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

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Question 619343: What is the domain of ((2x-6)/(15-5x))
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Question 619342: What is the domain of ((x-5)/(25-(x^2)))
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Question 619339: What is the domain of (((t^3)+8)/((t^2)+6t+8))
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Question 619747: Please help. Find the domain of the following function: h(x)=Log(4)x/4
Reads as Log, little 4, X all divided by 4. Any help greatly appreciated!

Click here to see answer by nerdybill(7384) About Me 

Question 619701: Suppose we are given two functions, say r(x) and s(x).
a) Is it true that r(x) + s(x) = s(x) + r(x) for all values of x? Why or why not?
b) Is it true that r(x) �� s(x) = s(x) �� r(x) for all values of x? Why or why not?
c) Is it true that r(0) = 0? Why or why not?
1

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Question 619821: What is the value of f(3) for the function f(x) = 8x – 5?
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Question 620346: A car travels at a constant speed of 60 km/h for hours, stops for half an hour and then travels for another 2 hours at a constant speed of 80 km/h, reaching its destination.
Construct a function that describes the distance travelled by the car, d (km), at time, t hours


Click here to see answer by lwsshak3(11628) About Me 

Question 620518: Find the domain of the composite function.
f(x)=square root of x ; g(x)=2x-5
Please help me with the above question for I have no idea on how to go about it.
Thank you!!

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Question 620668: If f(x) = 2x + 1 and g(x) = 3x - 4, find f[g(3)].

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Question 620708: Given the following piecewise function f(x)=[2x+4 for x<-3, -1 for -3<=x<=4, -x for x>4] find the domain. Find the range. Find the intercepts. Is f continuous on its domain? If not, state where f discontinues. Graph the function. Please show all work.
Click here to see answer by lynnlo(4176) About Me 

Question 621017: List the domain for the function f(x) = x2 - 4
Question options:

{x | x is a real number}

{x | x > 0}

{y | y > -4}

{y | y is a real number}

Click here to see answer by jim_thompson5910(35256) About Me 

Question 621018: Evaluate the function f(x) = x3 - 4x2 + 3x - 7 for x =-2

Evaluate the function g(x) = x2 - 5x + 2 for x =-1

List the range for the function {(-2,3), (-1,5), (0,7), (1,9)}.
Question options:

{-2,-1,0,1,3,5,7,9}

{-2,-1,0,1}

{3,5,7,9}

{1,3,5,7,9}

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

Question 621482: 4. Consider the following formula: a = 1/2 b - 4
Which of the following statements is true for this formula? 
A. When the value of b is less than 8, a is negative. 
B. When the value of b is greater than 8, a is negative. 
C. When the value of b is less than 8, a is positive. 
D. When the value of b is greater than 4, a is positive.

This is a sample question Im preparing for a test & I need the answer to be explained to me so that I.will be able to answer similar problems like this.

Click here to see answer by fcabanski(1391) About Me 

Question 621374: what is the Domain and Range of F(x) = X^2-4
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Question 621582: I need help with Domain and Funcitons, I'm not particularly sure how to deal with this specific problem!
https://docs.google.com/viewer?attid=0.1&pid=gmail&thid=137f808a0f70571d&url=https%3A%2F%2Fmail.google.com%2Fmail%2F%3Fui%3D2%26ik%3D3cdd276e34%26view%3Datt%26th%3D137f808a0f70571d%26attid%3D0.1%26disp%3Dsafe%26zw&docid=f1772cd3a5e316080c2476bacb3d335d%7C42640b2ee7d20ce141c6ec84526e5611&a=bi&pagenumber=1&w=1049
This is a homework question for my college algebra class. I really have no idea how to work this out!
I'm not sure how to do functions like this an I dont even recognize the Xe!

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Question 621627: Please help me to solve this aquation +h%28x%29=x%5E4-x%5E2+
Click here to see answer by lynnlo(4176) About Me 

Question 621878: Fx=5x-1 what is the value of F(4)
Click here to see answer by jim_thompson5910(35256) About Me 

Question 622145: what is the relation of (1,1)(2,3)(3,7)

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Question 622150: relation of (1,1) (2,3), (3,7) (4,15)
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Question 622160: relation of (0,-1) (1,3) (2,7) (3,11) (4,15) (5,19)

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Question 622355: I have to solve this algebraically, not by using a graph: A parabola has a vertex (8, 3) and one x intercept of 5. Determine the coordinates of the other x- intercept.
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Question 622385: Evaluate the function for x = 3a
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Question 622614: find the difference quotient f(x+h)-f(x)/h, for f(x)=2x^2+1
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Question 622664: Please help me with this I need this tomorrow.
For each of the following relations, indicate which relations are also functions.
1. {(2,5),(3,6),(4,7),(5,8)}
2. {(1,1),(2,8),(3,27),(4,64)}
3. {(1,4),(2,4),(3,5),(4,5)}
4. {(0,1),(0,2),(3,3),(3,4)}
5. {(a,6),(b,6),(c,6),(d,6)}
6. {(a,2),(a,4),(a,6),(a,8)}
Express each statement, using function notation.
13. How much do 3 kilograms of chicken cost, if it sells for Php 95/kilogram?
14. y is 500 when x=25
15. Find the value of y that corresponds to the value of x=12.
Let f(x)=3x-1 and g(x)=2x squared-4x+3. Evaluate the following:
16. f(6)
17. f(-5)
1
18. f(-)
3
19. g(5)
20. g(-1)
21. g(0)
1
22. g(-)
2
23. f(a-1)
24. g(a-1)
1
Let f(x)=3x squared and g(x)=-x squared-2. Evaluate the following:
2
25. f(0)
26. f(-2)
2
27. f(-)
3
28. g(-1)
29. g(4)
1
30. g(-)
2
31. f(5a)
32. g(2a)
33. f(a+2)
Note numbers 7-12 are not part of my assignment.
Many Thanks!

Click here to see answer by lynnlo(4176) About Me 

Question 622810: I am just super lost with this one.
Given the function f(x)=(x^2-8)/(x-3), if x=-2, what is f(x)? What point is on the graph of f?
i got -12/5;(-2,-12/5)

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

Question 622710: Find the domain of the composite function f g.
f(x)=√x;g(x)=4x=12
A) {x|x≤-3 or x≥0}
B) {x|x≥-3}
C) {x|x≥0}
D) {x|x is any real number}
could someone please assist me with this I have no clue

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

Question 623147: For the function f(x)=2x-3
Find and simplify
+%28f%28x%2Bh%29-f%28x%29%29%2Fh

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Question 623398: Part V: Logarithms
One important application of logarithms is found in various computer search routines. For example, a binary search algorithm on a table (or array) of data takes a maximum of log2n (“log base 2, of n”) steps to complete, where n is the number of data elements that can be searched. How many steps (at most) are needed for a search of a table with 16 elements? 512 elements? Explain.
The approximation of the natural logarithm of 2: ln 2 ≈ 0.693 is commonly used by applied scientists, biologists, chemists, and computer scientists. For example, chemists use it to compute the half-life of decaying substances. Based on this approximation and the power rule for logarithmic expressions, how could you approximate ln 8, without a calculator? Explain.

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Question 623428: if f(x)-2/3x+5, determine a formula for f^-1(x). draw the graph of each function on one set of axes?
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 623560: Find the value of x in the domain of f(x) = 6 − 4x for which f(x) = 8.
x = ?

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Question 623557: Given T(x) = 9, find the following.
(a) T(−3) = ?
(b) T(0) = ?
(c) T(2/7) = ?
(d) T(3) + T(1) = ?
(e) T(x + h) = ?
(f) T(3k + 5) = ?

Click here to see answer by nerdybill(7384) About Me 

Question 623701: Simplify each expression. Show any factoring and canceling, (2/3)(18m) please help I'm not sure where to start! Thank you!
Click here to see answer by ewatrrr(24785) About Me 

Question 623721: The sum of the length l and the width w of a rectangular area is 260 meters.
(a) Write w as a function of l.
w = ?
(b) Write the area A as a function of l.
A = ?
(c) Find the dimensions that produce the greatest area.
l = ? m
w = ? m

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

Question 623723: The range of f(x) = 5x2 + 25x − 55 is y > or equal to -345/4.

Determine the values of x in the domain of f for which f(x) = 15. (Enter your answers as a comma-separated list.)

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Question 623752: Solve by factoring and check the factor, x^2+1=-2x please help I don't know what to do! Thank you!
Click here to see answer by solver91311(24713) About Me 

Question 623758: Determine the range of the function f(x) = (8 x + 3)(x − 5)
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Question 623835: For the function
f%28x%29=+%282x-5%29%2F3
find f%5E-1%28x%29

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Question 623937: What is the domain and range of y = x+2/2x+1 ?
the answer must be in {x/x blah blah} form - don't know the name XD

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

Question 623942: What is the domain and range of y = 3/10-2x ?
the answer must be in {x/x blah blah} form - don't know the name XD
please provide solutions~

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Question 623940: What is the domain and range of y = 2x/5 ?
the answer must be in {x/x blah blah} form - don't know the name XD
please provide solutions~

Click here to see answer by solver91311(24713) About Me 
Question 623940: What is the domain and range of y = 2x/5 ?
the answer must be in {x/x blah blah} form - don't know the name XD
please provide solutions~

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

Question 623939: What is the domain and range of y = 3/10-2x ?
the answer must be in {x/x blah blah} form - don't know the name XD
please provide solutions~

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Question 623936: hi! what is the domain and range of y= 2/3x-2 ?
the answer in { x/x blah blah } form.

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Question 624582: relation of 0,3 1,5 2,11 3,21
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