College Algebra, 2013a

1.4 Function Notation 65
⎧
⎪⎨ x 2 if x ≤−1
√
36. Let f(x) = 1 − x 2 if −1 1
Compute the following function values.
(a) f(4) (b) f(−3) (c) f(1)
(d) f(0) (e) f(−1) (f) f(−0.999)
In Exercises 37 - 62, find the (implied) domain of the function.
37. f(x) =x 4 − 13x 3 +56x 2 − 19 38. f(x) =x 2 +4
39. f(x) = x − 2
x +1
41. f(x) = 2x
x 2 +3
43. f(x) = x +4
x 2 − 36
40. f(x) =
3x
x 2 + x − 2
42. f(x) = 2x
x 2 − 3
44. f(x) = x − 2
x − 2
45. f(x) = √ 3 − x 46. f(x) = √ 2x +5
47. f(x) =9x √ x +3
48. f(x) =
49. f(x) = √ 6x − 2 50. f(x) =
51. f(x) = 3√ 6x − 2 52. f(x) =
√ 7 − x
x 2 +1
6
√ 6x − 2
6
4 − √ 6x − 2
√ 6x − 2
53. f(x) =
x 2 − 36
55. s(t) = t
t − 8
57. b(θ) =
θ
√
θ − 8
3√ 6x − 2
54. f(x) =
x 2 +36
√ r
56. Q(r) =
r − 8
58. A(x) = √ x − 7+ √ 9 − x
59. α(y) = 3 √ y
y − 8
60. g(v) =
1
4 − 1 v 2
61. T (t) =
√
t − 8
5 − t
62. u(w) = w − 8
5 − √ w