Find the composition of the function and its domain: 16. f(x) = x -2 : g(x)...
For the real-valued functions f (x)=x +4 and g(x)=x-2, find the composition f ºg and specify its domain using interval notation. 昌 石 (reg)(x) = 0 可回(口,口口,口 OUD (口,可 口,口) Domain of fog:口 0 x 0 -00 6 ?
algebra/trigonometric please help! 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).
Express the given function h as a composition of two functions f and g so that h(x)=(f o g)(x) h(x) = 1/2x-2 Choose the correct pair of functions. Find the donain of the function. What is the domain of g? (Type your answer in interval notation.)
. Determine the domain of each logarithmic function. (b) g(x) = In 17 - 1 (a) f(x) = ; 109(16 – x2)
2 2. For function h(x) - a. Find (-1) b. Find the domain of h(x), write your answer in set-builder notation. 2 c. For function (x) h'(x) and state the domain and range of h'(x). 3. a. What is the relationship between the graph of a function and the graph of its inverse? b. Graph the function (x) = V1 – 3 and its inverse on the same coordinate system. Determine at least 3 points on each graph. Label each...
16. Using the graph of the function g shown: (a) Find the domain and the range of . (b) Find :(-1). (c) List the intercepts. (d) For what value of x does g(x)=-3? (e) Graph glx-2)+1 17. Find an equation of the circle satisfying the given conditions: Center (-4,1), passing through (-2,5)
Find the domain of each composite function fog , gof if f(x) =3x+1, g(x)=x2
First find f+g, f-g, fg and Then determine the domain for each function. f(x) = 4x + 1, g(x) = x - 9 (f+g)(x) = (Simplify your answer.) What is the domain off+g? O [0,00) 0 (-00,00) (4-9)(x) = (Simplify your answer.) What is the domain off-g? O O o [0,00) (-00,00) ( 10 ) Click to select your answer(s). First find f+g, f-g, fg and - Then determine the domain for each function. f(x) = 4x + 1, g(x)=x-9...
2 + (a) Determine and sketch the domain of the function f(x, y) = (x2 + y2 – 4) 9 – (x2 + y2). [7] x6 – yo (b) Evaluate lim (x,y)+(1,1) - Y [5] (c) What does it mean to say that a function f(x, y) has a relative minimum at (a,b)? [4] (d) Find all second order partial derivatives of the function f(x,y) = 22y.
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