Let H(X)=f(x) + 5g(x), where the graphs of fand g are shown in the figure to...
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).
Compute (gof)(2) where the graphs of f and g are shown in Figure. y = f(x) y y= g(x) 'y Find the average rate of change of f(x) = 2x2 - 4 a) from 1 to 2 Done from 4 to 2
Let F be the equation y=e^5x, let G be the equation x= 7, and let H be the equation y=1 . Find the area of the region enclosed by the graph of these equations.(Use symbolic notation and fractions where needed.) area= (b), Let F be the equation y= sin(11 x), and let G be the equation y= cos(11 x). Find the area of the region enclosed by the graphs of these equations if 0 less than equal to x less...
3) Determine the values below using the graphs of fand g shown. If a value is not defined, state "not defined." Assume the ends of fand g continue the shape you see beyond the graph. Ax) c) 2-5(g(0)-3) (Read carefully.) d) 9(3) a e) g-2) 6-2 9) R-3)+9(5) h) For what values of x does g(x)-2? i) For what values of x is fdecreasing? D For what values of x is g increasing? k) Give three values that g(x) can...
Question 8 Give an appropriate answer. [ 4f(x) – 5g(x) Let lim f(x) = -3 and lim g(x) = 4. Find lim x-10 X-10 X-10 -S + g(x) 8 -2 10 7
6. (6 points) Let f(x) = 3x and let g(x) be the function shown in Figure 1. Determine So f()g'(x)dx. Figure 1: Graph of g() 1.5 + 1 9(0) -0. 5 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 5.5 6 6.5 -0.5 +
Problem 12: Let g(x) = Sof) dt, where f is the function whose graph is shown in the figure. Estimate g(0.8(2), 8(4), 8(6), and g(8). s 2 Sketch a rough graph of g.
(a) if f(x) = 5* - 6 and g(x) = 2x-5 graph fand g on the same Cartesian plane and plot the point of intersection (b) Find the point of intersection of the graphs off and g by solving f(x) = g(x). (c) Based on the graph, solve f(x)>g(x). (a) Choose the graph below that shows the intersection of f(x) = 5*-8 and g(x)=2x-5. The window display is [-10, 10, 1] by [-1, 14, 1). ОА. B. OC. a Q...
1. If fand g are both even functions, is the product fg even? If f and g both odd functions, is fg odd? What if f is even and g is odd? Justify your answers. (10 points) Find the domain g(x) =-. (10 points) 2. of the composited function fog, where f(x)=x+ and x +1 x+2 3. Let ifx <1 g(x) = x-3 ifx >2 Evaluate each of the following, if it exists. (10 points) lim g(x) lim gx)(i) lim...
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