2. Let f(x) = -x + 2 and g(x) = (x + 3)2. Determine a simplified algebraic model for each composite function. [K/A-31 a) y = g(f(x)) b) y = f(x) + g(x) d) y=f(x)g(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) = x2 - 5 and g(x) = 6x + 1. Find the function. fog (f.g)(x) = Find its domain. (Enter your answer using interval notation.)
Find the domain of the function f(x) = x-3 x2 +9x-225mg using interval notation. Determine if the following function is even, odd, or neither. Explain. f(x) = 2x - 5x3
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,...
15. Question Details Let f(x) = x2-4 and g(x) = In x. The domain of f(g(x)) is (0,e-20 [e?,..) (-2,-2) (e2,00) [0,e2] [e 2e2] [-2,2] 0 O Type here to search
Consider the following functions. f(x) = x2 + x, g(x) = x2 - 5 a) Find (f + g)(x), (f - g)(x), (f)(x), and (f/g)(x).(b) Find the domain of f + g. Find the domain of f- g. Find the domain of fg.
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)...
Given that f(x) = x2 + 9x and g(x) = 1 - 1, find: Note: you do not need to simplify results. (fog)(x)= (gºf)(x)= (f • f)(x)= (gog)(x)= ns ctor
Let g(x) =3x + 5 and f(x) = x2 + 2x – 7 . Find f(g(x)).