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

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## Tutors Answer Your Questions about Functions (FREE)

 Question 349941: A function is given below. Determine the average rate of change of the function between x = -5 and x = -1. h(x) = x 2 + 8x Click here to see answer by Fombitz(13828)

 Question 350282: What's the domain of f(x)=the square root 5x-30 Click here to see answer by edjones(7794)

 Question 350584: Differentiate the function z = (A/y^10) + B e^y Click here to see answer by Fombitz(13828)

 Question 350583: Differentiate the function y = (x^2 + 4x +3)/ ( x^1/2) Click here to see answer by Fombitz(13828)

 Question 350596: Find an equation of the tangent line to the curve y = x ( sq rt x) that is parallel to the line y = 1 + 3x Click here to see answer by Fombitz(13828)

 Question 350567: domain of h(x)=1/(x^(1/2)-5x) Click here to see answer by nyc_function(2741)

 Question 350743: Find the domain of the function: f(x) = sqrt(13-x) Answer choices: A. (negative infinity, 13) or (13, infinity) B. (sqrt(7) , infinity) C. (negative infinity, 13] D. (negative infinity, infinity) *notice that C. has 13] we are using interval notation for this lesson which kind of confuses me. Thanks so much! Click here to see answer by jim_thompson5910(29613)
 Question 350743: Find the domain of the function: f(x) = sqrt(13-x) Answer choices: A. (negative infinity, 13) or (13, infinity) B. (sqrt(7) , infinity) C. (negative infinity, 13] D. (negative infinity, infinity) *notice that C. has 13] we are using interval notation for this lesson which kind of confuses me. Thanks so much! Click here to see answer by haileytucki(390)

 Question 350703: Compute the average rate of change of the function on the given interval f(x) = x2 + 5x on [2, 4] Click here to see answer by Fombitz(13828)

 Question 350902: please help...can x=3 be in the domain for the square root of 2-x? 2x^2/x-3? .. Explain why or why not for each of the above functions? What are the domains of both functions Click here to see answer by Theo(3552)

 Question 350965: If f(x) = x2 + x and g(x) = x - 3, find f(g(7)). Click here to see answer by jim_thompson5910(29613)

 Question 351008: Given that f(x)= ^(x^2-9) and g(x)-2x+11 find (fog)(-3) Click here to see answer by stanbon(60771)

 Question 351411: When working with functions, you may think of f(x) as equal to y? Click here to see answer by rfer(13569)

 Question 351718: Find the domain of f(x)=sqrt(2x^2-3x-20) Click here to see answer by jim_thompson5910(29613)

 Question 351725: f(x)=-3x+4 and g(x)=-x^2+4x+1 what is g (-2) hey thanks alot for your time Click here to see answer by jim_thompson5910(29613)

 Question 351752: g(1/2)=-x^2+4x+1 what is g(1/2) thank you Click here to see answer by Fombitz(13828)

 Question 351838: f (10) (10)+6+3 - all under square root. the answer I got was 19 square root. but the book says the answer is 7. help please. Click here to see answer by Alan3354(34674)
 Question 351838: f (10) (10)+6+3 - all under square root. the answer I got was 19 square root. but the book says the answer is 7. help please. Click here to see answer by jim_thompson5910(29613)

 Question 351850: is f(x) = x3 + 10 a equation of nonlinear function? Also is written correctly? Click here to see answer by solver91311(18785)

 Question 351925: Find the domain of the function: sqrt 4x/x^2-64 Write the answer in interval notation. Click here to see answer by Fombitz(13828)

 Question 352060: A vending takes only nickels and dimes. There are 5 times as many dimes as nickels in the machine. The face value of the coins is \$4.40. How many of each coin are in the machine? My father figured the answer out in his head, but he's not able to teach me how to translate the answer into an equation so I can figure future problems out by myself. Thank you very much for your help. Click here to see answer by mananth(13127)

 Question 352269: Given the function f(x)=4x^2-x+6, calculate f(x+5). I know how to do functions, but this one has me stumped. I tried doing it the regular way, and it was wrong, so here are the answer choices. A)4x^2+4x+106 B)4x^2+9x+25 C)4x^2+39x+101 D)4x^2-39x-111 I really need help on this because if I do the problem, I can figure out the outside numbers, but I don't know how to get the middle number. Thanks in advance! Click here to see answer by jim_thompson5910(29613)

 Question 352293: An object is thrown straight up from the top of a 40 foot building at an initial rate of 72 feet per second. a) Write the position function indicated. b) Find the objects maximum height. c) When does the object hit the ground? Hint: s(t)=0 d) When is it 80 feet above the ground? Hint: s(t)=80 Click here to see answer by scott8148(6628)

 Question 352529: For f(x) = x2 – 64 and g(x) = 2x + 3, what is the domain of f - g? Click here to see answer by robertb(4012)

 Question 352531: Is the following correspondence a function? Domain: All students attending Laughlin Community College Correspondence: Each student's Social Security Number Range: A set of Social Security Numbers Click here to see answer by robertb(4012)

 Question 352445: r-2x=14 for x V=1/3bh for b 2x+a=4 for x m-2.7=-1.5+1 3(q-2)+2=5q-7-2q Please help me!!!! I dont know this. THANK YOU Click here to see answer by ewatrrr(11146)

 Question 352507: f(x)= x cubed-2 : Give the domain of each function. Click here to see answer by Fombitz(13828)

 Question 352624: Given two functions f(x)=2x-5 and g(x)=x^2. Are the following statements true or false. Could you explain as to how you got the answer. And if my answers are correct. a) f(x) + g(x) = g(x) + f(x) My answer gx^2 +2fx-5f b) f(x) - g(x) = g(x) - f(x) Not sure c) f(2) + f(3) = f(5) My answer f(2)(2x-5)+f(3)(2x-5)=10fx-25f d) f(0) is always equal to zero. My answer 0 zero Click here to see answer by CharlesG2(828)

 Question 352622: Given the linear function f(x)=-1/2x -4 a) Find f(-4). My answer is -9/2. b) Determine the coordinates of the x-intercept. My answer is x=-1/2. c) Determine the coordinates of the y-intercept. My answer is no y intercept. d) Explain the difference between the x-intercept and the y-intercept. Not sure as to this answer. d) Determine the slope. My answer is m=0, b=-9/2. e) Determine the slope of a line perpendicular to this line. Not sure If you can help me as to if it's right and explain the ones I did not do, and how you solved it. Thanks Click here to see answer by Alan3354(34674)

 Question 353043: one and one half of a number, c Click here to see answer by solver91311(18785)
 Question 353043: one and one half of a number, c Click here to see answer by stanbon(60771)

 Question 353166: decide whether the pair of lines is parallel, perpendicular, or neither 5x+3y=8 5x+3y=6 I come up with they are parallel is that correct? Click here to see answer by CharlesG2(828)

 Question 353389: 4(x+5) - 5(2x-1) = x-24 Click here to see answer by rfer(13569)

 Question 353549: find the derivative of the function using the chain rule y = cos (a^3 + x^3) Click here to see answer by Fombitz(13828)

 Question 353638: help me solve my math question Click here to see answer by sofiyac(946)

 Question 353157: find the indicated outputs for f(x)=4xsquare-2x Click here to see answer by Fombitz(13828)

 Question 353161: soybean meal is 12%protein, cornmeal is 6% protein, how many poinds of each should you mix together in order to get 240lb mixture that is 7%protein? 12x+6x-7=240? Click here to see answer by Fombitz(13828)

 Question 353678: f(x)=2-6x,g(x)=-8+6 find (f+g)(x) Click here to see answer by stanbon(60771)

 Question 353769: Please Please help me with this problem! I have been trying to get the last answer for about a week and have not been able to figure it out for the life of me. What am I missing? I have tried the third problem so many times that I am not even sure what I originally thought the answer was. I was able to figure out the first, second, and fourth answers but not the third. In a well known story the inventor of the game of chess was asked by his well pleased King what reward he desired. "Oh, not much, your majesty", the inventor responded, "just place a grain of rice on the first square of the board, 2 on the next, 4 on the next, and so on, twice as many on each square as on the preceding one. I will give this rice to the poor." (For the uninitiated, a chess board has 64 squares.) The king thought this a modest request indeed and ordered the rice to be delivered. Let f(n) denote the number of rice grains placed on the first n squares of the board. So clearly, f(1)=1, f(2) = 1+2 = 3, f(3)= 1+ 2 + 4 =7, and so on. How does it go on? Compute the next two values of f(n): f(4) =___ ~ f(5) =___ ~ Ponder the structure of this summation and then enter an algebraic expression that defines f(n) =____ as a function of n. Supposing that there are 25,000 grains of rice in a pound, 2000 pounds in a ton, and 6 billion people on earth, the inventor's reward would work out to approximately ____tons of rice for every person on the planet. Clearly, all the rice in the kingdom would not be enough to begin to fill that request. The story has a sad ending: feeling duped, the king caused the inventor of chess to be beheaded. Here are the answers I have so far: 1. 15 2. 31 3. ? 4. 61.4819 Click here to see answer by stanbon(60771)

 Question 353689: (g o f)(x):f(x)=-3x+2,g(x)=5X+7 i needto find the indicated composite for the pair of functions....really appreciate your time and help! Click here to see answer by Fombitz(13828)

 Question 353799: Off 12 eggs in a refrigerator, 2 are bad. From these, 4 eggs are chosen at random to make a cake. What are the probabilities that? a. Exactly one is bad. b. At least one is bad. Click here to see answer by sudhanshu_kmr(1152)

 Question 353919: Assessment 9-2A p. 550#16 16. Four blue socks, four white socks, and four gray socks are mixed in a drawer. You pull out two socks, one at a time, without looking. a. Draw a tree diagram along with the possible outcomes and the probabilities of each branch. b. What is the probability of getting a pair of socks of the same color? c. What is the probability of getting two gray socks? d. Suppose that, instead of pulling out two socks, you pull out four socks. What is the probability now of getting two socks of the same color? Click here to see answer by edjones(7794)

 Question 353940: . given the function h described by h(x) = x + 13, find each of the following. h(0) = _____ h(-18) = _____ h(-7) = ____ h(3) = _____ h(c + 6) = _____ Click here to see answer by jim_thompson5910(29613)

 Question 353970: for f(x)= x^2-64 and g(x)= 2x+3, what is the domain of f-g? Click here to see answer by Fombitz(13828)

 Question 354514: Consider the function f(x)=3x-5 and let f^n=fofofof....of where the composition is done n times. Find h(x)=f^n(x) Click here to see answer by robertb(4012)