5. Given below are the graphs of two functions (x) and g(x) both functions are defined on[0,5].Let h(x)-(g(x)). Use the graphs to determine the sevalues of the critical points ofh(x).Explain Credit w...
3. Below you are given the graphs of the functions f and g. Suppose that: u(x)-f(g(x)), v(x)-f(x) g(x), and w(x)-g(f(x)) Use the graphs to find the indicated derivatives. If the indicated derivative does not exist, write "D.N.E." in the space provided. Be sure to include work that shows how you arrived at your answer. 20 a) u'3) b) v-4) c) wl) 3. Below you are given the graphs of the functions f and g. Suppose that: u(x)-f(g(x)), v(x)-f(x) g(x), and...
GRAPHS AND FUNCTIONS Inverse functions: Linear, discrete The one-to-one functions g and h are defined as follows. 8()-+-2 7 h={(-7, 2), (-2, 4), (2, -9), (4, - 7)} Find the following. 8 8 (8 •8')(-1) = 0 x 6 ? * (2) Explanation Check MacBook
5 Consider the functions f and g whose graphs are given below. z y = f(x) -4 A3 -2 -1 1 2 3 4 y = 9(2) -4 -3 -2 -1 1 2 3 4 1 + f. Find (3) a. Find f'(-3). b. Find f'(1). g. Suppose p(x) = f(x)g(2). Find p'(-3). c. Find f'(3). h. Suppose q(z) = 5(). Find g(3). d. Find t'(-3). g(2) e. Find g'(1). i. Suppose r(x) = x2 f(x). Find r'(1).
1. The graphs of f and g are given below. Use the graphs to answer the following questions. y=80) y = f(x) 1 की Graph of y = f(x) Graph of y = g(x) a) f(-1)+(-1) b) f(0) + 9(0) c) f(2) + 9(2) d) limg-2-(3) + g(x)) e) lim-1-((x) - 9(x)) f) lim +1+(f() - 9(x)) g) lime-1(f(x) - 9(x)) h) lim2+2x29(2) i) Find the point(s) of discontinuities of f(x). Explain why the function is discontinuous at those points....
Let fand g be the functions whose graphs are shown below. 3 2 - -4 2 2 3 4 5 N -2 g(x) 3 4 (a) Let u(x)=f(x)g(x). Find u'(-3). (b) Let v(x) = f(x)). Find v'(4).
DO ALL PARTS PLEASE Let f and g be the functions defined by f(x) = 1 +x+7-24 and g(x) = x* -6.572 +6x + 2. Let R and S be the two regions enclosed by the graphs off and g shown in the figure above. (a) Find the sum of the areas of regions R and S. (b) Region S is the line of a solid whose cross sections perpendicular to the x-axis are squares. Find the volume of the...
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
Suppose that the functions h and g are defined as follows. h(x)+5 g(x)7x-3 (a) Find(-4) (b) Find all values that are NOT in the domain of If there is more than one value, separate them with commas. (쓸)(-4). (a) (b) Value(s) that are NOT in the domain of
please help!! If the graphs of two differentiable functions f(x) and g(x) start at the same point in the plane and the functions have the same rate of change at every point, do the graphs have to be identical? Give reasons for your answer A corollary of the Mean Value Theorem states that if f7x): g7x) at each point x in an open interval (a,b), then there exists a constant C such that f(x)= g(x)-C for all Xe(a,b). That is,...
Differentiate. Let f and g be functions that satisfy: f(4)-1, g(4)--3, f'(4)--2,and g'(4)-3. Finod h(4) for h(x)-f(x)g(x)-2/(x)+'7 O-5 -13 13 Differentiate. Let f and g be functions that satisfy: f(4)-1, g(4)--3, f'(4)--2,and g'(4)-3. Finod h(4) for h(x)-f(x)g(x)-2/(x)+'7 O-5 -13 13