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

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Question 51202: Determine whether the relation is a function. If it is a function, state its domain and range.
{(�8, 7), (�5, �4), (�3, 3), (�3, 6)}
a. Domain: {7, �4, 3, 6}; Range: {�8, �5, �3}
b. Domain: {�8, �5, �3}; Range: {7, �4,3, 6}
c. Domain: {�8, �5, �3}; Range: 11
d. The relation is not a function.
Click here to see answer by jaime leigh(1)

Question 51184: If f(x) = 7x^5 - 3, then f ^-1(x) =
a. [(x + 7)/5]1/3
b. [(x + 3)/5]1/7
c. [(x + 5)/7]1/3
d. [(x + 7)/3]1/5
e. [(x + 3)/7]1/5
f. [(x + 5)/3]1/7
g. none of these
Click here to see answer by rapaljer(4671)

Question 51241:

Let S = the solution set for x� = 16.

and T=the solution set for x+2 = 16.

List the elements of each set. 

a.S � T b. S � T 


Click here to see answer by AnlytcPhil(1806)

Question 51251: f(x)=1/x-2
g(x)= 4/x
(fog)(x)
(gof)(x)
please can you show me how to do this problem?
Click here to see answer by venugopalramana(3286)

Question 51266: s=3t+1
find the range of the function if the domain is {-3,0,3}
Click here to see answer by AnlytcPhil(1806)

Question 51259: State the domain and range of f^-1 (x) given
a) f(x)= x+3
This is what I have tried so far:) I found the inverse of the question I think this is right.
y=x+3
x=y+3
x-y=3
-y=3-x
y=x-3
f^-1(x) = x-3 now I know I have to find the domain and range of f^1(x) =x-3 but I am extremely confused on how to do this I know x value is domain and y is range. Can you please help me find the correct answer.
Click here to see answer by Nate(3500)

Question 51260: State the domain and range of f^-1 (x), given
f(x)=(x-1)^2 +2 ** Please note their should be brackets around x-1 part** I'm not sure if the brackets will show up for you.
This is what I have tried so far. I tried to find the inverse I am not sure if i am right.
f(x)= (x-1)^2+2
y=(x-1)^2+2
(y-1)^2=x-2
y-1= +/- Square root x-2
y= +/- square root x-2+1
f^-1 (x) = +/- square root x-2+1
Now I think I have to find the domain and range of this f^-1 (x) = +/- square root x-2+1. I am not sure how to do this. Can you please check my work and see if it is ok so far and help me find the domain and range and if I have made a mistake can you help me correct it. Thank-you so much.

Click here to see answer by Nate(3500)

Question 51282: For the functions f(x) = 4x^2 - 4
and g(x) = -8x^2 + 4,
find f(g(-3)).
Click here to see answer by Nate(3500)

Question 51294: The weight of two books equals 39 pens. What is the answer.
Click here to see answer by mathchemprofessor(65)

Question 51311: i need help in that question. y=-2x+5. the topic is use function notation to write an equivalent equation
Click here to see answer by rapaljer(4671)

Question 51312: For the functions f(x) = 4x + 7 and g(x) = -9x + 11,
find f(g(0)).
For the functions f(x) = 3x2 - 7
and g(x) = -3x2 + 4,
find f(g(2)).
For the functions f(x) = 3x2 - 7
and g(x) = -3x2 + 8,
find g(f((-4)).
For the functions f(x) = 3x2 - 8
and g(x) = -7x2 + 5,
find g(f((-4)).

Click here to see answer by THANApHD(104)

Question 51384: state the domain of:
G(x)=(x^2-x-6)^(1/2)
Click here to see answer by stanbon(75887)

Question 51335: Given the functions and . Find each of the following:

g(-4)
f(-4)
f(5 + h) - f(5)
Click here to see answer by rchill(405)

Question 51221: Here is the problem: 5t+6+3(t+2)
I need to find the Communitive, Distributive, Addition, and Identity of this equation.
Here are my answers: (5t+6+3t+6)
Communitive: 5t+3t+6+6
Distributive: 8t+12
Is this correct?
Click here to see answer by venugopalramana(3286)

Question 51434: does th input-ouput table represent a function? If it does represent a function list the domain and range. If it does not represent a function explain why.
input 2 3 4 5
output1 5 9 13
Click here to see answer by music974(43)

Question 51626: Hi Could you please explain the steps of how to solve this problem for me? It would be greatly appericated... The x is suppose to be over 5 like a fraction but I can't type it as a fraction.
-22=x - 7
5
Click here to see answer by checkley71(8403)

Question 51632: In 1988 the world's tropical moist forest covered approximately 1056 million hectares (1 hectare=10,000 m squared). In 2004 the world's tropical moist forest covered approximately 896 million hectares. What was the average rate of change of the area of tropical moist forest over those 16 years?
Click here to see answer by checkley71(8403)

Question 51637: I have been having trouble on this problem for a while, i think i know the answer but i need to be sure.
What values are excluded from the domain of the function?

Thank you, hope to hear from you soon!

Sincerely,
matthew o'neill
Click here to see answer by rchill(405)

Question 51652: How do you determine the (2,2), (1,4), (3,6), (-1,2) are function, domain or range?
Click here to see answer by THANApHD(104)

Question 51677: how do you find f(x)=ax+b in which f(2)=1 and f(-3(=11?
from mathematics for the international student:Mathematics SL-section 1c
Click here to see answer by alka001(14)

Question 51689: f(x)= 3x+2 and g(x)= x-3
1. f(g(2))
i dont get how to do it
Click here to see answer by mathchemprofessor(65)

Question 51700: -3(0.234-x)=2(x+0.974)
Click here to see answer by tutorcecilia(2152)

Question 50948: I can't figure this problem out.
3x-2y if x=-2 and y=-6
Click here to see answer by joneshawna(1)

Question 51688: y=1/3x^3
How do I use the vertical line test to determine whether y is a function of x?
Click here to see answer by rchill(405)

Question 51795: We need help getting the answer to:
(6) (1 3/10) = _____
We think it is 7 4/5 but that is not one of the choices.
Can you help?
Click here to see answer by Nate(3500)

Question 51791: What is the minimum value for f(x) = 3x^2 + 12x + 25
a. 11
b. 12
c. 13
d. 14
e. 15
f. 16
g. 17
h. 18
i. none of these
Click here to see answer by Nate(3500)

Question 51800: Hi. I have no clue on where to start solving the following problem. I tried looking in my textbook, but that didn't help because the examples are so poorly written. The problem asked me to evaluate:
f(x) = 0, for f(x) = square root of (4x^2 - x).
Thank you so much for your help and time.
Click here to see answer by Nate(3500)

Question 51843: 3/4x-5=4
Please help me figure out this problem, I have been stuck on it for awhile.
this is what i've done but I do not have a clue if its right.
3(3/4x)-5=4
3x-5=4
3*3-5=4
9-5=4
x=3
Click here to see answer by checkley71(8403)

Question 51846: Here is another one i have been stuck on. Thank you for all of your help.
2(3x+2)+4
Click here to see answer by checkley71(8403)

Question 51851: Can you please help me with this question?I get lost.
((( 1/3(x-9)=-6 )))
Click here to see answer by checkley71(8403)

Question 51851: Can you please help me with this question?I get lost.
((( 1/3(x-9)=-6 )))
Click here to see answer by stanbon(75887)

Question 51892: Given K(x)=-5x-6
Find K(3)-K(x)/5
Can someone help me with this...please!
Click here to see answer by tutorcecilia(2152)

Question 51955: if F(x)=4-x and g(x)=2x+3, find value of x where F(x-2)=g(2x).
Click here to see answer by Nate(3500)

Question 51970: Please help me find for
So far, I got but I'm not sure how to continue solving it. The answer in the back of the book is or . I have no idea how to get to that answer. Thank you so much for your time and help!
Click here to see answer by josmiceli(19441)

Question 51966: Please talk me through how to put this in simplest form 2x^2y over xy-y
Click here to see answer by josmiceli(19441)

Question 52098:

Find the range:

y = 2x + 3    use {0, 1, 2, 3} as the domain 


Click here to see answer by AnlytcPhil(1806)

Question 52297:
Variables using input output 1 -> 3 2 -> 5 3 -> 9 4 -> 17 5 -> 33 How do you get the answer?

Click here to see answer by AnlytcPhil(1806)

Question 52317: P=IV
Click here to see answer by ChillyWiz(11)

Question 52414: what is the domain of the following function, and how do you get it?
f(x)=/3x-2/
Click here to see answer by Nate(3500)

Question 52499: THE FUNCTION f DESCRIBED BY f(c)=9/5c+32 GIVES THE FAHRENHEIT TEMPERATURE CORRESPONDING TO THE CELSIUS TEMPERATURE c. FIND THE FAHRENHEIT TEMPERATURE EQUIVALENT TO -10C.
Click here to see answer by Nate(3500)

Question 52503: write an equation of the line containg the specified point perpendicular to the indicated line: (4,5),7x-2y=1
Click here to see answer by stanbon(75887)

Question 52514: write an equation of the line containing the points indicated:(8,7)and(2,-1)
Click here to see answer by darq(90)

Question 52504: how do you find the real zeros and multiplicity of f(x)=-x^2(x^2-4)(x-5)? How do you determine whether the graph crosses or touches the x-axis at each x-intercept?
Click here to see answer by venugopalramana(3286)

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