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Stitz-Zeager_College_Algebra_e-book

# The functions f and g are said to be invertible our

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Unformatted text preview: (That is, we know C = 2πr.) With the help of your classmates, compile a list of other basic geometric relationships which can be seen as variations. 9 Also known as the linear density. It is simply a measure of mass per unit length. 278 4.3.3 Rational Functions Answers 6 1. (a) x = − 7 (b) x = 1, x = 2 2. (a) (b) (c) (d) (e) (f) (g) (h) (c) x = −1 (d) x = −6, x = 2 (−2, ∞) (−2, 3] (−1, 0) ∪ (1, ∞) (−∞, 0] (−2, 0] ∪ (2, ∞) (−∞, −3) ∪ (−3, 2) ∪ (4, ∞) 1 −3, − 3 ∪ (2, 3) (−1, 0] ∪ (2, ∞) (i) (−∞, −3) ∪ (−2, −1) ∪ (1, ∞) (j) (−∞, 1] ∪ [2, ∞) (k) (−∞, −6) ∪ (−1, 2) √ √ (l) (−∞, −3) ∪ −2 2, 0 ∪ 2 2, 3 (m) No solution (n) [−3, 0) ∪ (0, 4) ∪ [5, ∞) 1 (o) −1, − 2 ∪ (1, ∞) 3. (a) V = πr2 h. (b) S = 2πr2 (e) No solution √ (f) x = 0, x = ±2 2 (c) S (r) = 2πr2 + 67.2 r, Domain r > 0 (d) r ≈ 1.749 in. and h ≈ 3.498 in. + 2πrh 4. P (30) = 100 so before 1903 there were fewer than 100 Sasquatch in Portage County. 5. (a) C (25) = 590 means it costs \$590 to remove 25% of the ﬁsh and and C (95) = 33630 means it would cost \$33630 to remove 95% of the ﬁsh from the pond...
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