#46 Continuous Extensions41. Define g(3) in a way that extends g(x) = (x2-9)/(xcontinuous at x3) to beTheory and Exa55. A continuouand positive3.42. Define h(2) in a way that extends h(t)to be continuous at t3t- 10)/(t 2)2.one solution43. Define f(1) in a way that extends f(s) = (s3-1)/(s - 1) to becontinuous at s = 156. Explain wh57. Roots of athree soluti44. Define g(4) in a way that extendsg(x) (x2 - 16)/(x2 3x 4)58. A functio(x- b)2+to be continuous at x4.45. For what value of a is59. Solving aare valuesfax) =x- 1, x32ах,f(x)60. Explainx 2 3informaticcontinuous at every x?a. Find t46. For what value of b isb. Find tSxg(x)bxcrossex<-2х,c. Find ad. Findcontinuous at every x?1у 347. For what values of a ise. Solvef(x)ax-2a12,61. Removax z 2that is cox< 2removabcontinuous at every x?48. For what values of b is62. Nonrenthat is cx - ba nonreb1'g(x)11discontx2 +b, x > 063. A funccontinuous at every x?a. Use49. For what values of a and b iscofun-2,x<-1ix b, -1

Name: #46 Continuous Extensions41. Define g(3) in a way that extends g(x) =
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Description: #46 Continuous Extensions41. Define g(3) in a way that extends g(x) = (x2-9)/(xcontinuous at x3) to beTheory and Exa55. A continuouand positive3.42. Define h(2) in a way that extends h(t)to be continuous at t3t- 10)/(t 2)2.one solution43. Define f(1)