Problem 1TI: Find and simplify the functions (fg)(x) and (fg)(x) . f(x)=x1 and g(x)=x21 Are they the same... Problem 2TI: The gravitational force on a planet a distance r from the sun is given by the function G(r) . The... Problem 3TI: Using Table 1, evaluate f(g(1))andg(f(4)) . Problem 4TI: Using Figure 1, evaluate g(f(2)) . Problem 5TI: Given f(t)=t2tandh(x)=3x+2 , evaluate a.h(f(2)) b.h(f(2)) Problem 6TI: Find the domain of (fg)(x) where f(x)=1x2 and g(x)=x+4 Problem 7TI: Write f(x)=434+x2 as the composition of two functions. Problem 1SE: How does one find the domain of the quotient of two functions, fg ? Problem 2SE: What is the composition of two functions, fg ? Problem 3SE: If the order is reversed when composing two functions, can the result ever be the same as the answer... Problem 4SE: How do you find the domain for the composition of two functions, fg ? Problem 5SE: For the following exercises, determine the domain for each function in interval notation 5. Given... Problem 6SE: For the following exercises, determine the domain for each function in interval notation 6. Given... Problem 7SE: For the following exercises, determine the domain for each function in interval notation 7. Given... Problem 8SE: For the following exercises, determine the domain for each function in interval notation 8. Given... Problem 9SE: For the following exercises, determine the domain for each function in interval notation 9. Given... Problem 10SE: For the following exercises, determine the domain for each function in interval notation Given... Problem 11SE: For the following exercises, determine the domain for each function in interval notation 11. For the... Problem 12SE: For the following exercises, use each pair of functions to find f(g(x)) and g(f(x)) . Simplify your... Problem 13SE: For the following exercises, use each pair of functions to find f(g(x)) and g(f(x)) . Simplify your... Problem 14SE: For the following exercises, use each pair of functions to find f(g(x)) and g(f(x)) . Simplify your... Problem 15SE: For the following exercises, use each pair of functions to find f(g(x)) and g(f(x)) . Simplify your... Problem 16SE: For the following exercises, use each pair of functions to find f(g(x)) and g(f(x)) . Simplify your... Problem 17SE: For the following exercises, use each pair of functions to find f(g(x)) and g(f(x)) . Simplify your... Problem 18SE: For the following exercises, use each pair of functions to find f(g(x)) and g(f(x)) . Simplify your... Problem 19SE: For the following exercises, use each pair of functions to find f(g(x)) and g(f(x)) . Simplify your... Problem 20SE: For the following exercises, use each set of functions to find f(g(h(x))) . Simplify your answers.... Problem 21SE: For the following exercises, use each set of functions to find f(g(h(x))) . Simplify your answers.... Problem 22SE: For the following exercises, use each set of functions to find f(g(h(x))) . Simplify your answers.... Problem 23SE: For the following exercises, use each set of functions to find f(g(h(x))) . Simplify your answers.... Problem 24SE: For the following exercises, use each set of functions to find f(g(h(x))) . Simplify your answers.... Problem 25SE: For the following exercises, use each set of functions to find f(g(h(x))) . Simplify your answers.... Problem 26SE: For the following exercises, find functions f(x)andg(x) so the given function can be expressed as... Problem 27SE: For the following exercises, find functions f(x)andg(x) so the given function can be expressed as... Problem 28SE: For the following exercises, find functions f(x)andg(x) so the given function can be expressed as... Problem 29SE: For the following exercises, find functions f(x)andg(x) so the given function can be expressed as... Problem 30SE: For the following exercises, find functions f(x)andg(x) so the given function can be expressed as... Problem 31SE: For the following exercises, find functions f(x)andg(x) so the given function can be expressed as... Problem 32SE: For the following exercises, find functions f(x)andg(x) so the given function can be expressed as... Problem 33SE: For the following exercises, find functions f(x)andg(x) so the given function can be expressed as... Problem 34SE: For the following exercises, find functions f(x)andg(x) so the given function can be expressed as... Problem 35SE: For the following exercises, find functions f(x)andg(x) so the given function can be expressed as... Problem 36SE: For the following exercises, find functions f(x)andg(x) so the given function can be expressed as... Problem 37SE: For the following exercises, find functions f(x)andg(x) so the given function can be expressed as... Problem 38SE: For the following exercises, find functions f(x)andg(x) so the given function can be expressed as... Problem 39SE: For the following exercises, find functions f(x)andg(x) so the given function can be expressed as... Problem 40SE: For the following exercises, find functions f(x)andg(x) so the given function can be expressed as... Problem 41SE: For the following exercises, find functions f(x)andg(x) so the given function can be expressed as... Problem 42SE: For the following exercises, use the graph of f, shown in Figure 4, and g, shown in Figure 5, to... Problem 43SE: For the following exercises, use the graph of f, shown in Figure 4, and g, shown in Figure 5, to... Problem 44SE: For the following exercises, use the graph of f, shown in Figure 4, and g, shown inFigure 5, to... Problem 45SE: For the following exercises, use the graph of f, shown in Figure 4, and g, shown in Figure 5, to... Problem 46SE: For the following exercises, use the graph of f, shown in Figure 4, and g, shown in Figure 5, to... Problem 47SE: For the following exercises, use the graph of f, shown in Figure 4, and g, shown in Figure 5, to... Problem 48SE: For the following exercises, use the graph of f, shown in Figure 4, and g, shown in Figure 5, to... Problem 49SE: For the following exercises, use the graph of f, shown in Figure 4, and g, shown in Figure 5, to... Problem 50SE: For the following exercises, use the graph of f(x), shown in Figure 6,g(x), shown in Figure 7, and... Problem 51SE: For the following exercises, use the graph of f(x), shown in Figure 6, g(x), shown in Figure 7, and... Problem 52SE: For the following exercises, use the graph of f(x), shown in Figure 6, g(x), shown in Figure 7, and... Problem 53SE: For the following exercises, use the graph of f(x), shown in Figure 6, g(x), shown in Figure 7, and... Problem 54SE: For the following exercises, use the graph of f(x), shown in Figure 6, g(x), shown in Figure 7, and... Problem 55SE: For the following exercises, use the graph of f(x), shown in Figure 6, g(x), shown in Figure 7, and... Problem 56SE: For the following exercises, use the graph of f(x), shown in Figure 6, g(x), shown in Figure 7, and... Problem 57SE: For the following exercises, use the graph of f(x), shown in Figure 6, g(x), shown in Figure 7, and... Problem 58SE: For the following exercises, use the function values for f and g shown in Table 3 to evaluate each... Problem 59SE: For the following exercises, use the function values for f and g shown in Table 3 to evaluate each... Problem 60SE: For the following exercises, use the function values for f and g shown in Table 3 to evaluate each... Problem 61SE: For the following exercises, use the function values for f and g shown in Table 3 to evaluate each... Problem 62SE: For the following exercises, use the function values for f and g shown in Table 3 to evaluate each... Problem 63SE: For the following exercises, use the function values for f and g shown in Table 3 to evaluate each... Problem 64SE: For the following exercises, use the function values for f and g shown in Table 3 to evaluate each... Problem 65SE: For the following exercises, use the function values for f and g shown in Table 3 to evaluate each... Problem 66SE: For the following exercises, use the function values for f and g shown in Table 4 to evaluate each... Problem 67SE: For the following exercises, use the function values for f and g shown in Table 4 to evaluate each... Problem 68SE: For the following exercises, use the function values for f and g shown in Table 4 to evaluate each... Problem 69SE: For the following exercises, use the function values for f and g shown in Table 4 to evaluate each... Problem 70SE: For the following exercises, use the function values for f and g shown in Table 4 to evaluate each... Problem 71SE: For the following exercises, use the function values for f and g shown in Table 4 to evaluate each... Problem 72SE: For the following exercises, use each pair of functions to find f(g(0))andg(f(0)) . 72.... Problem 73SE: For the following exercises, use each pair of functions to find f(g(0))andg(f(0)) . 73.... Problem 74SE: For the following exercises, use each pair of functions to find f(g(0))andg(f(0)) . 74.... Problem 75SE: For the following exercises, use each pair of functions to find f(g(0))andg(f(0)) . 75.... Problem 76SE: For the following exercises, use the functions f(x)=2x2+1 and f(x)=3x+5 to evaluate or find the... Problem 77SE: For the following exercises, use the functions f(x)=2x2+1 and f(x)=3x+5 to evaluate or find the... Problem 78SE: For the following exercises, use the functions f(x)=2x2+1 and f(x)=3x+5 to evaluate or find the... Problem 79SE: For the following exercises, use the functions f(x)=2x2+1 and f(x)=3x+5 to evaluate or find the... Problem 80SE: For the following exercises, use f(x)=x3+1 and g(x)=x13 . Find (fg)(x) and (gf)(x) . Compare the two... Problem 81SE: For the following exercises, use f(x)=x3+1 and g(x)=x13 . Find (fg)(2) and (gf)(2) . Problem 82SE: For the following exercises, use f(x)=x3+1 and g(x)=x13 . What is the domain of (gf)(x) ? Problem 83SE: For the following exercises, use f(x)=x3+1 and g(x)=x13 . What is the domain of (fg)(x) ? Problem 84SE: For the following exercises, use f(x)=x3+1 and g(x)=x13 . Let f(x)=1x . a. Find (ff)(x) . b. Is... Problem 85SE: For the following exercises, let F(x)=(x+1)5,f(x)=x5,andg(x)=x+1 . 85. True or False: (gf)(x)=F(x) . Problem 86SE: For the following exercises, let F(x)=(x+1)5,f(x)=x5,andg(x)=x+1 . 86. True or False: (fg)(x)=F(x) . Problem 87SE: For the following exercises, Find the composition when f(x)=x2+2 for all x0 and g(x)=x2 . 87.... Problem 88SE: For the following exercises, Find the composition when f(x)=x2+2 for all x0 and g(x)=x2 . 88.... Problem 89SE: For the following exercises, Find the composition when f(x)=x2+2 for all x0 and g(x)=x2 . 89.... Problem 90SE: The function D(p) gives the number of items that will be demanded when the price is p. The... Problem 91SE: The function A(d) gives the pain level on a scale of 0 to 10 experienced by a patient with d... Problem 92SE: A store offers customers a 30% discount on the price x of selected items. Then, the store takes off... Problem 93SE: A rain drop hitting a lake makes a circular ripple. If the radius, in inches, grows as a function of... Problem 94SE: A forest fire leaves behind an area of grass burned in an expanding circular pattern. If the radius... Problem 95SE: Use the function you found in the previous exercise to find the total area burned after 5 minutes. Problem 96SE: The radius r, in inches, of a spherical balloon isrelated to the volume, V, by r(V)=3V43 . Air is... Problem 97SE: The number of bacteria in a refrigerated food product is given by N(T)=23T256T+1,3T33 ,where T is... format_list_bulleted
