Stitz-Zeager_College_Algebra_e-book

986 this means it takes approximately 11 minutes for

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Unformatted text preview: c Functions 6.1.2 345 Answers 1. (a) (b) (c) (d) (e) (f) (g) 1 log 1000000 = −6 log(0.01) = −2 ln e3 = 3 3 log4 (8) = 2 log6 (1) = 0 √ 13 = 1 log13 2 √ 4 (p) log36 36 = 1 4 log3 (27) = 3 log6 (216) = 3 log2 (32) = 5 1 log6 36 = −2 log8 (4) = 2 3 log36 (216) = 3 2 log 1 (625) = −4 (s) log36 36216 = 216 (j) (k) (l) (m) (n) (o) 5 (h) log 1 (216) = −3 (t) ln(e5 ) = 5 √ 9 (u) log 1011 = 11 9 √ 3 5 (v) log 105 = 3 6 = −1 2 (x) log5 3log3 5 = 1 (q) 7log7 (3) = 3 (r) 36log36 (216) = 216 (i) log36 (36) = 1 1 √ e (w) ln (y) log eln(100) = 2 (f) (−6, −3) ∪ (5, ∞) (k) (−∞, −7) ∪ (1, ∞) (b) (−2, ∞) (g) (4, 7) (l) (13, ∞) (c) (5, ∞) (h) (5, ∞) (m) (0, 125) ∪ (125, ∞) (d) (−∞, −6) ∪ (−3, ∞) (i) (−∞, ∞) (n) No domain (e) (−2, −1) ∪ (1, ∞) (j) [1, ∞) (o) (−∞, −3) ∪ 2. (a) (−∞, ∞) 3. (a) f (x) = 3x+2 − 4 f −1 (x) = log3 (x + 4) − 2 (b) f (x) = log4 (x − 1) f −1 (x) = 4x + 1 y y 6 6 5 5 4 4 3 3 2 2 1 −4 −3...
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