Precalculus

Answers Chapter 2 Review A-1543. a. ( f g)(x) 2x 2 2x 4; x 2b. ( fg)(x) 2x 2 2x 4; x 2c. (f /g)(x) 2x 22x 4 ; x 2d. ( f o g)(x) 4x 8; x 2e. (g o f )(x) 4x 2 445.x ( f g)(x) (fg)(x) (f/g)(x) (f o g)(x) (g o f )(x)63. None-101010Domain f g: {0, 1, 2, 3}Domain fg: {0, 1, 2, 3}Domain f/g: {0, 1, 3}Domain f o g: {0, 1, 2, 3}Domain g o f: {0, 1, 2, 3}47. Inverses 49. Not inverses 51. 1–1; f 1 (x) x 2353. Not 1–1 55. 1–1; f 1 (x) x 2 4, x 057. 1–1;59.0 4 330 21 4 4 1 3 02 3 0 Undefined 1 13 1 0 0 2 361. Quadraticx2f 1 (x)15 210 317 426 554321–2–3–4–51–5 –4 –3 –2 –1 1 2 3 4 5–2–3–4–5–6–7–8yyy = f –1 (x)–5 –4 –3 –2 –1 1 2 3 4 5y = xy = f(x)h(x) = –(x – 3) 2 + 1x-intercepts (2, 0) and (4, 0); y-intercept (0, 8)xx1x-intercept ( 2, 0); y-intercept (0, 1)65. Piecewise67.x-intercepts ( 3 and (5, 0) ; y-intercept (0, 3)2 , 0 )Vertex (1, 4) ; x-intercepts (3, 0) and (1, 0); y-intercept (0, 3)69.g(x) = –x 2 + 8x – 17y15105–15 –10 –5 5 10 15–5–10–1554321–5 –4 –3 –2 –1 1 2 3 4 5–2–3–4–5g(x) =54321–5 –4 –3 –2 –1 1 2 3 4 5–2–3(–1, –4) –4y-10f(x) = (x + 1) 2 – 4y(4, –1)2x + 3 x 15 – x 2 x >1Vertex (4, 1) ; no x-intercepts; y-intercept (0, 17)71. f (x) 1 73. h(x) (x 2) 2 12 x 3xxx