Stitz-Zeager_College_Algebra_e-book

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Unformatted text preview: culus, we do not expand the denominator. 60 Relations and Functions 1.6.1 Exercises 1. Let f (x) = √ 1 x, g (x) = x + 10 and h(x) = . x (a) Compute the following function values. i. (f + g )(4) ii. (g − h)(7) iii. (f h)(25) iv. h g (3) (b) Find the domain of the following functions then simplify their expressions. i. (f + g )(x) ii. (g − h)(x) iii. (f h)(x) h iv. (x) g v. g (x) h vi. (h − f )(x) √ 2. Let f (x) = 3 x − 1, g (x) = 2x2 − 3x − 2 and h(x) = 3 . 2−x (a) Compute the following function values. i. (f + g )(4) ii. (g − h)(1) iii. (f h)(0) iv. h g (−1) (b) Find the domain of the following functions then simplify their expressions. i. (f − g )(x) 3. Let f (x) = ii. (gh)(x) √ 6x − 2, g (x) = x2 − 36, and h(x) = iii. f g (x) iv. f h 1 . x−4 (a) Compute the following function values. i. (f + g )(3) ii. (g − h)(8) f (4) g iv. (f h)(8) iii. v. (g + h)(−4) h vi. (−12) g (b) Find the domain of the following functions and simplify their expressions. i. (f + g )(x) ii. (...
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