Math 11 Finals 2015a (1) - Mathematics 11 1st Sem AY 2015-2016 Final Exam December 4 2015 Directions Show all necessary solutions No solution no credit

Math 11 Finals 2015a (1) - Mathematics 11 1st Sem AY...

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Mathematics 11 Final Exam 1st Sem AY 2015-2016 December 4, 2015 Directions: Show all necessary solutions. No solution, no credit. Use blue or black pen only. All answers must be written in simplest form. Box your final answers. I. Do as indicated. (2 points each) 1. LetU={c, r, a, m, t, h, i, s},A={s, t, a, r}andB={c, h, r, i, s, t}. Find (AB)C.2. Simplify:72-4.3. Ifyvaries inversely as the square ofxandy= 3 whenx= 2, findywhenx= 3.4. Give the 101st term of the arithmetic sequence, 2,7,12,17,. . . .For items 5 and 6, consider the pointsP(2,1) andQ(4,-3).5. Find thelengthand themidpointof the line segmentPQ.6. Find the center-radius form of the equation of the circle centered atPand passing throughQ.II. Factor completely:a3b+ 3a2-ab-3(3 points)III. Simplify the following expressions. (Assume all denominators are nonzero.)(3 points each)1.81x-3x151/22.2x2+ 3x-2x3+ 8÷6x-3x2-2x+ 43.2x-2+x-12x2+x-6IV. Givenf(x) =2x-5 andg(x) =3x-1x-2. Find the following:1. domain off(x)(1 point)2.g-1(x)(2 points)3. range ofg(x)(1 point)4. (gf)(7)(1 point)V. Solve for
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