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

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Question 1132986: Find the largest domain of the following (a.) f: x- 2+x/2-x (b.) g: x- 3x+2/x^2-1
(c.) h: x- 1+x/x^2+x-6
(d.) f: x- 2x-3/x

Click here to see answer by greenestamps(13198) About Me 

Question 1133003: Find the largest domain of the following
(a.) f(x)= 2+x/2-x
(b.) g(x)= 3x+2/x^2-1
(c.) h(x)= 1+x/x^2+x-6 (d.) f(x)= 2x-3/x

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

Question 1133114: Find the deprecation equation and corresponding domain using the given information. (Let V be the value in dollars. Let t be the number of years since the item was purchased.)
A violin bow is purchased for $800 and the value of the bow decreases by $6 per year for 5 years.

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Question 1133270: Jake earns $7.50 per hour working at a local car wash. The function, ƒ(x) = 7.50x, relates the amount Jake earns to the number of hours he works. Write the inverse of this relation.

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

Question 1133283: Write the inverse function for the function, ƒ(x) = 1/2 x + 4. Then, find the value of ƒ^-1 (4).
f^-1(x) =
f^-1(4) =

Click here to see answer by MathLover1(20849) About Me 

Question 1133343: I need help with this question. I have looked at an example but cant seem to plug the numbers in correctly.
A hospital’s revenue (in millions of dollars) is projected to be R(x) = 3x2 - 7x + 1 and its costs (in millions of dollars) are projected to be C(x) = 2x2 + 12x + 14 where x represents the number of years into the future. a. Create the profit function for the hospital. b. What is the average rate of change in the profit from year 3 to year 5?
I know that I am suppose to put Revenue minus the Profit
I need help with this in two days its due! Thank you!

Click here to see answer by greenestamps(13198) About Me 

Question 1133381: Find the domain of the function. (Enter your answer using interval notation.)
f(x) =
x4/x2 + x − 72

Click here to see answer by josgarithmetic(39616) About Me 

Question 1133416: With 2.62 million digital subscribers, a top-ranked magazine has 1130% more digital subscribers than a magazine ranked third. How many digital subscribers does the third-ranked magazine have?
Click here to see answer by Alan3354(69443) About Me 

Question 1133512: Below is a numerical representation of the function g(x)=2x^2-3x+1 created with Excel.
Identify g(-3) and g(1) and explain why that makes sense with the graph.
I know that g(-3)=28 and g(1)=0 but I'm confused on explaining how it makes sense with the graph. Here is a link to a screenshot of the table and graph: http://prntscr.com/md3m8j

Click here to see answer by josgarithmetic(39616) About Me 

Question 1133602: if g(x)=7x-a where a is a constant and g(10)=3g(20), then g(30)=
Click here to see answer by Boreal(15235) About Me 

Question 1134384: p varies directly as m and inversely as t squared

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Question 1134657: Could someone please possibly see what I am doing incorrectly in trying to solve the problem:
Given the function p(c) = c^2 + c, complete the following.
Solve p(c) = 2.
(Enter your answers as a comma-separated list.)
I’ve plugged 2 into the equation and did simple algebra, but the answers that I’ve gotten keep being tagged incorrect. My answers have been 6 and -6.

Click here to see answer by greenestamps(13198) About Me 

Question 1134919: Could someone please help?
Evaluate the expression, given functions f and h:
f(x) = 3x − 1, h(x) = −2x^2 + 3x − 7.
f(5/3) -h(-2)
*After plugging in the given values, the answer that resulted was 2x^2+6x+37/3

Click here to see answer by MathLover1(20849) About Me 

Question 1135092: 7x-9y=63
Does this equation represent y as a function of x?

Click here to see answer by ikleyn(52776) About Me 
Question 1135092: 7x-9y=63
Does this equation represent y as a function of x?

Click here to see answer by josgarithmetic(39616) About Me 

Question 1135093: Classify the function h(x)= 9/x^2+1
Rational, root, or polynomial?

Click here to see answer by ikleyn(52776) About Me 
Question 1135093: Classify the function h(x)= 9/x^2+1
Rational, root, or polynomial?

Click here to see answer by josgarithmetic(39616) About Me 

Question 1135094: Classify function:
F(x)=7x-3/7x+3

Click here to see answer by ikleyn(52776) About Me 

Question 1135096: Does this equation represent y as a function of x
7x+1=y^4

Click here to see answer by josgarithmetic(39616) About Me 
Question 1135096: Does this equation represent y as a function of x
7x+1=y^4

Click here to see answer by ikleyn(52776) About Me 

Question 1135095: Classify function:
f(t)= 8t^4-8t^3-7t^2+4t+2

Click here to see answer by ikleyn(52776) About Me 

Question 1135109: You are 330 miles from home and you are driving toward home at an average of 55 mph. Write an equation to represent the situation and find the domain and range of the function.

Click here to see answer by josmiceli(19441) About Me 

Question 1135211: Is the function odd, even, or neither?
f(x)=(x−2)^2



Click here to see answer by ikleyn(52776) About Me 

Question 1135225: What values of x are excluded from the domain f(x)=x^2-5x-6
Click here to see answer by ikleyn(52776) About Me 

Question 1135352: I know how to find vertical asymptotes of rational functions but is there a set guide of rules for Horizontal asymptotes?
the internet has a lot of different rules.

please and thank you

Click here to see answer by josgarithmetic(39616) About Me 
Question 1135352: I know how to find vertical asymptotes of rational functions but is there a set guide of rules for Horizontal asymptotes?
the internet has a lot of different rules.

please and thank you

Click here to see answer by ikleyn(52776) About Me 
Question 1135352: I know how to find vertical asymptotes of rational functions but is there a set guide of rules for Horizontal asymptotes?
the internet has a lot of different rules.

please and thank you

Click here to see answer by greenestamps(13198) About Me 

Question 1135377: Do I replace the (x) with 15?
g(x) = -2x -3
Find x if g(x) = 15

Click here to see answer by josgarithmetic(39616) About Me 
Question 1135377: Do I replace the (x) with 15?
g(x) = -2x -3
Find x if g(x) = 15

Click here to see answer by MathTherapy(10551) About Me 

Question 1135485: Given that f(x)=x^2-2x+2 and g(x)= the square root of 5+2x find (f/g)(x)
I believe you set it up as:
x^2-2x+2\sqr root of 5+2x
( ) ( )/ then I'm lost

Click here to see answer by ikleyn(52776) About Me 

Question 1135544: Two minor league baseball players got a total of 324 hits. Washington had 18 more hits than sanchez
Click here to see answer by ikleyn(52776) About Me 
Question 1135544: Two minor league baseball players got a total of 324 hits. Washington had 18 more hits than sanchez
Click here to see answer by Alan3354(69443) About Me 

Question 1135546: If the perimeter of a rectangle is 36 cm and the area is 80 square cm, then what are the dimensions of the rectangle?
Click here to see answer by Alan3354(69443) About Me 

Question 1135724: Write a function rule to describe each situation
The total number of miles m(r) covered when you walk 7 miles before lunch and you walk for 2 hours at r mi/he after lunch.

Click here to see answer by ikleyn(52776) About Me 

Question 1135729: The credit remaining on a phone card (in dollars) is a linear function of the
total calling time made with the card (in minutes), as shown in the figure below.
The remaining credit after 34 minutes of calls is $14.56, and the remaining
credit after 67 minutes of calls is $9.28.
What is the remaining credit after 77 minutes of calls?

Click here to see answer by josgarithmetic(39616) About Me 

Question 1135913: A farmer has 1832 feet of fencing available to enclose a rectangular area bordering a river. No fencing is required along the river. Let x represent the length of the fence that is parallel to the river. Complete parts a. through c.


A rectangular area borders a river on one of its horizontal sides and has its other horizontal side labeled as x
x
River
a. Create a​ function, A(x), that describes the total area of the rectangular enclosure as a function of​ x, where x is the length of the rectangular enclosure that is parallel to the river.

Click here to see answer by josgarithmetic(39616) About Me 
Question 1135913: A farmer has 1832 feet of fencing available to enclose a rectangular area bordering a river. No fencing is required along the river. Let x represent the length of the fence that is parallel to the river. Complete parts a. through c.


A rectangular area borders a river on one of its horizontal sides and has its other horizontal side labeled as x
x
River
a. Create a​ function, A(x), that describes the total area of the rectangular enclosure as a function of​ x, where x is the length of the rectangular enclosure that is parallel to the river.

Click here to see answer by ikleyn(52776) About Me 

Question 1135912: An 8 inch wire is to be cut. One piece is to be bent into the shape of a​ square, whereas the other piece is to be bent into the shape of a rectangle whose length is twice the width. Find the width of the rectangle that will minimize the total area.
What is the width of the rectangle that will minimize the total​ area?

Click here to see answer by ikleyn(52776) About Me 

Question 1135911: A rancher has 4400 feet of fencing available to enclose a rectangular area bordering a river. He wants to use part of the fencing to create two partitions to separate his​ cows, horses, and pigs by dividing the enclosure into three equal areas. No fencing is required along the river. Let x represent the length of the partitions. Complete parts a. through d.
Click here to see answer by josgarithmetic(39616) About Me 

Question 1135931: Given that 𝑓(𝑡) = −𝑡^2 − 5𝑡 and 𝑔(𝑡) = 2𝑡 − 1,
a) Find the expression of (𝑔𝑜𝑓)(𝑡)
b) Compute (𝑓𝑜𝑔) (1/2).

Click here to see answer by MathLover1(20849) About Me 

Question 1136049: A local civic arena is negotiating a contract with a touring ice-skating show, Icey Blades. Icey Blades charges a flat fee of $60,000 per night plus 40 percent of the gate receipts. The civic arena plans to change one price for all seats, $12.50 per ticket.
(a)Determine the number of tickets which must be sold each night in order to break even.
(b)if the civic arena has a goal of clearing $15000 each night, how many tickets must be sold?
(c)what should nightly profit equal if average attendance is 7500 per night?

Click here to see answer by VFBundy(438) About Me 

Question 1136169: Suppose the invertible function φ(x) has the domain (−5,11) and the range (−12,1).
What is the range of φ^−1(x)?

Click here to see answer by ikleyn(52776) About Me 

Question 1136338: Hello. I did not find how to solve this problem in the Blitzer College Algebra Book. Here is the problem, which I have not been prepared to solve (no examples had been shown in the book, very frustrating ad antipedagogical!)
Let f(x)= x^2 - x + 4 and g(x) = 3x - 5. Find g(1) and f(g(1)).
Please, show me the steps and if possible w/ explanations so that Imay understand how to solve this type of problems. Thanks

Click here to see answer by josgarithmetic(39616) About Me 
Question 1136338: Hello. I did not find how to solve this problem in the Blitzer College Algebra Book. Here is the problem, which I have not been prepared to solve (no examples had been shown in the book, very frustrating ad antipedagogical!)
Let f(x)= x^2 - x + 4 and g(x) = 3x - 5. Find g(1) and f(g(1)).
Please, show me the steps and if possible w/ explanations so that Imay understand how to solve this type of problems. Thanks

Click here to see answer by MathTherapy(10551) About Me 
Question 1136338: Hello. I did not find how to solve this problem in the Blitzer College Algebra Book. Here is the problem, which I have not been prepared to solve (no examples had been shown in the book, very frustrating ad antipedagogical!)
Let f(x)= x^2 - x + 4 and g(x) = 3x - 5. Find g(1) and f(g(1)).
Please, show me the steps and if possible w/ explanations so that Imay understand how to solve this type of problems. Thanks

Click here to see answer by ikleyn(52776) About Me 

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