(1 pt) Express the function y V as a composition y f(g(x)) of two simpler functions...
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.)
Results for this submission Entered Answer Preview Result Message sgrtju^2+6) incorrect incorrect The identity function is not alow At least one of the answers above is NOT correct. (1 point) Express the function y= Vr + 6 as a composition y = f(e(x)) of two simpler functions y = f(u) and u = g). fu) - sgrttu2+6) help (formulas) g(x)-x help (formulas) Note: You can eam partial credit on this problem. Submit Anawers Preview My Answers Your score was recorded....
. Express H(x) = 3 √— 5x2 − 3x as a composition of two functions, f and g, where ( f ∘ g )(x) = H(x).
Express the function in the form fog. (Use non-identity functions for fand g.) G(x) = V 84x {f(x), g(x)} = { Need Help? Read It Talk to a Tutor
Find two functions f and g, so that h(x)=4(x+7)3 -(x+7)2 be the composition of f and g.
(1 point) The figures below show the graphs of the exponential functions f(x) and g(x), and the linear function, h(x). The function f(x) has y-intercept 0.75 and goes through the point (1,6). The function g(x) has y-intercept 6 and goes through the point (2,6/49). The function h(x) has y-intercept 5 and goes through the point (a, a + 5). y = f(x) y = g(x) y = h(x) (Click on a graph to enlarge it.) help (formulas) (a) Find a...
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 ?
Composition of two functions: Domai... Two functions g and f are defined in the figure below. 8 0 2 4 3 9 -9 Domain of 8 Range of g Find the domain and range of the composition fog. Write your answers in set notation. Domain of s Range of s Domain of fog : 0 Range of f •8: X ? Explanation Check 2020 M
5. Find the derivative matrices of the following composition of functions. (а) fog where f (x, у) — 2х — 3у, g(u, v) - (usin u, U sin u) (Ъ) f.g where f(х, у, 2) %3D (x? + у? +2?,х— у+2:), g() %3 (2, 13, 2/4) (с) fog wherе f (x, у, z) 3D (хуz, ху + xz — yz) where g(u, v, w) %3D (uu, uw, vw)
5. Find the derivative matrices of the following composition of functions. (а)...
O GRAPHS AND FUNCTIONS Composition of a function with itself Suppose that the functions fand g are defined as follows. f(x)--, x#0 g(x)-x2-9 Find the compositions f fand g'g. Simplify. your answers as much as possible. Assume that your expressions are defined for all x in the domain of the composition. You do not have to indicate the doma Explanation Check