Need the steps for question f. No need for explanation just need the steps

Assignment 1. Consider functions f and g defined for all real numbers. Partial graphs of the functions are shown on the grid. Both functions have integer values when x is an integer. a) Complete the table above for (fg)(x). 10 * A(x) g(x) (fg)(x) 14 - 6 -2 -1 4 0 6 2 6 2 4 3 bo - b -2 - 14 b) Plot the points from the table which will fit on the grid and complete the sketch of y = (fg)(x) for x E R. Functions and Relations Lesson #3: Operations with Functions - Part Two 19 c) The functions f and g above are f(x) = 2 + x and g(x) = 3 -x. Write a simplified expression for the function (fg)(x). F ( x ) .guys) -x2+x+6 (2+ ). (3-x ) 1 =159 (x )) = x2+x+6 d ) Use a graphing calculator to graph the function y = (fg)(x) from part c) and compare this graph with the graph from part b). Both Graphs have the same corre e) Determine the domain and range of the function (fg)(x). Domain = LXCRY Range = EyeRig =- us f) Calculate the value of (fg) -7 | in two different ways. g) How does the graph of (gf)(x) compare to the graph of (fg)(x)? Both the Graphs ase semilar to each other . mids In each case, sketch the partial Answer key: 1. ay, wy c) (fg)(x) = 6+x-x2 e) domain x ER , range ty Ty D) VE ( - 2) - 4-2)8 (-2) - (2 )(2) - 2 Or (8 (- 2 ) - 6 + (- 2 )- (-2) - 21 g) It is identical