# 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 69432: can you help me solve: f(x)= x-4 and g(x)=x+2 1. f-g 2. f*g Click here to see answer by Nate(3500)
 Question 69432: can you help me solve: f(x)= x-4 and g(x)=x+2 1. f-g 2. f*g Click here to see answer by funmath(2925)

 Question 69553: given: f(x)=x^2+3 and g(x)(sqrt)2-x find f o g (x) a.5-x b. 1-x c. (sqrt) 5-x^3 d. 7+x^2 Thanks Click here to see answer by funmath(2925)

 Question 69704: This question is from a study handout, not the book per se. This is finding the inverse of a one to one function. The question is: f(x)=7/3x-2 I start by substituting y for f(x)=y=7/3x-2 Then I switch y for x= x=7/3y-2 Next I multiple both sides of the equation by 3y-2 to elimate the fraction= x(3y-2)=7(3y-2) =3xy-2x=21y-14 Then I isolate the y variables= 3xy-21y=2x-14 Next I remove the common factor of 3y= 3y(x-7)=2x-14 I'm assuming the next step would be to divide both sides by x-7. That would give me: 3y=2x-14/x-7 It seems to me that would give me 3y=2, and the final answer would be y=2/3. My answer key says the correct answer is f(inverse x)=7/3x+2/3. No matter how many times I try this, I can't figure out where they're getting the 7/3x from. Thank you so much for your help! Click here to see answer by Earlsdon(6287)

 Question 69844: Solve the system by addition. 2x – 4y = 7 4x + 2y = 9 Click here to see answer by bucky(2189)
 Question 69844: Solve the system by addition. 2x – 4y = 7 4x + 2y = 9 Click here to see answer by Edwin McCravy(8903)

 Question 69837: Rewrite the equation 4x – 6y = –30 as a function of x. Click here to see answer by Edwin McCravy(8903)
 Question 69837: Rewrite the equation 4x – 6y = –30 as a function of x. Click here to see answer by checkley75(3666)

 Question 69826: one number is 4 less than 3 times another number. c 4 5 6 7 8 d 8 11 _ _ _ Click here to see answer by tutorcecilia(2152)
 Question 69826: one number is 4 less than 3 times another number. c 4 5 6 7 8 d 8 11 _ _ _ Click here to see answer by checkley75(3666)

 Question 69975: rewrite the equation -8x - 5y = -45 as a function of x. Click here to see answer by checkley75(3666)

 Question 68768: What is the domain or range of y=1 over x? Click here to see answer by jim_thompson5910(28545)

 Question 70151: Can you please explain...I tried working it myself, but did not come up with correct answer...instructions...given f(x) = 5x^2-3x+1, find f(-2). 5x^2-3(-2)+1 -20+6+1 -14+1=-13 did I do this correctly? Click here to see answer by jim_thompson5910(28545)

 Question 70152: Can you assistance with this problem...I tried working it myself and I still did not come up with the right answer...instructions...given f(x)=-5x-3,find f(a-2) -5(a-2)-3 -5a+10-3 -5a+3 did i do it correctly? Click here to see answer by checkley75(3666)

 Question 70097: Rewrite the equation –8x – 5y = –45 as a function of x. Click here to see answer by checkley75(3666)

 Question 70234: rewrite the equation -8x - 5y = -45 as a function of x. Click here to see answer by jim_thompson5910(28545)

 Question 70341: Please help me with this. The question was not given from a book. Solve for X, Y, and Z in the following sysyems of three equations: a. x+2y+z=6 x+y=4 3x+y+z=8 b. 10x+y+z=12 8x+2y+z=11 20x-10y-2z=8 c. 22x+5y+7z=12 10x+3y+2z=5 9x+2y+12z=14 Click here to see answer by Edwin McCravy(8903)

 Question 70433: Hi I have looked online thru various websites to try and answer this question for my child. It's completing a function table: what is the value of y when x=3? Click here to see answer by pleasuretohelp(9)

 Question 70553: 22x-4=5(7-2x) could you explain how to solve this equation? thank you Click here to see answer by checkley75(3666)

 Question 70617: Please help me solve the following: The distance traveled by a ball that is pushed down a ramp is given by s(t) =2tsquared + t, where t is the time in seconds after the ball is released and s(t) is measured in feet. Evaluate the average volocity of the ball for each of the following time intervals. a) [3,5] b) [3,4] c) [3,3.5] d)[3,3.01] Click here to see answer by venugopalramana(3286)

 Question 70813: What is the definition for domain? How can you figure out what f(x) = 7x + 2 for the domain {-4, -1, 0, 1, 5} is? Click here to see answer by stanbon(57290)
 Question 70813: What is the definition for domain? How can you figure out what f(x) = 7x + 2 for the domain {-4, -1, 0, 1, 5} is? Click here to see answer by bucky(2189)

 Question 70856: Determine algebraically whether the function is even, odd or neither. a) f(x)= X2(x squared) - 2 b) f(x) = 3x4 + 2x2 - 7 Click here to see answer by jim_thompson5910(28545)

 Question 70936: State the domain and range of the top half of the circle x2 + y2 = 16 Click here to see answer by stanbon(57290)

 Question 71000: find the range of values for p such that 3X^2 + 3px + p^2 = 1 has real roots Click here to see answer by venugopalramana(3286)

 Question 71036: Please help with the following question. For each of the relaionships below, explain whether you think it is best describrd by a linear or non linear function. Explain your reasoning thoroughly. a. The time it takes you to get to work as a function of the speed at wich you drive b. The probability of getting into a car accident as a function of the speed at which you drive. c. Apwrson's height as a function of the person's age (from age 0 to 100) Click here to see answer by stanbon(57290)

 Question 70965: Determine if the function is odd, even or neither f(x) = x √4 - x2 f(-x)= -x (2-(-x) (2+(-x) -x (2x-2x) This is where I am stuck. Click here to see answer by mathman409(67)

 Question 70966: Please explain what a piecewise function is: f(x) = {x - 1, if x < -2 {x2, if -2 ≤ x ≤ 1 {1, if x > 1 Click here to see answer by venugopalramana(3286)

 Question 71218: Im unclear how to figure this out. Can you break down each step for me. (-6,5) and has a slope of 7/3 I just want to make sure im doing this correct. The question asks. Write an equation, in slope-intercept form when possible Click here to see answer by checkley75(3666)

 Question 71834: Several values of the two functions f and g are given in the following: x: 4,5,6,7 f(x): 6,7,4,5 x: 4,5,6,7 g(x): 6,5,7,4 How do I find (f o g)(7)? Click here to see answer by stanbon(57290)

 Question 71850: From the information provided for f(x) and g(x), evaluate (f o g)^-1(2) x: 1,2,3,4,5 f(x): 3,4,5,1,2 g(x): 5,4,2,3,1 A little help Click here to see answer by venugopalramana(3286)

 Question 71927: Find the domain of f(x)=7+ sqrt 3x+21 and express it using interval notation. How do I solve this? Click here to see answer by stanbon(57290)

 Question 71851: A bacteria culture started with a count of 720 at 8:00 am, and after t hours is expected to grow to f(t)=720(3/2)^t. Estimate the number of bacteria in the culture at 11:00 am the same day. Click here to see answer by ankor@dixie-net.com(15646)

 Question 71853: If a piece of real estate purchased for \$50,000 in 1998 appreciates at the rate of 5% per year, then its value t years after the purchase will be f(t)=50,000(1.05^t). According to this model, by how much will the value of this piece of property increase between the years 2007 and 2008? I'm not good with word problems. Click here to see answer by stanbon(57290)

 Question 72265: In simplifying expressions what is the rule for Adding together a large negative number an a small positive number? for example: -15+4 Click here to see answer by terbear1963(43)

 Question 72388: Can you help me with this problem: f(x)= 7x-40 and h(x)= -x squared plus 6x f(h(x))= Click here to see answer by pradhyumna.kumar@gmail.com(62)

 Question 72385: Can you help me with this: h(x)= x squared plus 6x h(x + 1) - h(x)= Click here to see answer by pradhyumna.kumar@gmail.com(62)

 Question 72391: Can you help me find F(4)and the domain for the function: F(x)=10x + 1 / x squared - 9x Click here to see answer by stanbon(57290)