Stitz-Zeager_College_Algebra_e-book

# 2 we could dene f x n x functionally as the inverse

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Unformatted text preview: h ◦ f ) (x) = 5 2, ∞ √ 3. (a) (f ◦ g ) (x) = 2 x Domain: [0, ∞) √ (b) (g ◦ f ) (x) = 4 x − 3 + 3 Domain: [3, ∞) −2x − 11 (c) (f ◦ h) (x) = x+3 11 Domain: − 2 , −3 √ x−3−2 (d) (h ◦ f ) (x) = √ x−3+3 Domain: [3, ∞) 7x + 1 (e) (g ◦ h) (x) = x+3 Domain: (−∞, −3) ∪ (−3, ∞) (m) (k ◦ h ◦ f )(x) = √ 1 3x − 6 Domain: (2, ∞) 1 |3x − 6| Domain: (−∞, 2) ∪ (2, ∞) (n) (h ◦ k ◦ g ◦ f )(x) = x2 − x x2 − x − 12 Domain: (−∞, −3) ∪ (−3, 4) ∪ (4, ∞) 7x − 30 (d) (h ◦ h) (x) = − 5x − 42 Domain: (−∞, 6) ∪ 6, 42 ∪ 452 , ∞ 5 (c) (h ◦ g ) (x) = 4x + 1 4x + 6 3 Domain: −∞, − 3 ∪ − 2 , ∞ 2 √ (g) (f ◦ f ) (x) = x−3−3 (f) (h ◦ g ) (x) = Domain: [12, ∞) (h) (g ◦ g ) (x) = 16x + 15 Domain: (−∞, ∞) (i) (h ◦ h) (x) = −x − 8 4x + 7 Domain: (−∞, −3) ∪ −3, − 7 ∪ − 7 , ∞ 4 4 292 Further Topics in Functions (b) (g ◦ g )(x) = x4 − 18x2 + 72 Domain:...
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## This note was uploaded on 05/03/2013 for the course MATH Algebra taught by Professor Wong during the Fall '13 term at Chicago Academy High School.

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