1. [-/4 Points] DETAILS SPRECALC7 2.7.001. From the graphs of f and g in the figure, we find the following. (Assume that each point lies on the gridlines.) (f + g) (2) = (f - g) (2) = (fg) (2) = (2 ) (2) = Need Help? Read It 2. [-/2 Points] DETAILS SPRECALC7 2.7.002. By definition, (f o g)(x) = ? . So if g(5) = 7 and f(7) = 24, then (f o g)(5) = Need Help? Read It3. [-/2 Points] DETAILS SPRECALC7 2.7.003. MY If the rule of the function fis "add nine" and the rule of the function g is "multiply by 2," then the rule of fog is "(---Select-- #," and the rule of g of is "---Select--- 4 ." Need Help? Read It 4. [-/4 Points] DETAILS SPRECALC7 2.7.005. Let f and g be functions. (a) The function (f + g)(x) is defined for all values of x that are in the domain(s) of ---Select-- (b) The function (fg)(x) is defined for all values of x that are in the domain(s) of (---Select--- (c) The function (f/g)(x) is defined for all values of x that are in the domain(s) of (---Select--- # , and g(x) is not equal to Need Help? Read It Submit Answer 5. [-/2 Points] DETAILS SPRECALC7 2.7.006. Let f and g be functions. The composition (fo g)(x) is defined for all values of x for which x is in the domain of (---Select--- ) and g(x) is in the domain of ( ---Select--- 4) Need Help? Read ItFind f+ g, f 9, 1'9, and g and their domains. f(X) = x. 900 = x/E Find (f+ g)(x). U Find the domain of (f+ g)(x). (Enter your answer using interval notation.) U Find (f g)(x). U Find the domain of (f g)(x). (Enter your answer using interval notation.) U Find (fg)(x). U Find the domain of (fg)(x). (Enter your answer using interval notation.) U L" :1 D. f'\\ 'nI'm U A >, g(x) = x+7 Find (f+ g) (x). Find the domain of (f + g)(x). (Enter your answer using interval notation.) Find (f - g) (x). Find the domain of (f - g)(x). (Enter your answer using interval notation.) Find (fg) (x). Find the domain of (fg)(x). (Enter your answer using interval notation.) Find Find the domain of ()(x). (Enter your answer using interval notation.)8. [-/1 Points] DETAILS SPRECALC7 2.7.019. Find the domain of the function. (Enter your answer using interval notation.) h (x ) = (x - 2) -1/2 Need Help? Read It Watch It 9. [-/1 Points] DETAILS SPRECALC7 2.7.020.MI. Find the domain of the function. (Enter your answer using interval notation.) K(X) = VX +5 x - 1 Need Help? Read It Master It13. [-/2 Points] DETAILS SPRECALC7 2.7.029.MI. Use f(x) = 2x - 3 and g(x) = 5 - x2 to evaluate the expression. (a) (fog)(-2) (b) (go f) (-2) Need Help? Read It Watch It Master It 14. [-/2 Points] DETAILS SPRECALC7 2.7.031.MI. Use f(x) = 5x - 4 and g(x) = 2 - x2 to evaluate the expression. (a) (fog) (x) (b ) (go f) (x)15. [-/2 Points] DETAILS SPRECALC7 2.7.032. Use f(x) = 3x - 5 and g(x) = 2 - x2 to evaluate the expression. ( a ) ( fon) ( x ) (b) (gog) (x) Need Help? Read It 16. [-/1 Points] DETAILS SPRECALC7 2.7.034.MI. Use the given graphs of f and g to evaluate the expression. (Assume that each point lies on the gridlines.) g(f(0)) = 9Use the given graphs of f and g to evaluate the expression. (Assume that each point lies on the gridlines.) f(g(4)) = 42 Need Help? Read It Watch It Master It [-/1 Points] DETAILS SPRECALC7 2.7.037.MI. Use the given graphs of f and g to evaluate the expression. (Assume that each point lies on the gridlines.) (g o g) (1) = 19 1219. [-/1 Points] DETAILS SPRECALC7 2.7.038. Use the given graphs of f and g to evaluate the expression. (Assume that each point lies on the gridlines.) (fo f) (5) = Need Help? Read ItConsider the following functions. f(x)=2x+5, g(x)=6x1 Find (r0 g)(x). U Find the domain of (f0 g)(x). (Enter your answer using interval notation.) U Find (9 o f)(x). U Find the domain of (g 0 f)(x). (Enter your answer using interval notation.) U Find (r0 f)(x). U Find the domain of (f0 f)(x). (Enter your answer using interval notation.) U Find (9 g)(x). U Find the domain of (g 0 g)(x). (Enter your answer using interval notation.) U Consider the following functions. f(X) = x3 + 6. 90!) = 1/} Find (1'0 g)(x). U Find the domain of (f0 g)(x). (Enter your answer using interval notation.) U Find (9 o f)(x). U Find the domain of (g 0 f)(x). (Enter your answer using interval notation.) U Find (1'0 f)(x). U Find the domain of (f0 f)(x). (Enter your answer using interval notation.) U Find (9 900')- U Find the domain of (g 0 g)(x). (Enter your answer using interval notation.) U x x+7' f0!) = 90') = 5X - 7 Find (r0 g)(x). U Find the domain of (f0 g)(x). (Enter your answer using interval notation.) U Find (9 o f)(x). U Find the domain of (g 0 f)(x). (Enter your answer using interval notation.) U Find (r0 f)(x). U Find the domain of (f0 f)(x). (Enter your answer using interval notation.) U Find (9 0 g)(x). U Find the domain of (g 0 g)(x). (Enter your answer using interval notation.) U I I' WI U I f(x)=X:1. g(x)= Find (1'0 g)(x). E Find the domain of (f0 g)(x). (Enter your answer using interval notation.) U Find (9 o f)(x). E Find the domain of (g 0 f)(x). (Enter your answer using interval notation.) U Find (1'0 f)(x). U Find the domain of (f0 f)(x). (Enter your answer using interval notation.) E Find (9 0 g)(x). U Find the domain of (g 0 g)(x). (Enter your answer using interval notation.) U Find fog oh. f( x ) = x3 + 9, g(x) = x - 8, h(x) = vx Need Help? Read It Watch It [-/1 Points] DETAILS SPRECALC7 2.7.063. Express the function F in the form fog. (Enter your answers as a comma-separated list. Use non-identity functions for f(x) and g(x).) F(x) = (x - 3)7 (f ( x), g(x) ) = Need Help? Read It Watch It [-/1 Points] DETAILS SPRECALC7 2.7.065. Express the function G in the form fog. (Enter your answers as a comma-separated list. Use non-identity functions for f(x) and g(x).) G(X) = - X2 x2 + 3 (f (x ) , g(x ) ) = Need Help? Read It Watch ItExpress the function F in the form fog o h. (Enter your answers as a comma-separated list. Use non-identity functions for f(x), g(x) and h(x).) F(x ) = - 5 X2 + 2 (f ( x), g (x), h (x) ) = Need Help? Read It Watch It 28. [-/1 Points] DETAILS SPRECALC7 2.7.070. Express the function F in the form fog o h. (Enter your answers as a comma-separated list. Use non-identity functions for f(x), g(x) and h(x).) F(X) = V V x-9 (f ( x ), g( x) , h (x ) ) = Need Help? Read It