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Express the function y = 5(x - 3)3 as a composition y = f(g(x)) of two simpler functions y = f(u) and u = g(x)
Express the function y = 5(x - 3)3 as a composition y = f(g(x)) of two simpler functions y = f(u) and u = g(x) f(u) = help (formulas) g(x) = help (formulas)Let f be the linear function (in blue) and let g be the parabolic Function (in reel) below. If you are having a hard time seeing the picture clearly, click on the picture. It will expand to a larger picture on its: own page so that you can inspect it more closely. Note: If the answer does not exist, enter 'DNE': 1-(f0g)(2)= 1'. 2-(300(Z)= I'- 3-(1'0f)(2)= I. 4-(gg)(2)= i. 5-(+g)(4)= '1 6.(ffg)(2): y; Suppose that ts) = v4z 1 and 9(2) = 732 2. For each Function In given below, nd a formula For 11(2) and the domain oi'h. Enter the domains using interval notation. (A) 31(3) = {f 0 9) (3}- Suppose that x} =% and 9(3) = 62:3 7:. For each function h given below, nd a formula For Mr) and the domain of. h. Note: When entering interval notation in WeBWorK, use I for 00, [ for 00, and U for the union symbol. If the set is empty, enter "U\" without the quotation marks. (3)3185] = 0090(3)- hh') = 9'. Domain = .4: (B) 11(2) = (a 0 WM- M2} = .41 Domain = f. (C) M3) = {f0 mt)- h[::} = .41 Domain = f. (D) 93(3) = (9 0 9W)- h(::} = .4: Domain = 9" Note: For this question, input infinity for co and input -infinity for -co. Given that f(x) = x2 - 10x and g(x) = x + 2, find ( a) f + g= and its domain is( (b) f - g= and its domain is ( (c) fg= and its domain is ( (d) f/g= and its domain is c
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