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

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Question 1019352: On my math homework, there's a bunch of tables for x and y. I've already established witch ones are linear and which are exponential. I'm having trouble on the following exponential function. I need to find the equation of it:
X: 0 1 2 3 4
Y: 16 20 25 31.25 39.0625

Click here to see answer by ikleyn(52794) About Me 

Question 1019375: Please help me I keep getting the wrong answers. Thanks in advance

Given that f(x)=(x-5)^2 and g(x)=7−4x
find (a) (f+g)(x)
(b) (f−g)(x)

(c) (fg)(x)

(d) (f/g)(x)

Click here to see answer by MathLover1(20850) About Me 

Question 1019467: Find f(4) if f(x)=x^2÷3+x
Click here to see answer by fractalier(6550) About Me 

Question 1019466: If h(x) = 6, for the function h(x) = 2x + 1, what is the value of x
Click here to see answer by Cromlix(4381) About Me 
Question 1019466: If h(x) = 6, for the function h(x) = 2x + 1, what is the value of x
Click here to see answer by fractalier(6550) About Me 

Question 1019315: Javier works in a photo lab and needs to make a reduced copy of a photograph that is 8 inches long. The customer wants the copy to have a length of 4.5 inches. Each time he presses the reduce button on the copier, the copy is reduced by 12%. Javier and his boss had an argument, because Javier claimed that pressing the button 5 times would be enough to fulfill the customer's request. His boss said that pressing the button 5 times would result in a length less than the desired 4.5 inches. Which of the following conclusions can be made?
Javier is correct and he should press the button five times
Javier's boss is correct and he should press the button five times.
Javier is correct and he should not press the button five times.
Javier's boss is correct and he should not press the button five times.

Click here to see answer by Theo(13342) About Me 

Question 1019690: This problem is giving me fits!! Please help!!
Given that f(x)=x^2-13 and g(x)=18-x find (f-g)(-3)

Click here to see answer by Cromlix(4381) About Me 
Question 1019690: This problem is giving me fits!! Please help!!
Given that f(x)=x^2-13 and g(x)=18-x find (f-g)(-3)

Click here to see answer by MathTherapy(10552) About Me 

Question 1019486: The Hybrid-Only Car Rental agency uses the function
f(x) = 26
for any daily use of a car up to and including 220 miles. For driving more than 220 miles per day, it uses the function
g(x) = 26 + 0.16(x − 220)
to determine the charges. How much would the company charge for daily driving of 120 miles? of 260 miles? of 330 miles? of 400 miles?
Your help is much appreciated.

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

Question 1019731: Solve for x, check for any extraneous solutions.
The problem: x= sqrt(5x+14)
Thank you for your time and dedication! 😊

Click here to see answer by solver91311(24713) About Me 

Question 1019779: f(x)=3x*8-4
What is the maximum number of zeros that this function can have
my answer is 1 just want to make sure

Click here to see answer by ikleyn(52794) About Me 

Question 1019856: Evaluate f(-2) for the following function:
f(x) = 1/(x^2+1)

Click here to see answer by ewatrrr(24785) About Me 

Question 1019859: Find (f+g)(x) for the following two functions:
f(x)=2x+1
g(x)=5x-3

Click here to see answer by ewatrrr(24785) About Me 

Question 1019881: What is the solution set of the following equation:
|x + 6| = 7
After shifting the graph of the function
f(x) = 6x-2 down by 7 units, how would you express the transformed function, g(x)?

Click here to see answer by Fombitz(32388) About Me 

Question 1019876: ) Find an equation of a line with the given properties and express the equation in slope-intercept form.
Passing through the point (2,7) and with slope ⅓
I may be heading the wrong direction with this one but I found a video that gave an example to use.
y=mx+b
and I have gotten this far with that ^
y=1/3x+ and then I've got nothing.

Click here to see answer by Fombitz(32388) About Me 

Question 1019896: Consider the function:
f(x)=x^2+4
a Will f(x) +4 have real zeros? Justify without any calculations.
b Will f(x) -5 have real zeros? Justify without any calculations.
c Will f(x-2) have real zeros? Justify without any calculations.
d Will f(x+4) have real zeros? Justify without any calculations.

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

Question 1019898: Please show work
Consider the function
f(x)=(x^2-1)/(x-3)
a Find the domain for the function in interval notations
b Find all vertical, horizontal and slant asymptotes
c Sketch the function

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

Question 1019897: Please show work.
Consider the function
f(x)=x^5-x^3
a Determine the behaviors as x→∞ and as x→-∞
b Find all zeros. What is the multiplicity of roots (zeros)?
c When will the function cross the x-axis? When will it cross the y-axis?

Click here to see answer by ewatrrr(24785) About Me 

Question 1019894: Define (g ο f)(x) for the following two functions:
f(x)= 2x-1
g(x)=x^2
evaluate the following:
(f ο g)(-1)
f(x)=2x+1
g(x)=5x-3


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

Question 1019906: Does x=0 define y as a function of x?
Click here to see answer by Boreal(15235) About Me 

Question 1019948: If f(x) = √x, g(x) = 6x-3 and h(x) = x/3, find the value of f(g(h(6))).
Click here to see answer by LinnW(1048) About Me 
Question 1019948: If f(x) = √x, g(x) = 6x-3 and h(x) = x/3, find the value of f(g(h(6))).
Click here to see answer by solver91311(24713) About Me 

Question 1019976: please help solve this question.
Consider the function
f(x)=(x^2-1)/(x-3)
a. Find the domain for the function in interval notations
b. Find all vertical, horizontal and slant asymptotes
c. Sketch the function
d. Solve the inequality
(x^2-1)/(x-3)<1

Click here to see answer by solver91311(24713) About Me 
Question 1019976: please help solve this question.
Consider the function
f(x)=(x^2-1)/(x-3)
a. Find the domain for the function in interval notations
b. Find all vertical, horizontal and slant asymptotes
c. Sketch the function
d. Solve the inequality
(x^2-1)/(x-3)<1

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

Question 1019973: fill in the function table using this function rule y=-6x+3
x y
-5
-1

0
1

Click here to see answer by solver91311(24713) About Me 

Question 1019924: John and Sarah are each saving money for a car. the total amount of money John will save is given by the function f(x)=60+5x. the total amount of money Sarah will save is given by the function g(x)=x^2+46. after how many weeks,x, will they have the same amount of money saved? explain how you arrived at your money.
Click here to see answer by robertb(5830) About Me 

Question 1020046: Consider the function
f(x)=x^5-x^3
Determine the behaviors as x→∞ and as x→-∞
Find all zeros. What is the multiplicity of roots (zeros)?
When will the function cross the x-axis? When will it cross the y-axis?
Please help with this.

Click here to see answer by solver91311(24713) About Me 

Question 1020077: Please show all work.
Consider the function

f(x)=x^5-x^3
a Determine the behaviors as x→∞ and as x→-∞
b Find all zeros. What is the multiplicity of roots (zeros)?
c When will the function cross the x-axis? When will it cross the y-axis?

Click here to see answer by stanbon(75887) About Me 

Question 1020089: Let f(x)=-5x-4 and g(x)=6x-7. Find f(x)+g(x).
Click here to see answer by LinnW(1048) About Me 

Question 1020031: Consider the function:
f(x)=x^2+4
Will f(x) +4 have real zeros? Justify without any calculations.
Will f(x) -5 have real zeros? Justify without any calculations.
Will f(x-2) have real zeros? Justify without any calculations.
Will f(x+4) have real zeros? Justify without any calculations.
i can it with calculations but i do not have idea how to do without calculation. I would love any help.

Click here to see answer by ikleyn(52794) About Me 

Question 1020083: A basketball team finds that if it charges $25 per ticket, the average attendance per game is 400. For each $0.50 decrease in price per ticket, attendance increases by 10. What ticket price yields the maximum revenue?
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 1020082: Find two real numbers whose difference is S and whose product is a minimum.
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 1020159: what's its domain -3x-15?
Click here to see answer by ikleyn(52794) About Me 

Question 1020275: Please show work
Consider the function
f(x)=x^5-x^3
Determine the behaviors as x→∞ and as x→-∞
Find all zeros. What is the multiplicity of roots (zeros)?
When will the function cross the x-axis?
When will it cross the y-axis?

Click here to see answer by Fombitz(32388) About Me 

Question 1020397: Write the equation of the parabola in vertex form, with an axis of symmetry of x=4 passing through (1,-13) and (-1,-45)

Click here to see answer by josgarithmetic(39618) About Me 

Question 1020461: Good morning. Please help me solve this question.
Approximately .25 of all glass bottles distributed will be recycled each year. A beverage company distributes 390000 bottles. The number still in use after t years is N(t)=390000(.5)^t. After how many years will 60000 bottles still be in use?
I think I'll need to solve for t and replace N(t) with 60000. I can not figure out how to solve for t when its the exponent. Please help. Thank you!

Click here to see answer by Cromlix(4381) About Me 

Question 1020625: Y=|x-3|-2
Click here to see answer by ikleyn(52794) About Me 

Question 1020671: f(x)=2√x-3
Click here to see answer by fractalier(6550) About Me 

Question 1020692: Find the requested function value.
f(x)=x-7/9, g(x)=7x+9. Find (g°f)(-20)

I am completely lost on the chapter and the book and teacher have been little help. Please help if you can.

Click here to see answer by Fombitz(32388) About Me 

Question 1020693: Find the specified domain.
For f(x)=x^2-16 and g(x)=2x+3, what is the domain of g/f?
I have 3 similar problems on my homework and have been unable to get any help from the book or teacher so far. I have also tried to look at examples online but am having a hard time finding one similar to this. I would greatly appreciate any help you can offer. Thank you.

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

Question 1020747: 1. For a given functions f and g, find the requested function and state its domain.
f(x) = 2x + 1; g(x) = 5x -2
Find f/g

Click here to see answer by robertb(5830) About Me 

Question 1020807: is y a function of x for y=-3x-1

Click here to see answer by FrankM(1040) About Me 

Question 1020966: How do the real zeroes relate to the x-intercepts of the quadratic function?
Click here to see answer by ewatrrr(24785) About Me 

Question 1020977: If g(x)=-x^2 determine the coordinates of the point of intersection of g(x) and its inverse algebraically
Click here to see answer by robertb(5830) About Me 

Question 1020754: find f(x + h), when f(x) = -3x + 5 / 7x +4

Click here to see answer by Fombitz(32388) About Me 

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