+ - 2 + 8 + 3- = ( )8 18+ ; -3+ (x)1.81 - 3+ -4 - ()1 .er In Exercises 29-34, state whether each of the functions is one-to-one. 29. f(x) = - 3x+2 30. f(x) = =x+1 31. f(x) = 2x2 - 3 32. f(x) = -3x2+1 33. f(x) = -2x3 + 4 9 YONtss 34. f(x ) = -x3 . - 5 In Exercises 35-54, find the inverse of the given function and graph both on the same set of axes. input and 35. f(x) = - 36. g(x) = =x 37 . f(x ) = -4x+ UI IH 38. f(s) = 2s 39. f(x) = x3 - 6 40. f(x) = -x3+4 41. g(x) = -x2+ 8,x20 42. g(x) = x2 - 6, x20 43. f(x) = -2x3 + 7 44. g(x) = 3x3-5 45. f(x) = -4x5 + 9 46. 8(x) = 2x5 -6 47. A(x ) = =x 48. g(x) =- -1 49. g(x) = (x - 1)2, x21 2x 50. g ( x) = (x + 2)2, x 2 -2 51. f ( x) = V x+ 3, x2 -3 52. f(x) = Vx- 4, x24 2 x 54. f(x) = - *+ 3 53. A(x) = x - XExercises 1 . V 13 In Exercises 1-4, write each number using a rational exponent. 2. V4 3. Ve 4. Ve3 In Exercises 5-8, f and g are inverses of each other. 5. True or False: If f(2) = 3, then f-1(3) = 2. Assume fis one-to-one. 6. True or False: If g (8) = 2, then g(2) = 8. Assume g is one-to-one. 7. True or False: If f(x) = 4, then its inverse exists, and is f-1(x) = 7. 8. True or False: If f and g are inverses, then g(x) = (x) In Exercises 9 and 10, write each number using scientific notation. 9. 0.036 10. 102,000,000 0020 gol .08 Skills Quef got In Exercises 1 1 and 12, complete the table by filling in the exponential statements that are equivalent to the given logarithmic statements. 11. Logarithmic Statement Exponential 12. Statement Logarithmic Exponential Statement Statement log , 1 = 0 log , 4 = 2 log 10 = 1 gol log 100 = 2 10g 57 -1 . = -2 749 log x = b, a > 0, a #1 log a = b, a > o In Exercises 13 and 14, complete the table by filling in the logarithmic statements that are equivalent to the give exponential statements. 14. 13. Exponential Logarithmic Exponential Logarithmic Statement Statement Statement Statement 35 = 243 34 = 81 7112 = V7 51/3 = V5 1 wenn wor 5 -2 =. 6 -1 = 1 36 6 10a = b a" = u, a > 0, a # 1