This Question: 2 pts For the given functions fand g, find (f.g)(x). f(x) = 5x +...
2. Let S be the set of all functions from R to R. For f.g es, we define the binary operation on S by (fog)(x) = f(x) + g(x) + 3x*, VX E R. (1) Find the additive identity in S under the operation . (ii) Find the additive inverse of the function w es defined by w(x) = 5x - 8, VXER [4] under the operation .
9. If f(x) = x2 - 6x + 2 and g(x) = -2x, find a. f.g(2) b. g•f(x)
Question 5 4 pts Find the second derivative of the given functions: f(x) = 8x3.9x2 + 6x +4 (a) 48 (b) 48x2 + 18 (c) 48x2-18x (d) 48x - 18 (e) 48x + 18 O (a) O (b) O (c) O (d) O (e)
For the given functions fand g, find the requested composite function value. f(x) = ***, g(x)=x+9; Find (g° 0 – 2). Oo oo D. 25
4 - Let f(x) = 4 – 5x and g(x) = 2 4 be functions from R into R. Prove that f and g are inverse functions by demonstrating that fog=iR and go f = ir.
(1 point) Use the given functions to evaluate the statements. f(g(-2))= (f.g)(3) = f(g(-3)) = 3 2 -2 -1 1 -3 -4 X 31 -4 -1 f(x) -2 0 4 -3 2 е(к)
QUESTION 1 Let V-L2([0,1 ],C) and > : Vx-СУч . Г f(x)g(x)dx be an inner product on V Let gor 91, 92, 93:0,1]R be given by gox)-1,g1(x)-x, 920x)-x2, g3(x) -x3 and consider the following subset S = { go, g 1, g 2, g3JC V. After applying the Gram-Schmidt process the following set of vectors T = {vo, vľ, V2, V3} is an orthonormal set, where V1, V2, V3, and V4 are given by: O vo= 1, v,-V3(2x-1), v,-V5 (6x2-6x...
For the given functions f and g, complete parts (a)-(h). For parts (a)-(d), also find the domain. 3x +7 f(x) = 7x-3 9(x) = 6x 7x-3 (a) Find (f+g)(x). (*+g)(x)=(Simplify your answer.) What is the domain off+g? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The domain is {x}. (Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.) O B....
Find the requested composition of functions. Given f(x) = 7x + 11 and g(x) = 5x - 1, find (f ∘ g)(x).
algebra/trigonometric
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For the given functions f and g, find the composition. 17) f(x) = x2 + 2x; g(x) = x + 2 Find (f.g)(2). 18) f(x) = x2 + 4x; g(x) = x Find (g • f)(3). 19) f(x) = x + 3; g(x) = 3x Find (f.g)(2).