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

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Question 293284: how do you find the domain and range of this equation?
x^2 + 10 < x < 5 The less than signs are to be less than or equal to
Click here to see answer by stanbon(57347)

Question 293694: f(-21/10)=13(-21/10)-26(-21/10)+14
i do not understand how to work this problem out
i know answer is 12593/100...
but how do you get to that?
Click here to see answer by stanbon(57347)

Question 293941: Given f(x) = 2x - 1, find the value of f(1).
Click here to see answer by checkley77(12569)

Question 295295: Application Practice
Answer the following questions. Use Equation Editor to write mathematical expressions and equations. First, save this file to your hard drive by selecting Save As from the File menu. Click the white space below each question to maintain proper formatting.
Hint: Pay attention to the units of measure. You may have to convert from feet to miles several times in this assignment. You can use 1 mile = 5,280 feet for your conversions.
1. Many people know that the weight of an object varies on different planets, but did you know that the weight of an object on Earth also varies according to the elevation of the object? In particular, the weight of an object follows this equation: , where C is a constant, and r is the distance that the object is from the center of Earth.
a. Solve the equation for r.
b. Suppose that an object is 100 pounds when it is at sea level. Find the value of C that makes the equation true. (Sea level is 3,963 miles from the center of the Earth.)
c. Use the value of C you found in the previous question to determine how much the object would weigh in
i. Death Valley (282 feet below sea level).
ii. the top of Mount McKinley (20,320 feet above sea level).
2. The equation gives the distance, D, in miles that a person can see to the horizon from a height, h, in feet.
a. Solve this equation for h.
b. Long’s Peak in Rocky Mountain National Park, is 14,255 feet in elevation. How far can you see to the horizon from the top of Long’s Peak? Can you see Cheyenne, Wyoming (about 89 miles away)? Explain your answer

Click here to see answer by richwmiller(9135)

Question 295296: I am working on functions (fractions/ division) but I am stumped. Any help is appreciated.
compute and then simplify the quantity f (a + h) − f (a):
f(x)=2/x+1
thank you
Click here to see answer by jim_thompson5910(28595)

Question 296105: I was given this problem to solve:
f(x) = 12/7
Evaluate for f(6).
I cannot see how this is a function, since there is only one variable on the left side of the equation. The answer I submitted was that there was no real solution and I was graded as wrong. Can you tell me how to solve this problem?

Click here to see answer by richwmiller(9135)

Question 296402: The gas mileage, m, of a specific car is a linear function of the speed, s, at which the car is driven,for 60 less that or equal to s less than or equal to 30. if the car is driven at a rate of 30MPH, the cars gas mileage is 35MPG. If the car is driven at 60MPH the cars gas mileage is 20MPG. I need to use this data (s,m) to write an equation for the gas mileage m. I have know idea how to do this!
Click here to see answer by josmiceli(9678)

Question 297122: y=ln(x^2-1)
Click here to see answer by Fombitz(13828)

Question 297175: A) f(0)
B) f(x)=0
f(x)=4x+7
Click here to see answer by nyc_function(2733)

Question 297374: what graph represents the equation f(x)=3x+3?
Click here to see answer by jim_thompson5910(28595)

Question 297536: A small pizza costs $5.50 plus 85 cents for each topping. Express the total cost C as a function of number of topping t.
a. What is the function for the total cost.
b. Use the function in part (a) to determine the cost of a small pizza with 3 topping.
Click here to see answer by TakeishaM(13)

Question 297541: The charge C, for renting an air hammer from Taylor and Son Equipment Rental is a linear function the number of days (n) in the rental period. The charge is
$113 for 2 days and $209 for 5 days.
(a) Write C as a linear function of n. Your equation should look like C= an + b
Where you need to find the values of a + b using the information above as
ordered pairs (2, 113) and (5, 209)

(b) What would the charge be for 4 days
Click here to see answer by TakeishaM(13)

Question 297721: Simplify the radical expression. -sqrt48
Click here to see answer by Stitch(352)

Question 298143: Let f represent the greatest integer function. For each item below, use a different notation to write an expression for f(x) and evaluate that expression.
f(5.9)
f(-2.9)
f(-4.8)
Can you point me in the right direction, please.
Click here to see answer by Fombitz(13828)

Question 298275: Could you please provide an example of at least five ordered pairs that do not model a function. The domain will be any five integers between 0 and 20. The range will be any five integers between -10 and 10.

Click here to see answer by richwmiller(9135)

Question 298476: I'm having trouble with writing the inverse of a the function f(x)=e^(x-2). I've plugged in given plotting points of x= -6, -4, -2, 0, 2, 4, and 6. For the inverse, do I write x=lne^(y-2) and bring my exponent to the front of ln? Thank you in advance for your help.
Part 2: is my vertical asymptote 2 for the inverse?
-Courtney
Click here to see answer by stanbon(57347)

Question 298792: Are functions f(x) = -1/4x + 5/4 and g(x) = -4x + (2.5/.5) inverses of each other? Why?
Must be solve in algebraic based.
Click here to see answer by nyc_function(2733)

Question 299566:
Given the function G(x) = 2x + 6, find each of the following.
G(5) =
G(-8) =
G(6.5) =
Click here to see answer by jim_thompson5910(28595)

Question 300277: find the number of ways in which 6 teachers can be assigned to 4 section introductory psychology course if no teacher is assigned to more than one section?

Click here to see answer by Edwin McCravy(8909)

Question 300310: Does the equation y equals the square root of x plus 33[y=(x+33)^(1/2)] define y as a function of x? What are the steps to solving this problem?
Click here to see answer by stanbon(57347)

Question 300480: Determine the domain of the rational function.

Click here to see answer by Fombitz(13828)

Question 300695: If y varies inversely as the cube of x, write the particular equation, given that the graph contains (4,7). Find the x if y = 10
Click here to see answer by stanbon(57347)

Question 300697: What is the area of a rectangle expressed as a function of its width, if the width is 25 percent of its length?
Click here to see answer by Fombitz(13828)

Question 301228: How do I find the domain y= squareroot x and similar problems
Click here to see answer by Fombitz(13828)

Question 301212: Use f(x)=3x-5 and g(x) = 2-x^2 to evaluate the expression g(f(0))
Click here to see answer by Fombitz(13828)

Question 301263: Find the indicated value for the given rational expression:
R(u)=8u^2-1/u^2-u-6 , R(3)
Click here to see answer by checkley77(12569)

Question 301349: IS the relation defined by y^2+2x=5 a function of x?
A) yes, because you can solve for y
B) no, because you cannot solve for a unique y.
C) No, because you cannot solve for y.
D) Yes, because you can graph the relation
Click here to see answer by Fombitz(13828)

Question 301455: (3,5);x+8y=9
Write an equation of the line containing the given point and parallel to the given line. Express your answer in the form y=mx+b. This is my problem. I have serious difficulties trying to solve these types of equations. This is for Algebra 1 in Axia College online degree program.
Click here to see answer by nerdybill(6958)

Question 301498: F(x)=-3x^2+5x
a)is the point (-1,2) on the graph of f? (Yes)
b)if x=-2, wat is f(x)? what point is on the graph of f? (-22,0)?
f(x)= -3(-2)^2+5(-2)
-12-10
=-22?
c)if f(x)=-2, what is x? What point(s) are on the graph of x? (HELP)
f(x)= -2=-3^2+5x
d)what is the domain of f? (HELP)
e)list the intercepts, if any, of the graph of f.(HELP)
f)list the y intercept, if there is one, of the graph f.(HELP)
I've tried B and got x=-22, but Im stuck mainly on C and any help on the rest would be great!
Click here to see answer by richwmiller(9135)

Question 301562: If f(x)=1/x^2, what is the domain of f(x)?
Click here to see answer by nyc_function(2733)

Question 301768: Please walk me through this problem. I have the answer, but I am unable to work past the second step. a/(a + x) divided by (a + x)/b multiplied by a + x divided by 2ab.
Thank you
aesmith2@cox.net
Click here to see answer by JBarnum(2044)

Question 301791: The length of a rectangle is fixed at 17cm. What widths will make the perimeter greater than 78cm?
Click here to see answer by JBarnum(2044)

Question 302045: At Bug’s Bar-B-Q restaurant, the average (mean) weekly wage for full-time workers is $250. There are 10 part-time employees whose average weekly salary is $100, and the total weekly payroll is $4000. How many full-time employees are there?
Click here to see answer by checkley77(12569)

Question 302148: For the given rational function f, find all values of x for which f(x) has the indicated value.
f(x) = 5x + 21/x ; f(x) = -38
Click here to see answer by london maths tutor(243)

Question 302420: Find the indicated composite for the pair of functions.
(f.g)(x):f(x)=8x+7,g(x)=2x-1
(.) This symbol between (f.g) represents the composition symbol.
Could you please show me step by step how to solve?
Thank you,
Erin
Click here to see answer by stanbon(57347)

Question 302757: What similarities and differences do you see between functions and linear equations? Are all linear equations functions? Is there an instance in which a linear equation is not a function? Support your answer. Create an equation of a nonlinear function and provide two inputs for your classmates to evaluate
Click here to see answer by richwmiller(9135)

Question 302877: I need help finding the reasonable domain.
It says that the perimeter is 40m.
It also says: A=20w-w^2 where w is width.
What I thought it would be was {w>0} because you can't have a negative area but I am not sure.
Click here to see answer by Alexandra Mack (1)

Question 303267: what is the domain and range for each relation? {(5,6),(5,7)(6,6),(6,7)}
Click here to see answer by Edwin McCravy(8909)

Question 303266: what is the domain and range for each relation? {(5,6),(5,7)(6,6),(6,7)}
Click here to see answer by Edwin McCravy(8909)

Question 303265: what is the domain and range for each relation? {(4,5),(6,7),(8,8)
Click here to see answer by Edwin McCravy(8909)

Question 304079: I am completely in the dark with application problems,,,,,,
here is one,,,,
the power rating P in watts, of an electrical appliance is determined bu p=IxV, where I is the cuurent in amperes and V is measured in volts.
A. A kitchen requires 30 amps of current and the coltage in the house is 115 volts, wht is the wattage of the kitchen?
b. Solve for I;for V.
need answer by tomorrow ,,,thanks
Click here to see answer by mananth(12270)

Question 304229: I can't figure out how to solve this equation can you help me with solving this problem? Difference Quotient
f(x)= 1-x^2 f(x+h)-f(x)/ h , h can't = o
Click here to see answer by JBarnum(2044)

Question 304345: Hi here is the question:
Frieda is trying to find a function. She knows that f(-2)=0, f(-1)=9 and f(4)=0.
Which function is Frieda looking for?
(when i put the two Behind the x instead of in front, i mean x squared.)
A) f(x)=x2-2x-8
B) f(x)=-2x2+x+4
C) f(x)= -x2+2x+8
D) f(x)= 9x2-2x+4
Click here to see answer by richwmiller(9135)

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