# Questions on Algebra: Functions, Domain, NOT graphing answered by real tutors!

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 Algebra: Functions, Domain, NOT graphing Solvers Lessons Answers archive Quiz In Depth

 Question 20373: For f(x)= 2x-5 and g(x)= 3-x , find (f (times) g)(-2) Click here to see answer by longjonsilver(2297)

 Question 20574: What does it mean to make y a function of X. For example y=x-3. This is one of my problems. So far this is what I came up with. y=x-3 I added 3 to both sides of the equation. Then I got the answer y+3=x and I wanted to know weather or not I changed y into a function of x. Click here to see answer by mmm4444bot(95)

 Question 20565: Is the following true or false? The set of whole numbers is closed under subtraction The set of whole numbers is closed under multiplication The set of whole numbers is closed under division Thanks, Teri Click here to see answer by askmemath(368)

 Question 20708: How you solve a problem with input and output nr. The problem is: 9,12,15,18... Click here to see answer by kapilsinghi(68)

 Question 20887: How do you find if it is a function or not a function. Click here to see answer by queenofit(120)

 Question 21909: ok! i have no earthly idea what anyone is talking about, i have final exams next week, i have a 46 in algebra right now, were in graphing and slopeing and stuff and i neeed some help. can anyone explain it simplier? Click here to see answer by queenofit(120)

 Question 21877: rewrite the equation in function form: -3x-4y=6 3/2(x-6y)=-8 Click here to see answer by algebrapro18(206)

 Question 22006: How do you find the domain and range Click here to see answer by Alwayscheerful(414)

 Question 22195: Find the inverse of the one to one function : f(x)= 2/7x + 3 Click here to see answer by stanbon(57242)

 Question 22233: 6(X+9)+9=-7{9X+5)+7x SOLUTION TO GET THE VALUE OF X = 6(X+9)+9= -7(9X+5}+ 7X 6X+54+9 = -63x-35+7X BY MULTIPLYING THE BRACKET OUT 6X+63X-7X = -35-54-9 BY COLLECTING THE LIKE TERMS BY ISOLATING THE UNKNOWN 62X = -98 X= -98/62 X= -1.58 WE CAN ALSO CHECK IF WE ARE RIGHT BY SUBTITUTING -1.58 IN THE EQUATION,IF WE DO SO THE LEFT HAND SIDE MUST EQUAL TO THE RIGHT HAND SIDE. Let's see. 6x+54+9= -63x-35+7x 6(-1.58)+54+9 = -63(-1.58)-35+7(-1.58) -9.48+54+9 = 99.54-35-11.06 53.52 = 53.48 54=54 SO OUR VALUE OF X is correct. Click here to see answer by MORUPHOSUOLALE(24)

 Question 22355: I need your help.... Given the function g(X)= X^2-X+1/X^2-4 a. g(O) b. g (a+h) don't simplify answer c. g (X) Thanks Click here to see answer by longjonsilver(2297)

 Question 21873: HOw is the graph of y=x^2-4 obtained from the graph of y=x^2? Click here to see answer by MORUPHOSUOLALE(24)

 Question 22418: what is the rule for: x y 27 -3 28 -2 29 -1 Click here to see answer by Ultimatemagic(23)

 Question 22495: what does this mean again? |3| and if it is -|6| when do you change the sign that is in front? Click here to see answer by queenofit(120)

 Question 22422: The points (0,3) and (3,5) lie on the graph of a linear function f. Find f(x) Click here to see answer by stanbon(57242)

 Question 22507: Find the slope of the graph of the linear function of f f(6) = -1, F(3)=8 I know the answer (-3) I just don't know how to get it. Click here to see answer by Earlsdon(6287)

 Question 22539: why is math so difficult some times and why am i such a retard. Click here to see answer by elima(1433)

 Question 22548: 16(7n+8)=-8(5n-(65)) this seems difficult but i came up with 240n=2600n can you explain what i did wrong Click here to see answer by wuwei96815(245)

 Question 22731: I need to see if I got this answer correct. -3xtothe 1/4power (y1/2power) (-2x1/2power y1/3 power) i got x5power y2power x0.49? help me Click here to see answer by Earlsdon(6287)

 Question 22668: Solve for x 16 - 3x = 2x Click here to see answer by WoWLeaky(10)

 Question 21826: I'm studying for the cbest test and unfortunatly when I was in school I never did study algebra and I ran in to a few that really stumped me and well I do not think i can pass this test if i do not learn how they find out what y or x is. My son is cute he is trying to teach me but I think that this way I can get help from here also. if not thats ok I can always go get a bunch of books. julie Click here to see answer by WoWLeaky(10)

 Question 22835: Okay. This is a relation (set of ordered pairs) that I have to write an equation for... (2,12)(1,48)(-1,48)(-2,12)(-4,3) x : 2,1,-1,-2,-4 y : 12, 48, 48, 12, 3 Okay, I'm supposed to divide the range difference by the domain difference. Well, obviously I have more than one difference so : range difference : 36, 0, 9 domain difference : 1, 2 So would I divide the 36/1 = 36, 0/2 = 0, and then...9/1??? Or am I going about this entirely wrong? (like I think I am) Click here to see answer by stanbon(57242)

 Question 22842: the quotient when 3 more than a number is divided by 3 less than that same number Click here to see answer by venugopalramana(3286)

 Question 22834: I believe this would be the best place to ask...Okay, this is a relation (set of ordered pairs) that I have to write an equation for. The set is : (-3,10)(-2,5)(-1,2)(0,1)(1,2)(2,5)(3,10) x : -3, -2, -1, 0, 1, 2, 3 y : 10, 5, 2, 1, 2, 5, 10 I'm supposed to divide the range differences by the domain differences : range difference : 5, 3 1 domain difference : 1 But, if I divide 5/1, 3/1 and 1/1, I end up with 5, 3 and 1, as any number divided by 1 is that number. So where do I go from here and how do I get there??? Click here to see answer by venugopalramana(3286)

 Question 22602: If f(x)=3x+11, what is the value of (f^-1 o f)(2)....I don't even know where to start on this one!!! Click here to see answer by venugopalramana(3286)

 Question 22948: I have an extra credit project due soon and I was in need of some help. Here is the question. 1. Find the minimum and maximum values of the objective quantity. 5x + 2y is less than or = to -17 3x - 4y is greater than or = to -5 x + y is greater than or = to -7 x - y = -1 f(x,y) = 6x + 11y ~* That is the order that it is in on the sheet. I dont even know where to start at!! I think that this has something to do w/ functions though. Any help is really appreciated. ~* Thanks -- Sara ~* Click here to see answer by stanbon!(97)

 Question 22984: Solve the system of linear equations using the Gauss-Jordan elimination method. x-2y=8 3x+4y=4 Click here to see answer by stanbon!(97)

 Question 22896: Determine the Domain of the function: Granger is a growing mid-western town. The population of Granger can be approximated by the function P(t)=210t + 2500, where t is the number of years since 1985. A. {t| t is an integer and 0<(or equal to)t<(or equal to)2500} B. {t|t is a real number} C. {t|t>(or equal to)0 D. {t|0 <(or equal to) t <(or equal to)210 Click here to see answer by venugopalramana(3286)

 Question 21859: How do you tell if a table or if a graph represents a function? Well, LET THE TABLE OR GRAPH SHOW X AND Y...WE SHALL SEE HOW OR WHEN WE SAY Y=F(X).LET THE VALUES OF X AND Y BE AS SHOWN BELOW X....A.....B......C......D......E Y....P.....Q......Q......R......S.....T....U....V SOME TIMES THEY ARE SHOWN AS ORDERED PAIRS (A,P),(B,Q),(C,Q),(D,R),(E,S).UNRELATED ELEMENTS LIKE T,U,V ARE LEFT ALONE. TWO QUESTIONS SHOULD BE ANSWERED WITH YES IF WE WERE TO CALL Y=F(X)... Q.1. IS EVERY ELEMENT OR VALUE UNDER X HAVE A CORRESPONDING ELEMENT OR VALUE UNDER Y..........WE FIND IT IS SO IN THIS CASE ...SO YES.NOTE THAT EVERY ELEMENT IN X SHOULD HAVE A CORRESPONDING ELEMENT(CALLED IMAGE) IN Y ,FOR Y=F(X),BUT NOT NECESSARILY THE OTHERWAY ROUND..WE FIND HERE THAT T,U,V IN Y ARE NOT ASSOCIATED WITH ANY ELEMENT IN X.THAT IS O.K.BUT SUPPOSE THERE IS ONE ELEMENT SAY F IN X WHICH IS NOT ASSOCIATED WITH ANY ELEMENT IN Y THEN IT IS NOT A FUNCTION. Q.2.ONE ELEMENT IN X CANNOT HAVE MORE THAN ONE IMAGE IN Y.WE FIND IT TO BE SO IN THIS CASE SO YES...NOTE AGAIN HERE 2 ELEMENTS IN A CAN HAVE SAME IMAGE IN Y AS IN THIS CASE BOTH B AND C HAVE SAME IMAGE Q...THAT IS O.K. BUT NOT THE OTHERWAY ROUND...THAT IS A CANNOT HAVE P AND ANOTHER SAY T AS ITS IMAGE..THAT IS IMAGE OF EVERY ELEMENT IN X SHALL BE UNIQUE. THAT IS ALL IF THESE 2 QUESTIONS ARE ANSWERED IN YES THEN Y=F(X), does that help you understand better? Click here to see answer by venugopalramana(3286)
 Question 21859: How do you tell if a table or if a graph represents a function? Well, LET THE TABLE OR GRAPH SHOW X AND Y...WE SHALL SEE HOW OR WHEN WE SAY Y=F(X).LET THE VALUES OF X AND Y BE AS SHOWN BELOW X....A.....B......C......D......E Y....P.....Q......Q......R......S.....T....U....V SOME TIMES THEY ARE SHOWN AS ORDERED PAIRS (A,P),(B,Q),(C,Q),(D,R),(E,S).UNRELATED ELEMENTS LIKE T,U,V ARE LEFT ALONE. TWO QUESTIONS SHOULD BE ANSWERED WITH YES IF WE WERE TO CALL Y=F(X)... Q.1. IS EVERY ELEMENT OR VALUE UNDER X HAVE A CORRESPONDING ELEMENT OR VALUE UNDER Y..........WE FIND IT IS SO IN THIS CASE ...SO YES.NOTE THAT EVERY ELEMENT IN X SHOULD HAVE A CORRESPONDING ELEMENT(CALLED IMAGE) IN Y ,FOR Y=F(X),BUT NOT NECESSARILY THE OTHERWAY ROUND..WE FIND HERE THAT T,U,V IN Y ARE NOT ASSOCIATED WITH ANY ELEMENT IN X.THAT IS O.K.BUT SUPPOSE THERE IS ONE ELEMENT SAY F IN X WHICH IS NOT ASSOCIATED WITH ANY ELEMENT IN Y THEN IT IS NOT A FUNCTION. Q.2.ONE ELEMENT IN X CANNOT HAVE MORE THAN ONE IMAGE IN Y.WE FIND IT TO BE SO IN THIS CASE SO YES...NOTE AGAIN HERE 2 ELEMENTS IN A CAN HAVE SAME IMAGE IN Y AS IN THIS CASE BOTH B AND C HAVE SAME IMAGE Q...THAT IS O.K. BUT NOT THE OTHERWAY ROUND...THAT IS A CANNOT HAVE P AND ANOTHER SAY T AS ITS IMAGE..THAT IS IMAGE OF EVERY ELEMENT IN X SHALL BE UNIQUE. THAT IS ALL IF THESE 2 QUESTIONS ARE ANSWERED IN YES THEN Y=F(X), does that help you understand better? Click here to see answer by ushergurl(1)

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