Stitz-Zeager_College_Algebra_e-book

Hence weekly prot is maximized if we set the price at

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Unformatted text preview: 1 check (g ◦ f )(x) = g (f (x)) = f (x)+1 f (x)−1 = √ √x+1 x−1 = H (x), as required. 5.1 Function Composition 5.1.1 289 Exercises √ 1 1. Let f (x) = 3x − 6, g (x) = |x|, h(x) = x and k (x) = . Find and simplify the indicated x composite functions. State the domain of each. (a) (f ◦ g )(x) (h) (k ◦ f )(x) (b) (g ◦ f )(x) (i) (h ◦ k )(x) (c) (f ◦ h)(x) (j) (k ◦ h)(x) (d) (h ◦ f )(x) (k) (f ◦ g ◦ h)(x) (e) (g ◦ h)(x) (l) (h ◦ g ◦ k )(x) (f) (h ◦ g )(x) (m) (k ◦ h ◦ f )(x) (g) (f ◦ k )(x) (n) (h ◦ k ◦ g ◦ f )(x) 2. Let f (x) = 2x + 1, g (x) = x2 − x − 6 and h(x) = composite functions. Find the domain of each. x+6 . Find and simplify the indicated x−6 (a) (g ◦ f ) (x) (c) (h ◦ g ) (x) (b) (h ◦ f ) (x) (d) (h ◦ h) (x) 3. Let f (x) = √ x − 3, g (x) = 4x + 3 and h(x) = composite functions. Find the domain of each. (a) (b) (c) (d) (e) (f ◦ g ) (x) (g ◦ f ) (x) (f ◦ h) (x) (h ◦ f ) (x) (g ◦ h) (x) x−2 . Find and simplify the indicated x+3 (f) (h ◦ g ) (...
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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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