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Use the given graphs of fand g to evaluate the expression. (Assume that each point lies...
The functions fand g are defined by the following tables. Use the tables to evaluate the given composite function. (gof)(-2) g(x) х -2 0 - 6 f(x) 2 4 5 - 1 х -2 2 4 1 5 2 -1 8 (gof)(-2)=0
Approximate the point of intersection of the graphs of fand g. (x, y) = ( ) 20 40 60 80 Solve the equation f(x) = g(x) algebraically to verify your approximation. f(x) = log4 * g(x) = 3 (x, y) =(
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...
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
O GRAPHS AND FUNCTIONS Sum, difference, and product of two functions Suppose that the functions,fand g are defined for all real numbers r as follows. 2 g) 2 and evaluate (g n-. Write the expressions for (g-f)(x) and (g+f(r) and evaluate (g.)(-1). (e11)-D
The graphs of f and g are given. Use them to evaluate each limit, if it exists. (If an answer does not exist, enter DNE.) (a) \(\lim _{x \rightarrow 2}[f(x)+g(x)]\)(b) \(\lim _{x \rightarrow 1}[f(x)+g(x)]\)(c) \(\lim _{x \rightarrow 0}[f(x) g(x)]\)(d) \(\lim _{x \rightarrow-1} \frac{f(x)}{g(x)}\)(e) \(\lim _{x \rightarrow 2}\left[x^{3} f(x)\right]\)(f) \(\lim _{x \rightarrow 1} \sqrt{3+f(x)}\)
Evaluate each expression using the graphs of y = f(x) and y = g(x) shown below (a) (gof)(-1) (b) ( O) (c)(fog) -1) (d) (fog)(4) (a) (gof)(-1)=0 (Simplify your answer) nnect ces Enter your answer in the answer box and then click Check Answer. Check Answer Clear All 3 parts remaining Previous ni
SHORT ANSWER. Write the word or phrase that best completes each Evaluate the expression using the values given in the table 1) (fog)(4) 5 10 12 f(x) -4 10 3 14 1 X -5 1 -4 4 g(x) 1-5 5 10 Evaluate the expression using the graphs of y f(x) and y = g(x). 2) Evaluate (fg)(1) 8 g(x) one function to e For the given functions f and g, find the requested composite fu 1 2 3) f(x)= g(x)=-;...
Q Evaluate each expression using the graphs of y=f(x) and y=g(x) shown below. (a) (gof)(-1) (b) (gof)(0) (c) (fog) -1) (d) (fog)(4) (a) (gof)(-1)=0 (Simplify your answer.) (b) (gof)(0) = (Simplify your answer.) (C) (fog)(-1)=0 (Simplify your answer.) (d) (fog)(4)=0 (Simplify your answer.) y() 6 od 2- 4 y (K)
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....