16 pts. 12. (a) Simplif 7x2 +15x+2 Simplify x? 49x2 -1 .7x?-X (b) For f(x) =...
Question 7 7x - 21 Given f(x) = - x2- 7x + 12 a. Determine the domains of f(x) and g(x). b. Simplify f(x) and find any vertical asymptotes. c. Complete the table. ix) g(x)
find fxy(x,y) if f(x,y)= 7x^2+4y^2-5 Find fxy(x,y) if f(x,y) = 7x2 + 4y? - 5. fxy(x,y)=0
Solve the system by addition. 30) x - 2y = -16 -7x - ly = -8 Perform the indicated operations. 31) ( 2x2 + 2x - x3 + 1) - (4x2 - 8x - x3 + 6) Factor the difference of squares. 32) 49x2 - 16 Perform the indicated operation and simplify. ܕ܂ .3 ܙ30 Write a slope-intercept equation for a line with the given characteristics. 34) Passes through (3,-7) and (0,-2)
1 = 2 = 3 = 4 = 5 Given f (x) = x² +7x, (a) Find f(x+h) and simplify. f(x+h)-f(x) (b) Find and simplify. h Part: 0/2 Part 1 of 2 (a) f(x+h) = +O D-O X 5 Next Part Search here
Find the function (fo h) and simplify. f(x) = 7x + 10, h(x) = Vx+6 (fo h)(x) = 12 (Simplify your answer.)
Let f(x) = 7x+2 and g(x) = 4x - 5. Find (f+g)(x). (f-9)(x), (fg)(x), and (x). Give the domain of each. (f+9)(x) = (Simplify your answer.) (f-9)(x) = (Simplify your answer.) (fg)(x) = (Simplify your answer.) (9) - [] (simplify your answer) The domain off+g is (Type your answer in interval notation.) The domain off-gis (Type your answer in interval notation.) The domain of fg is (Type your answer in interval notation) The domain of (Type your answer in interval...
2. (5 pts) Let f(x)= and x+1 5 g(x)= x-3 Find and simplify the composite function f(g(x)). Write as a single fraction.
Find a symbolic representation for f '(x) Fax) = ** f(x) = 7x +5 x -1 f'(x) = (Simplify your answer.)
Use the definition of the fact that f(x) is O(g(x)) to show that: 1. 7x^2 is O(x^2) 2. x^4 + 9x^3 + 4x + 7 is O(x^4) 3. (x^2+1) / (x+1) is O(x) Hint: Try to simplify algebraic expression.
296 POLYNOMIAL FUNCTIONS 34. f(x) 4x3 -62-8+15 33. f(x) = r + 3x + 4x 12 35. f(r) r +7x2+9a 2 36. f(x) = 9r +2x +1 37 f(x) 4x4 - 4313r2- 12 3 38. f(x)2x4 -7x3 14r2-15 +6 39 f(r) x4 + x+7x 9x 18 40. f(x) 6x4 +17r3 -55r2 + 16+12 41. f(z) =-3r4 - 83-122- 12 5 42. f(x) 8a4+50343r2+2x-4 43. f(x) = x4 +9x2 +20 44. f(x) x4 +5a2-24 1 45. f(x) - r7x3-7x2 12x 12...