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

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 Question 110076: The altitude to the hypotenuse of a right triangle divides the hypotenuse into segments whose lengths are in the ratio 3:2. The length of the altitude is 18 feet. Find: a.)the length of the hypotenuse in simplest radical form. b.)the length of the hypotenuse to the nearest inch. c.)the length of each leg of the triangle in simplest radical form. d.)the length of each leg of the triangle to the nearest inch. Click here to see answer by edjones(8007)

 Question 110223: what is the domain of f(x)= 2x+3 and what is the domian of g(x)= x-1? Click here to see answer by edjones(8007)

 Question 110300: What is the domain of State the domain of the following: a)f(x)= the square root of x-8 Answer: b)h(x)=3x squared + 5x-3 Answer: c)mx=5/x squared +9 Answer: d)l(x)=5x-4 Click here to see answer by wgunther(43)

 Question 110320: Find the domain of f(x)= x^2e^2x (this reads x squared e raised to the 2x) Click here to see answer by wgunther(43)

 Question 110633: This is an absolute value function word problem. I do not need help with the graphing part. Here is the problem: A car's speedometer reads 60 miles per hour. The error (E) in this measurement is E=|a-60| where (a) is the actual speed. Graph the function. For what value(s) of (a) will (E) be 2.5 miles per hour? Again, I already know how to graph it. I do not understand how to figure out the value(s) of (a) that make (E) equal 2.5 miles per hour. Can you help me, please? Thank you so much. :) Click here to see answer by scott8148(6628)

 Question 110715: How would you solve this problem? Given f(x)=x^2-4x+3 evaluate f(-1) This is how I worked the problem but I don't think I did something right. f(x)=x^2-4x+3 f(-1)=(-1)^2-4(-1)+3 =1-4(-1)+3 3+4+3 =10 answer: (-1,10) Click here to see answer by solver91311(20879)

 Question 110754: I'm having problems with finding the domain for rational funtions. (R(x)=2x^2-3)/4x Click here to see answer by stanbon(69061)

 Question 110828: Given f(x)=5x+2 and g(x)=2x+1 find (f-g)(-1) and (fg)(2) Click here to see answer by edjones(8007)

 Question 110923: f(x)= x^2-3x-10 --------- x^-6x+9 --- means divided by find the domain and find the x-intercepts Click here to see answer by jim_thompson5910(33401)

 Question 111027: Let f(x)= -x^2+2x-3 and g(x)=-x^2+4x Find each of the following. a. f(-2) b. g(3) c. g(-k) d. g(3m) e. g(k-5) f. f(3-p) I was able to get the following..... a. 5(-2)-3 -10-3 =-13 b. -3^2+4(3) -3^2+12 -9+12 =3 c. -k^2+4(-k) =-k2+4k d. -3m^2+4(3m) -3^2+12m =-9m2+12m THe following is all that I could get for letter E but I dont think it is right can you please help? The answer is supposed to be -k^2+14k-45 but I cant get there e. (-k-5)^2=4(k-5) (k+5)^2+4(k-5) (k+5)^2=4k+20 The following is all I could get for letter F. The answer is supposed to be 12-5p. f. 5(3-p)-3 15-5p-3 10p-3 thank you for your assistance :) Click here to see answer by stanbon(69061)

 Question 111321: Directions: Solve each equation if the domain is {-2, -1, 1, 3, 4} 20. y = 4 - 5x Click here to see answer by MathLover1(11324)

 Question 111422: Indicate yes or no if the following are functions? 1. y=x^3 2. y=x^2-1 3. y=5 4. y=x^4 Click here to see answer by jim_thompson5910(33401)

 Question 111689: Please help, Evaluate each function for the value specified. f(x) = x^2 − 7x + 10; Find (a) f(0), (b) f(5), and (c) f(-2). Thanks JMS Click here to see answer by malakumar_kos@yahoo.com(315)

 Question 111735: Crossword puzzle. The input of a function; a variable whose valu determines the value of the output is the ________ variable. It has 11 letters. Click here to see answer by jim_thompson5910(33401)

 Question 111761: Hi I am stumbled with this problem: Find the inverse function g of the given function, and state the domain and range of g. y = f(x) = (x+2)^3 Click here to see answer by jim_thompson5910(33401)

 Question 111762: Hi, I am hoping someone can help me with this equation: Let f(x) = 2x+5 and find a) f^-1 and b) 1/f(x) Click here to see answer by nihat(10)

 Question 111894: please help me solve this problem, i have been out of school for 28 years and have never did algebra. so iam thanking you in advance for your help. i have to find the output for the negative in the frist row and the out put for non-negative in the second. find the indicated function values. the problem f(x) = {6x -1 if x < 0 7x +3 if x > 0, this is in the { with the top numbers. Click here to see answer by Edwin McCravy(13211)

 Question 111950: Using the graph of y=-x^2+4x+5. what is the equation of the line of symmetry for this graph? Click here to see answer by checkley71(8403)

 Question 111951: If a rock is thrown upward with an initial velocity of 64 ft/second from the top of a 25-foot building. 1) write the hight (s) equation using this information. 2) how high is the rock after one second? 3) after how many seeconds will the graph reach maximum hight? 4) what is the maximum hight? Click here to see answer by ankor@dixie-net.com(18980)

 Question 112261: I have two questions from text book Beginning Algebra. Thank You in advance. 1. Given f(x)=5^2-3x+1, find f(-2) 2. Given f(x)=-5x-1, find f(a-1) Click here to see answer by checkley71(8403)

 Question 112415: Give the domain and range of the relation. x y 5 11 6 13 0 0 -8 -15 Click here to see answer by uma(370)

 Question 112445: f(x)=7x+2 find f(x) when x=0 and when x=1 Click here to see answer by checkley71(8403)

 Question 112446: For the following function I am to determine wherether this function has a minimum or maximum value and I am to find the value. I have four problems like this and this is the first one. I am having a hard time getting started. Can you please help me with this problem so that i can learn how to compelete the rest. Thank you so much for all your help!!!! Click here to see answer by solver91311(20879)

 Question 112759: If f(x)=x^4-x+2, then f(-x)= This is the problem and I cannot find the answer. Click here to see answer by checkley71(8403)

 Question 112907: Please help me find the answer: I am studying Graphs and Functions I am on a section called describing number patterns. I need help solving the following pattern, what are the next two numbers for this number pattern: 4,6,9,13 1/2, (the last number is thirteen and a half). Click here to see answer by checkley71(8403)

 Question 112983: the sum of two consecutive integers is 49.find the two integers Click here to see answer by veronica0626(5)

 Question 113115: I am not certain what kind of a problem this is so I apologize if this is in the wrong category. I am trying to work on this problem and having difficulty. I need to find the perimenter of a rectangle which is to be not greater than 300in., and the length must be 125 in. I have to find the maximum width of the rectangle. Could anyone help me? Thank you very much. Tracy Click here to see answer by stanbon(69061)

 Question 113498: Trying to find the domain and range for the function f(x)=eX Both needs to be expressed in interval notation. The X following the (E) above should be typed as a exponent. Click here to see answer by Fombitz(25151)

 Question 113529: Determine the solution set to the inequality. Express your answer in set builder notation. 12x + 10 < 2(5x + 8) Click here to see answer by kmcruz09(38)