2) a) Find the domain of the functions. h(x) = x2 – 5x b) Find the...
Find the functions and their domains. (Enter the domains in interval notation.) f(x) = 3x 7, g(x) = x2 + x (a) fog(f o g)(x) = _______ domain = _______ (b) gof (g o f)(x) = _______ domain _______ (c) fof (fof) (x) = _______ domain = _______ (d) gog (g o g)(x) = _______ domain _______
O GRAPHS AND FUNCTIONS Composition of two functions: Domain and range, Two functions g and f are defined in the figure below. Domain of Domain of g Range of g Range of Find the domain and range of the composition fog. Write your answers in set notation. Domain of fºg : 11 Range of fºg : 00 X 5 ?
Two functions g and f are defined in the figure below. & 3 5 Domain of g Range of g Domain of s Range of Find the domain and range of the composition fºg. Write your answers in set notation. Domain of fog : Range of fog : DO... X $ ? Continue here to search o te a
For the following exercises, find (fºg)(x) and ( gn) for each pair of functions. 34. f(x) = 4 – x, g(x) = - 4x 35. f(x) = 3x + 2, g(x) = 5 - 6x 36. f(x) = x2 + 2x, g(x) = 5x + 1 37. f(x) = Vx+2, g(x) = 38. f(x)= x +3 1, g(x) = V1 - x
We specific example of two functions that are defined by different rules for formulas) but that are equal as 2. Consider the functions /(x) = x and g(x) = Vr. Find: (a) A value for which these functions are equal. (b) A value for which these functions are not equal. 3. Let A = {1,2,3,4), B = {a,b,c,d,e), and C = {5, 6, 7, 8, 9, 10). Let S : A +B be defined via ((1.d).(2.b), (3, e), (4.a) Let...
Find the domain of each composite function fog , gof if f(x) =3x+1, g(x)=x2
Find (fog)(x) and (g of)(x) and the domain of each. f(x) = x2 - 23, g(x) = 3x - 7
Find fog and go f. f(x) = Vx+4, g(x) = x2 (a) fog (b) gof x +4 Find the domain of each function and each composite function. domain off domain of g domain of fog domain of g of
please answer to the question in the figure. Find each of the following functions. rx) = V5-x, g(x) = VX2-4 (a) fg State the domain of the function. (Enter your answer using interval notation.) (b) f-9 State the domain of the function. (Enter your answer using interval notation.) (c) fg State the domain of the function. (Enter your answer using interval notation.) (d) fig State the domain of the function. (Enter your answer using interval notation.) x+2 (a) fog (fo...
24,26,28,29,30 pleaseee Exer. 21–34: Find (a) (fºg)(x) and the domain of fºg and (b) (gºf)(x) and the domain of g f. 21 f(x) = x² – 3x, 8(x) = Vx+2 3 38 24 f(x) = -x + 1, 8(x) = VE - 5 25 f(x) = Vx - 2, 8(x) = Vx+5 - 3 26 f(x) = V3T g(x) = x + 2 27 f(x) = V3 – x. g(x) = VX? - 16 28 f(x) = x + 5,...