Math 107 Final Examination Spring, 2017 Answer: Si 24',\" 4-7 1* L/ Work. 25 {a I .7 {3; r .. "5 f 5: Ci? m\" I i (a) 2% (b) 73+\" 26 Work for part (a) and for part (b): (Gr \"my yr : mgr: \\ JE/ 33W\"? )>(+5'E nyr'h 1! Wm wemw. r ., ! m. z .\\ R 1 Q, E I! - 1 T: if " gig? ' Z 4 35' M '7 E} 7: r I_ ll\" - \"M 1oww.ruw \fMath 107 Final Examination Spring, 2017 rIIISWCI'S: (a) Z, \"g/2" @ (b) g: \"m" g M Ma Work for (b): I K A s 8);) (%C%w7?f Q; l 29 \"Vii/Q7 _f w Answer: 34:; M \"J Work: X \"7 M ;: WM'W' 4" memww :: a\" ....... me. \"N \"WWW\" W W \"k 7K5? \"MM M m auunl nag vv Ln, VIII." \"on; 11:11me w De SHOWII, as 11101031180. 22.1.et f(x)=./x+7 and g(x)=x2. (a) Find [i](3). Show work. g (b) Find the domain of the quotient function i. Explain. g 23. Points (5, 2) and (9, 6) are endpoints of the diameter of a circle. (a) What is the length of the diameter? Give the exact answer, simplied as much as possible. Show work. (b) What is the center point C of the circle? (0) Given the point C you found in part (b), state the point symmetric to C about the x-axis. 24. Find the equation for a line which passes through the points (3, 7) and (5, 9). Write the equation in slopeintercept form. Show work. 25. Charles, a resident of Metropolis, pays Metropolis an annual tax of $80 plus 1.2% of his annual income. If Charles, paid $1,094 in tax, what was Charles' income? Show work. 26. Letf(x) = 2x2 + 9 and g(x) = x 2. (a) Find the composite function (f o g)(x) and simplify. Show work. (b) Find (f o g)(1). Show work. \\ 27. Find the exact solutions and simplify as much as possible: 3162 + 2 = 10x. Show work. 28. Given the function f (x) = 6 %x , find a formula for the inverse function. Show work. Page 10 of 11 Math 107 Final Examination Spring, 2017 SHORT ANSWER with Work Shown. Record your answers and work. Ioblem ' Number Solution Answers: L (a) u 7i: .3 (b) Work/for part (a) and explanation for part (b): 22 a \"1"" ,3 rm,\" 3,. i 5 r.) B, Answers: @)mfr;3