In Problems 29-44, for the given functions f and g, find: (b) gof (c) fof (d) g°g (a) fog State the domain of each composite function. 29. f(x) = 2x + 3; g(x) = 3x 31. f(x) = 3x + 1; g(x) = x² 33. f(x) = x²; g(x) = x² + 4 30. f(x) = -x; g(x) = 2x - 4 32. f(x) = x + 1; g(x) = x² + 4 34. f(x) = x² + 1; g(x) = 2x² + 3 35. f(x) = 3 8(x) = 2 1 36. f(x) = 8(x) = !3! X - 1 x + 3 4 g(x) = *+3 8(x) = 40. f(x) = Vx – 2; g(x) = 1 – 2x 42. f(x) = x? + 4; g(x) = Vx – 2 37. f(x) = 38. f(x) X -1 39. f(x) = Vr; g(x) = 2x + 3 41. f(x) = x² + 1; g(x) = Vx - 1 %3D X - 5 x + 2 2x - 1 x + 4 : 8(x) = ; g(x) 43. f(x) = 8(x) : 44. f(x) = * + 1' *- 3 x - 2 2x - 5

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