Problem 1SP: Given mx=xandnx=4,findm+nx. Problem 2SP Problem 3SP Problem 4SP: Givenfx=4x2,a.Findfx+h.b.Findthedifferencequotient,fx+hfxh. Problem 5SP: Givenfx=x25x+2,a.Findfx+h.b.Findthedifferencequotient,fx+hfxh. Problem 6SP Problem 7SP: Given fx=3x+4andgx=1x1, write a rule for each function and write the domain in interval notation.... Problem 8SP Problem 9SP: Given rx=xx+1andtx=5x29,findrtx and write the domain in interval notation. Problem 10SP: An artist shops online for tubes of watercolor paint. The cost is $16 for each 14-ml tube. a. Write... Problem 11SP Problem 12SP: Refer to the functions fandg pictured in Example 12. Evaluate the functions at the given values of x... Problem 1PE Problem 2PE: The function fg is defined by fgx= provided that 0. Problem 3PE: Let h represent a positive real number. Given a function defined by y=fx, the difference quotient is... Problem 4PE: The composition of fandg, denoted by fg, is defined by fgx=. Problem 5PE: For Exercises 5-8, find f+gx and identify the graph of f+g . (See Example 1) fx=xandgx=3 Problem 6PE: For Exercises 5-8, find f+gx and identify the graph of f+g . (See Example 1) fx=xandgx=4 Problem 7PE: For Exercises 5-8, find f+gx and identify the graph of f+g . (See Example 1) fx=x2andgx=4 Problem 8PE: For Exercises 5-8, find f+gx and identify the graph of f+g . (See Example 1) fx=x2andgx=3 Problem 9PE: For Exercises 9-18, evaluate the functions for the given values of x. (See Example 2)... Problem 10PE: For Exercises 9-18, evaluate the functions for the given values of x. (See Example 2)... Problem 11PE: For Exercises 9-18, evaluate the functions for the given values of x. (See Example 2)... Problem 12PE: For Exercises 9-18, evaluate the functions for the given values of x. (See Example 2)... Problem 13PE: For Exercises 9-18, evaluate the functions for the given values of x. (See Example 2)... Problem 14PE: For Exercises 9-18, evaluate the functions for the given values of x. (See Example 2)... Problem 15PE: For Exercises 9-18, evaluate the functions for the given values of x. (See Example 2)... Problem 16PE: For Exercises 9-18, evaluate the functions for the given values of x. (See Example 2)... Problem 17PE: For Exercises 9-18, evaluate the functions for the given values of x. (See Example 2)... Problem 18PE: For Exercises 9-18, evaluate the functions for the given values of x. (See Example 2)... Problem 19PE: For Exercises 19-26, refer to the functions r,p,andq. Find the indicated function and write the... Problem 20PE: For Exercises 19-26, refer to the functions r,p,andq. Find the indicated function and write the... Problem 21PE: For Exercises 19-26, refer to the functions r,p,andq. Find the indicated function and write the... Problem 22PE: For Exercises 19-26, refer to the functions r,p,andq. Find the indicated function and write the... Problem 23PE: For Exercises 19-26, refer to the functions r,p,andq. Find the indicated function and write the... Problem 24PE: For Exercises 19-26, refer to the functions r,p,andq. Find the indicated function and write the... Problem 25PE: For Exercises 19-26, refer to the functions r,p,andq. Find the indicated function and write the... Problem 26PE: For Exercises 19-26, refer to the functions r,p,andq. Find the indicated function and write the... Problem 27PE: For Exercises 27-32, refer to functions s,t,andv. Find the indicated function and write the domain... Problem 28PE: For Exercises 27-32, refer to functions s,t,andv. Find the indicated function and write the domain... Problem 29PE: For Exercises 27-32, refer to functions s,t,andv. Find the indicated function and write the domain... Problem 30PE: For Exercises 27-32, refer to functions s,t,andv. Find the indicated function and write the domain... Problem 31PE: For Exercises 27-32, refer to functions s,t,andv. Find the indicated function and write the domain... Problem 32PE: For Exercises 27-32, refer to functions s,t,andv. Find the indicated function and write the domain... Problem 33PE: For Exercises 33-36, a function is given. (See Example 4-5) a.Findfx+h.b.Findfx+hfxh. fx=5x+9 Problem 34PE: For Exercises 33-36, a function is given. (See Example 4-5) a.Findfx+h.b.Findfx+hfxh. fx=8x+4 Problem 35PE: For Exercises 33-36, a function is given. (See Example 4-5) a.Findfx+h.b.Findfx+hfxh. fx=x2+4x Problem 36PE: For Exercises 33-36, a function is given. (See Example 4-5) a.Findfx+h.b.Findfx+hfxh. fx=x23x Problem 37PE: For Exercises 37-44, find the difference quotient and simplify. (See Example 4-5) fx=2x+5 Problem 38PE: For Exercises 37-44, find the difference quotient and simplify. (See Example 4-5) fx=3x+8 Problem 39PE: For Exercises 37-44, find the difference quotient and simplify. (See Example 4-5) fx=5x24x+2 Problem 40PE: For Exercises 37-44, find the difference quotient and simplify. (See Example 4-5) fx=4x22x+6 Problem 41PE: For Exercises 37-44, find the difference quotient and simplify. (See Example 4-5) fx=x3+5 Problem 42PE: For Exercises 37-44, find the difference quotient and simplify. (See Example 4-5) fx=x32 Problem 43PE: For Exercises 37-44, find the difference quotient and simplify. (See Example 4-5) fx=1x Problem 44PE: For Exercises 37-44, find the difference quotient and simplify. (See Example 4-5) fx=1x+2 Problem 45PE: Given fx=4x, a. Find the difference quotient (do not simplify). b. Evaluate the difference quotient... Problem 46PE: Given fx=12x, a. Find the difference quotient (do not simplify). b. Evaluate the difference quotient... Problem 47PE: For Exercises 47-62, refer to functions f,g,andh. Evaluate the functions for the given values of x.... Problem 48PE: For Exercises 47-62, refer to functions f,g,andh. Evaluate the functions for the given values of x.... Problem 49PE: For Exercises 47-62, refer to functions f,g,andh. Evaluate the functions for the given values of x.... Problem 50PE: For Exercises 47-62, refer to functions f,g,andh. Evaluate the functions for the given values of x.... Problem 51PE: For Exercises 47-62, refer to functions f,g,andh. Evaluate the functions for the given values of x.... Problem 52PE: For Exercises 47-62, refer to functions f,g,andh. Evaluate the functions for the given values of x.... Problem 53PE: For Exercises 47-62, refer to functions f,g,andh. Evaluate the functions for the given values of x.... Problem 54PE: For Exercises 47-62, refer to functions f,g,andh. Evaluate the functions for the given values of x.... Problem 55PE: For Exercises 47-62, refer to functions f,g,andh. Evaluate the functions for the given values of x.... Problem 56PE: For Exercises 47-62, refer to functions f,g,andh. Evaluate the functions for the given values of x.... Problem 57PE: For Exercises 47-62, refer to functions f,g,andh. Evaluate the functions for the given values of x.... Problem 58PE: For Exercises 47-62, refer to functions f,g,andh. Evaluate the functions for the given values of x.... Problem 59PE: For Exercises 47-62, refer to functions f,g,andh. Evaluate the functions for the given values of x.... Problem 60PE: For Exercises 47-62, refer to functions f,g,andh. Evaluate the functions for the given values of x.... Problem 61PE: For Exercises 47-62, refer to functions f,g,andh. Evaluate the functions for the given values of x.... Problem 62PE: For Exercises 47-62, refer to functions f,g,andh. Evaluate the functions for the given values of x.... Problem 63PE: Given fx=2x+4andgx=x2, a.Findfgx.b.Findgfx.c.Istheoperationoffunctionco,positioncommulative? Problem 64PE: Given kx=3x+1andmx=1x, a.Findkmx.b.Findmkx.c.Iskmx=mkx? Problem 65PE: For Exercises 65-76, refer to function to functions m,n,p,q,andr. Find the indicated function and... Problem 66PE: For Exercises 65-76, refer to function to functions m,n,p,q,andr. Find the indicated function and... Problem 67PE: For Exercises 65-76, refer to function to functions m,n,p,q,andr. Find the indicated function and... Problem 68PE: For Exercises 65-76, refer to function to functions m,n,p,q,andr. Find the indicated function and... Problem 69PE: For Exercises 65-76, refer to function to functions m,n,p,q,andr. Find the indicated function and... Problem 70PE: For Exercises 65-76, refer to function to functions m,n,p,q,andr. Find the indicated function and... Problem 71PE: For Exercises 65-76, refer to function to functions m,n,p,q,andr. Find the indicated function and... Problem 72PE: For Exercises 65-76, refer to function to functions m,n,p,q,andr. Find the indicated function and... Problem 73PE: For Exercises 65-76, refer to function to functions m,n,p,q,andr. Find the indicated function and... Problem 74PE Problem 75PE: For Exercises 65-76, refer to function to functions m,n,p,q,andr. Find the indicated function and... Problem 76PE: For Exercises 65-76, refer to function to functions m,n,p,q,andr. Find the indicated function and... Problem 77PE: For Exercises 77-80, find fgx and write the domain in interval notation. (See Example 9)... Problem 78PE: For Exercises 77-80, find fgx and write the domain in interval notation. (See Example 9)... Problem 79PE: For Exercises 77-80, find fgx and write the domain in interval notation. (See Example 9)... Problem 80PE: For Exercises 77-80, find fgx and write the domain in interval notation. (See Example 9)... Problem 81PE: Given fx=1x2,findffx and write the domain in interval notation. Problem 82PE: Given gx=x3,findggx and write the domain in interval notation. Problem 83PE Problem 84PE Problem 85PE: For Exercises 83-86, find the indicated functions. fx=2x+1gx=x2hx=x3 hgfx Problem 86PE Problem 87PE: A law office orders business stationery. The cost is $21.95 per box. (See Example 10) a. Write a... Problem 88PE: The cost to buy tickets online for a dance show is $60 per ticket. a. Write a function that... Problem 89PE: A bicycle wheel turns at a rate of 80 revolutions per minute (rpm). a. Write a function that... Problem 90PE: While on vacation in France, Sadie bought a box of almond croissants. Each croissant cost 2.40... Problem 91PE: For Exercises 91-98, find two functions fandg such that hx=fgx. (See Example 11) hx=x+72 Problem 92PE Problem 93PE: For Exercises 91-98, find two functions fandg such that hx=fgx. (See Example 11) hx=2x+13 Problem 94PE Problem 95PE: For Exercises 91-98, find two functions fandg such that hx=fgx. (See Example 11) hx=2x23 Problem 96PE Problem 97PE: For Exercises 91-98, find two functions fandg such that hx=fgx. (See Example 11) hx=5x+4 Problem 98PE Problem 99PE Problem 100PE: For Exercises 99-102, the graphs of two functions are shown. Evaluate the function at given value of... Problem 101PE Problem 102PE Problem 103PE: For Exercises 103-110, refer to the functions fandg and evaluate the functions for the given values... Problem 104PE: For Exercises 103-110, refer to the functions fandg and evaluate the functions for the given values... Problem 105PE: For Exercises 103-110, refer to the functions fandg and evaluate the functions for the given values... Problem 106PE: For Exercises 103-110, refer to the functions fandg and evaluate the functions for the given values... Problem 107PE Problem 108PE: For Exercises 103-110, refer to the functions fandg and evaluate the functions for the given values... Problem 109PE Problem 110PE Problem 111PE Problem 112PE: Consider a right circular cone with given height h. The volume of the cone as a function of its... Problem 113PE Problem 114PE Problem 115PE: Suppose that a function H gives the high temperature HxinoF for day x. Suppose that a function L... Problem 116PE Problem 117PE Problem 118PE: Given functions fandg, explain how to determine the domain of fgx. Problem 119PE Problem 120PE: Explain what the difference quotient represents. Problem 121PE Problem 122PE Problem 123PE: A car traveling 60 mph (88 ft/sec) undergoes a constant deceleration until it comes to rest... Problem 124PE: A car accelerates from 0 to 60 mph (88 ft/sec) in 8.8 sec. The distance dt (in ft) that the car... Problem 125PE: If a is b plus eight, and c is the square of a, write c as a function of b. Problem 126PE: If q is r minus seven, and s is the square of q, write s as a function of r. Problem 127PE: If x is twice y, and z is four less than x, write z as a function of y. Problem 128PE: If m is one-third of n, and p is two less than m, write p as a function of n. Problem 129PE: Given fx=4x2+13, define functions m,n,h,andk such that fx=mnhkx . Problem 130PE: Given fx=2x34, define functions m,n,h,andk such that fx=mnhkx . format_list_bulleted
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