15. Question Details Let f(x) = x2-4 and g(x) = In x. The domain of f(g(x))...
Let f (x) = x2 – 6 and g(x) = V6 – 2. Determine the domain of f (g(x)). O [-6,6] o [6,00) 0 (-00,-6] U [6,00) o(-00,00) 01-00,6] Determine the domain restriction, if one is necessary, so that f (x) = 212 + 1 is one-to-one. O [3,00) o(-0,3) O No restriction is necessary. O (1,00) O (3,00) Determine the vertex of the parabola described by f (x) = 3 – 12x + 2x2. O (2, -13) O (3,...
. For f(x)=x2 +3 and g(x) = x2-x, find a. (fogxx); b. the domain of fog a. (fog)(x) = 0 (Simplify your answer.) b. What is the domain of fog? The domain is (Simplify your answer. Type your answer in interval notation. Use integers or fractions for any numbers in the expression.) Enter your answer in the edit fields and then click Check Answer. All parts showing Clear All Check Answer 30 Ps @ w MacBook Air 80 4 11...
Let f(x) = 5x2 - 4x and g(x)= x2 - x+7. Find (f+g)(x), (f – 9)(x), (fg)(x), and a (x). Give the domain of each. (f+g)(x)= (Simplify your answer.) (f-g)(x)= (Simplify your answer.) (fg)(x)= (Simplify your answer.) H)(x) = (Simplify your answer.) The domain of (f+g)(x) is (Type your answer in interval notation.) The domain of (f -9)(x) is (Type your answer in interval notation.) The domain of (fg)(x) is (Type your answer in interval notation.) The domain of “x)...
Part C: Communication (20 marks) 1. Let f(x) = x + 3 and g(x) = x2 + 8x + 15. (5 a) Determine an equation for the combined function Y = F(X) marks) ico g(x) nobela bom a) State the domain and range (5 marks) 1200 to b) Sketch a graph of the function (5 marks) 410 e add (a bor AS PAGE 5 DA
Let f(x) = x + 5 and g(x) = x2 + 9x + 20. Determine a simplified algebraic model for y = 96) and identify its domain.
Let f(x) . Compute = coTo c171 for the domain 0< x < 2. Let To = x and ni x2. T1= Compute the continuous approximation. Let f(x) . Compute = coTo c171 for the domain 0
4) Let f(x) = a) fog and its domain x -4 and g(x) = 13. Find each of the following: b) gof and its domain
#65 Give the domain of each. For the pair of functions defined, find f+g, f-g, fg, and f(x) = x2 - 4. g(x) = 5x + 15 (f+g)(x)= (Simplify your answer.) The domain of (f+g)(x) is (Type your answer in interval notation.) (f-9)(x) = (Simplify your answer.) The domain of (f - g)(x)is (Type your answer in interval notation.) (fg)(x) = (Simplify your answer.) The domain of (fg)(x) is (Type your answer in interval notation.) (Simplify your answer.) The domain...
9. Evaluate the function (f -9) (-2) for: f (x) = x2 +4, and g(x) = x-5 . 0-5 O 8 O 11 0-15 0 15
(7 points total) Calculator allowed. Let f(x) = -x2 + 4, g(x) = x4 + 3x3 – x2 + 1, and let R be the region enclosed by f(x) and g(x). y -5 -2 0 . -5 -10 -15 Made with Desmos (a) (2 points) Find the area of R, round to three places. (b) (3 points) Suppose R is the base of a solid whose cross-sections are semi-circles perpendicular to the x-axis. Find the volume of the solid. Round...