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

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Question 1094606: Given the function f(x) = 8x2 (it’s supposed to be x squared) +5x-5. Calculate the following values:
f(0) =
f(2) =
f(-2) =
f(x+1) =
f(-x) =

Click here to see answer by Alan3354(69443) About Me 

Question 1094604: Suppose you have a $235 gift card for gas. You spend on average $22 per week for gas.
a) Write a function to model this situation where w is the number of weeks and g(w) is the value in dollars remaining on the card.
g(w) =
b.) Evaluate g(6) =

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Question 1094668: let f:A∋B:g:B∋C be function then prove that (gof)¯¹ =f¯¹

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Question 1094669: If f(x) = x^2-2x+3 and g(x)= 1-x, what is (fog)(x)?
I tried to follow with some lessons I saw, but I came out with x^2-4x+4, which I'm hesitant with.

Click here to see answer by josgarithmetic(39613) About Me 

Question 1094671: z varies jointly as x^2 and y. If z = 24 when x = 2 and y = 3, what is the value of z when x = 3 and y =5?
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Question 1094675: If f(x)=x^2+3x and g(x)=1/(x-3), what would be the domain of (gof)(x)?
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Question 1094673: Supposing f (x) = x^2 + 1 and g(x) = 1-x. (gof)(-2) = ?
I tried solving this on my own, but I only got so far as this:
(gof)(x)
= g(f(x))
= g(x^2+1)
= (x^2+1) -1-x
but I'm not sure if I've done it correctly. Could I ask for the right solution, please?

Click here to see answer by josgarithmetic(39613) About Me 

Question 1094674: The force F required to open a gate varies inversely as the distance d of the force from the line of hinges. The least force that can be used to open a certain gate 8 feet wide is 10 lbs. What force applied at a distance of 15 inches from the hinges would be needed to open the gate?
Click here to see answer by josgarithmetic(39613) About Me 
Question 1094674: The force F required to open a gate varies inversely as the distance d of the force from the line of hinges. The least force that can be used to open a certain gate 8 feet wide is 10 lbs. What force applied at a distance of 15 inches from the hinges would be needed to open the gate?
Click here to see answer by ikleyn(52747) About Me 

Question 1094623: How do I figure out f(x)=-4 the transformation and the relation help me find five points to graph the equation help me locate the intercepts vertex help me understand if the equation is a function than assume the graph shifted three units upward four units to the left tell how this would effect the transformation by rewriting the equation to incorporate those numbers and help me understand the relation and do the vertical line test?
Please help me asap !

Click here to see answer by richwmiller(17219) About Me 

Question 1094609: The amount of garbage, G, in tons per week, produced by a city with population p, measured in thousands of people, is given by G = f(p).
The town of Tola has a population of 45,000 and produces 11 tons of garbage each week. Express this information in terms of the function f.

Click here to see answer by richwmiller(17219) About Me 

Question 1094721: I am not exactly sure how to answer this problem:
Find the domain of the function. (Enter your answer using interval notation.)
f(x) = x^2 + 2, 0 ≤ x ≤ 7

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Question 1094694: Write a function and record the results showing your distance traveled if you are traveling at a steady speed of 55 mph for h hours
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Question 1094694: Write a function and record the results showing your distance traveled if you are traveling at a steady speed of 55 mph for h hours
Click here to see answer by MathTherapy(10549) About Me 

Question 1094722: How do I write 2%28y%2B2%29=f%28-x%29 into the standard form of y=f%28x%29?
Click here to see answer by t0hierry(194) About Me 

Question 1094739: Given: f(x) = x² and g(x) = 2x + 1, find f[g(x)].
Click here to see answer by ikleyn(52747) About Me 

Question 1094823: The equation x^2+(k+2)x+2k=0 has two distinct real roots.
Find the possible values of k.

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Question 1094778: Give 5 real life
Click here to see answer by richwmiller(17219) About Me 

Question 1095025: How do I convert the following sentence to a function notation?
g is the function that subtracts 2 from the input and takes the square root of the result.

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Question 1095011: f(x)= 2x-3, g(x) = x^2-3x+2
Find f(g(x)) and g(f(x)). Also state the domain

Click here to see answer by Boreal(15235) About Me 

Question 1095014: Let f(x)= 2x-5 and g(x)=-3x^2+7x-5. Find each function value.
a. f(g(2))
b. g(f(-1))
c. f(f(-4))
d.g(g(-2))

Click here to see answer by ikleyn(52747) About Me 

Question 1095012: f(x)= 1/x-2, g(x) = 3/x
Find f(g(x)) and g(f(x)). Also state the domain

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Question 1095036: How do I determine the difference quotient (simplify when possible)?
g(x) = x^2

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Question 1095082: h(x)=4-x
h(x-5)=7




Click here to see answer by josgarithmetic(39613) About Me 

Question 1095179: Write a rule for the following function.
X, -1, 0, 1, 2
Y, 3, 1, 1/3, 1/9

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Question 1095381: Good evening, I had a question regarding something that I could not find a topic for in the options. I wanted to get some clarification on explicit and recursive rules. How do you find the explicit rule? How do you find the recursive rule?
Click here to see answer by ikleyn(52747) About Me 

Question 1095389: Hello. I needed some help with explicit and recursive rules. I do not understand how to write one of these rules when asked to on a worksheet. If you can, please describe this to me step by step. (I just started Algebra I)
Click here to see answer by ikleyn(52747) About Me 

Question 1095443: For the pair of functions find the sum, difference, product and quotient. State the domain of the resulting functions:
f(x)=7x-8, g(x)=6x+3

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Question 1095798: A minor league baseball team plays 97 games in a season. If the team won 17 more than three times as many games as they lost how many wins and loses did the team have

Click here to see answer by Alan3354(69443) About Me 

Question 1096130: Solve g(x)=5 given that g(x)=2x/2x-3.
Click here to see answer by Boreal(15235) About Me 

Question 1096134: For the function f(t)= 2t+1/5
(a) Evaluate f(2)
f(2)=

(b) Solve f(t)=4
t=

Click here to see answer by Alan3354(69443) About Me 

Question 1096250: A container contains 12 Diesel engines. The company chooses 6 at random, and will not ship the container if any of the engines chosen are defective. Find the probability that a container will be shipped even though it contains 2 defectives if the sample size is 6.
Please explain in Full Detail because I have no clue how to solve, even though I’ve watched videos, etc.
What is the number of successes in the population?
What is the number of successes in the sample?
How do you determine each?

Click here to see answer by KMST(5328) About Me 

Question 1096389: Let f(x) = (x-2)^3+8
a. Show that this function is one-to-one algebraically.
b. Find the inverse of f(x).

Click here to see answer by htmentor(1343) About Me 

Question 1096358: Suppose the height h of an object thrown straight upward from the ground is given by h = 44.1t - 4.9t^2, where h is in meters and t is the elapsed time in seconds. After how many seconds does the object strike the ground?
Click here to see answer by josmiceli(19441) About Me 

Question 1096360: A student club changes annual membership dues of P800.00, less P5.00 for each member over 50. How many members would give the most revenue for annual dues?
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 1096363: Given the function y = f(x) = -x^2 + 8x -12. Suppose the domain of the function is restricted to the semi-open interval (3,7]. What is the corresponding range of the function in interval notion?
Click here to see answer by josgarithmetic(39613) About Me 

Question 1096550: Given the function f(x)=x^2+2x+1, find f(2a−3/5)



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Question 1096615: how would be find the answer to f(g(x)) when f(x)=2x-12 , g(x)=x^2+2x+4, f(x)=-3/2x-6
Click here to see answer by ikleyn(52747) About Me 

Question 1097001: For each relation determine if y is a function of x.
(y-2)^3+3=x

Click here to see answer by Edwin McCravy(20054) About Me 

Question 1097010: A health club currently charges its 1900 clients monthly membership dues of $45. The board of directors decides to increase the monthly membership dues. Market research shows that each $1 increase in dues will result in the loss of 3 clients. How much should the club charge each month to optimize the revenue from monthly dues?
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 1097120: how do you algebraically show that no points of f(x) = (2x - 6)/(x+6) has a negative gradient?
Click here to see answer by Edwin McCravy(20054) About Me 
Question 1097120: how do you algebraically show that no points of f(x) = (2x - 6)/(x+6) has a negative gradient?
Click here to see answer by htmentor(1343) About Me 

Question 1097033: if f(x)=3x+2 and g(x)=x^2-x, find each value.
1.f(4)
2.f(-2)

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Question 1097183: Find a linear function h given h(-3)=3 and h(0)=2. Then find h(-6). Show all work.
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Question 1097252: Write an equation for the inverse of the given​ one-to-one function.
f(x) = (5x+4)/(7)

Click here to see answer by greenestamps(13195) About Me 

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