Problem 1E: From the graph of f and g in the figure, we find (f+g)(2)=(fg)(2)= (fg)(2)=(fg)(2)= Problem 2E Problem 3E: If the rule of the function f is “add one” and the rule of the function g is” multiply by 2,” then... Problem 4E: We can express the function in Exercise 3 algebraically as f(x)=g(x)= (fg)(x)=(gf)(x)= Problem 5E: Let f and g be functions. (a) The function (f+g)(x) is defined for all values of x that are in the... Problem 6E: Let f and g be functions. The composition (fg)(x) is defined for all wales of x for which x is in... Problem 7E Problem 8E Problem 9E: Combining Functions Find f+g,fg,fg,and,f/g and their domains. f(x)=x2+xg(x)=x2 Problem 10E: Combining Functions Find f+g,fg,fg,and,f/g and their domains. f(x)=3x2g(x)=x24 Problem 11E: Combining Functions Find f+g,fg,fg,and,f/g and their domains. f(x)=5xg(x)=x23x Problem 12E: Combining Functions Find f+g,fg,fg,and,f/g and their domains. f(x)=x2+2xg(x)=3x21 Problem 13E: Combining Functions Find f+g,fg,fg,and,f/g and their domains. f(x)=25x2g(x)=x+3 Problem 14E: Combining Functions find f+g,fg,fg, and ,fg,f/g and their domains. 14. f(x)=16x2,g(x)=x21 Problem 15E: Combining Function find f+g,fg,fg, and f/g And their domains. Problem 16E Problem 17E: Domain Find the domain of the function f(x)=x+3x Problem 18E: Domain find the domain of the function. 18. f(x)=x+41xx Problem 19E Problem 20E Problem 21E Problem 22E Problem 23E Problem 24E Problem 25E Problem 26E Problem 27E: Evaluating composition of function use f(x)=2x3 and g(x)=4x2 to evaluate the expression. (a) f(g(0))... Problem 28E: Evaluating composition of function use f(x)=2x3 and g(x)=4x2 to evaluate the expression. (a) f(f(2))... Problem 29E: Evaluating composition of functions use f(x)=2x3 and g(x)=4x2 to evaluate the expression. (a)... Problem 30E: Evaluating composition of function use f(x)=2x3 and g(x)=4x2 to evaluate the expression. (a) (ff)(1)... Problem 31E: Evaluating composition of functions use f(x)=2x3 and g(x)=4x2 to evaluate the expression. (a)... Problem 32E: Evaluating composition of functions use f(x)=2x3 and g(x)=4x2 to evaluate the expression. (a)... Problem 33E Problem 34E Problem 35E: Composition using a graph Use the given graph of f and g to evaluate the expression. (gf)(4) Problem 36E Problem 37E Problem 38E Problem 39E Problem 40E Problem 41E Problem 42E Problem 43E Problem 44E Problem 45E Problem 46E Problem 47E Problem 48E Problem 49E Problem 50E Problem 51E: Composition of Functions Find the functions fg , gf , ff , and gg and their functions.... Problem 52E Problem 53E Problem 54E Problem 55E: Composition of Functions Find the functions fg , gf , ff , and gg and their functions.... Problem 56E: Composition of Functions Find the functions fg , gf , ff , and gg and their functions.... Problem 57E Problem 58E Problem 59E Problem 60E Problem 61E Problem 62E Problem 63E Problem 64E Problem 65E Problem 66E Problem 67E Problem 68E Problem 69E Problem 70E Problem 71E Problem 72E Problem 73E: Composing linear functions the graphs of the functions f(x)=m1x+b1 f(x)=m2x+b2 are line with cloths... Problem 74E: Solving an Equation for an Unknown Function Suppose that g(x)=2x+1 h(x)=4x2+4x+7 Find a function f... Problem 75E Problem 76E Problem 77E Problem 78E: Inflating a balloon is spherical balloon is being inflated. The radius of the balloon is increasing... Problem 79E Problem 80E Problem 81E Problem 82E: Airplane Trajectory An airplane is flying at a speed of 350 mi/h at an altitude of one mile. The... Problem 83E Problem 84E format_list_bulleted