3256 PM Wed Sep 14 on. 1 989%- webassignhet l. Submit Answer 29. [40.23 Points] DETAILS SPRECALC7 2.7.012. 0/5 Submissions Used MY NOTES ASK YOUR TEACHER Consider the following functions. f(x) = x2 + 7x, g(x) = 8x2 1 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 (5)0\" Find the domain of (L)(x). (Enter your answer using interval notation.) 9 Need Help? _' 30. [-10.23 Points] DETAILS SPRECALC7 2.7.013. 0/5 Submissions Used MY NOTES ASK YOUR TEACHER Find f+ g, f g, fg, and f/g and their domains. f(X)= Viex2, 9(X)= VX+2 Find (r+ g)(x). Find the domain of (f + g)(x). (Enter your answer using interval notation.) Find (r- g)(X). Find the domain of (f g)(x). (Enter your answer using interval notation.) The graph of a function f is given. Sketch the graphs of the following transformations of f. (a) y = f(4x) y 1 O O (b) y = f(1/4x) O O O O15. [-l0.23 Points] DETAILS SPRECALC7 2.6.048. 0/5 Submissions Used MY NOTES ASK YOUR TEACHER Sketch the graph of the function, not by plotting points, but by starting with the graph of a standard function and applying transformations. y=4\\/X+S Y 10 5 / 4....i........i....t_x 4....1........|....L_x 10 -5 5 10 10 -5 5 10 5 -5 10 -10 0 Need Help? _ 16. [-/0.23 Points] DETAILS SPRECALC7 2.6.509.XP. 0/5 Submissions Used MY NOTES ASK YOUR TEACHER A function fis given, and the indicated transformations are applied to its graph. Write the equation for the final transformed graph. f(x) = x3; shift downward 3 units. y: Need Help? 17. [l0.23 Points] DETAILS SPRECALC7 2.6.056. 0/5 Submissions Used MY NOTES ASK YOUR TEACHER A function fis given, and the indicated transformations are applied to its graph. Write the equation for the final transformed graph. f(X) = W; shift 8 units to the right y: Need Help? 18. [l0.23 Points] DETAILS SPRECALC7 2.6.057. 0/5 Submissions Used MY NOTES ASK YOUR TEACHER A function fis given, and the indicated transformations are applied to its graph (in the given order). Write the equation for the final transformed graph. f(x) = |x| ; shift 4 units to the left and shift downward 9 units Need Help? 3:56 PM Wed Sep 14 . . . 1 89% webassign.net a 30. [-/0.23 Points] DETAILS SPRECALC7 2.7.013. 0/5 Submissions Used MY NOTES ASK YOUR TEACHER Find f + g, f - g, fg, and f/g and their domains. f( x ) = V 16 - x2, g( x) = x+ 2 Find (f + 9) (x). Find the domain of (f + g)(x). (Enter your answer using interval notation.) Find (f - g)(x). Find the domain of (f - 9)(x). (Enter your answer using interval notation.) Find (fg)(x). Find the domain of (fg)(x). (Enter your answer using interval notation.) Find (x). Find the domain of (x). (Enter your answer using interval notation.) Need Help? Read It Watch It 31. [0.23/0.23 Points] DETAILS PREVIOUS ANSWERS SPRECALC7 2.7.017.MI. 1/5 Submissions Used MY NOTES ASK YOUR TEACHER Find the domain of the function. (Enter your answer using interval notation.) f ( x ) = V x+ v3 - x [0,3 Need Help? Read It Watch It Master It 32. [0.23/0.23 Points DETAILS PREVIOUS ANSWERS SPRECALC7 2.7.504.XP.MI. 1/5 Submissions Used MY NOTES ASK YOUR TEACHER3:57 PM Wed Sep 14 . . . 1 89% webassign.net a 34. [-/0.23 Points] DETAILS SPRECALC7 2.7.028.MI. 0/5 Submissions Used MY NOTES ASK YOUR TEACHER Use f(x) = 3x - 5 and g(x) = 4 - x2 to evaluate the expression. (a) (b ) g(g(3) ) Need Help? Read It Watch It Master It 35. [-/0.23 Points] DETAILS SPRECALC7 2.7.029.MI. 0/5 Submissions Used MY NOTES ASK YOUR TEACHER Use f(x) = 2x - 3 and g(x) = 5 - x2 to evaluate the expression. (a) (f . g) (-2) (b) (g . n) (-2) Need Help? Read it Watch It Master it 36. [-/0.23 Points] DETAILS SPRECALC7 2.7.030.MI. 0/5 Submissions Used MY NOTES ASK YOUR TEACHER Use f(x) = 2x - 5 and g(x) = 3 - x2 to evaluate the expression. ( a ) ( f . D) ( - 1 ) ) (g . g)(-1) Need Help? Read It Watch It Master It 37. [-/0.23 Points] DETAILS SPRECALC7 2.7.033.MI. 0/5 Submissions Used MY NOTES ASK YOUR TEACHER Use the given graphs of f and g to evaluate the expression. (Assume that each point lies on the gridlines.) f(g(4)) =19. [-/0.23 Points] DETAILS SPRECALC7 2.6.064.MI. 0/5 Submissions Used MY NOTES ASK YOUR TEACHER The graphs of f and g are given. Find a formula for the function g. g ( x ) = g f(x) = 2x3 +X 2 Need Help? Read it Watch It Master It 20. [-/0.23 Points] DETAILS SPRECALC7 2.6.066.MI. 0/5 Submissions Used MY NOTES ASK YOUR TEACHER The graphs of f and g are given. Find a formula for the function g. g (x ) = - 4 2 f(x) = 1x1 + X - 2 2 -2 Need Help? Read It Master It21. [-/0.23 Points] DETAILS SPRECALC7 2.6.068.MI. 0/5 Submissions Used MY NOTES ASK YOUR TEACHER The graphs of f and g are given. Find a formula for the function g. g (x) = R(x ) = x2 -6 - X -2 2 6 Need Help? Read It Master It 22. [-/0.23 Points] DETAILS SPRECALC7 2.6.070. 0/5 Submissions Used MY NOTES ASK YOUR TEACHER The graph of y = f (x) is given. Match each equation with its graph. 6 (1 ) 4 (4) f -5 (2) 5 -21 (3 ) ) y = =f (x ) ---Select--- (b) y = -f (x+ 4) ---Select--- (c) y = f ( x - 4)+3 ---Select--- (d) y = f (-x) ---Select---27. [-/0.23 Points] DETAILS SPRECALC7 2.7.001. 0/5 Submissions Used MY NOTES ASK YOUR TEACHER 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) = g Need Help? Read It 28. [-/0.23 Points] DETAILS SPRECALC7 2.7.002. 0/5 Submissions Used MY NOTES ASK YOUR TEACHER By definition, (f . g)(x) =? So if g(5) = 9 and f(9) = 21, then (f . g)(5) = Need Help? Read It V ? Submit Answer g(f (x)) f(g(x)) 29 MY NOTES ASK YOUR TEACHER