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

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Question 189452: I understand solving equations but I am lost when it comes to finding the x-intercept of functions:
Please explain and answer this problem! Thank You!
y = (x - 4)(x + 2)
Click here to see answer by josmiceli(19441)

Question 189454: the domain of the function
sqrt x(x-3)is
write the answer in interval notation.
i would also like to know what it means by write the answer in interval notation.
Click here to see answer by vleith(2983)

Question 189565: which of these equations is y a function of x?
y=3xcubed, xy=1, ysquared=x, ycubed=8x
Click here to see answer by user_dude2008(1862)

Question 189596: Write a rule to find the total cost C(a) for all the books a person buys through book express. Let a represent the number of additional books bought ( after the first 6 books).
Click here to see answer by feliz1965(151)

Question 189643: Determine the domain and range of the function given by f(x) = square root of 16-x^2. (graphing the the function on the calculator could be useful)
Click here to see answer by user_dude2008(1862)

Question 189647: determine whether the function f(x)=3x^3-5x is even, odd, or neither. b) name the graph family for this function.
Click here to see answer by jim_thompson5910(35256)

Question 189649: A) Sketch the graph of the function. B) based on the apperance of the graph, determing whether the function is even, odd, or neither. C) This function is known as a, ______wise function.
f(x)= 2-x, x< or equal to 0
2,0 < x < or eual to 3
8 -2x, x>3
Click here to see answer by jim_thompson5910(35256)

Question 189666: I am having problems finding the vertex of this problem.. could someone please help.
Problem : Consider the Quadratic function f(x)=4x^2-64. Its vertex is ( ? , ?) Its x-intercepts are x= (?,?) Its y- intercept is y= ?
How do you find the vertex from an equation like this, I know the formula f(x) = (x-h)^2+k plays a part but I am not sure how it relates to the equation.
Click here to see answer by jim_thompson5910(35256)

Question 189673: I am having problems finding the x-intercepts of the following problem.
Problem : Consider the Quadratic Function of f(x)= x^2-4x-32. Its vertex is ( ?, ?) its x-intercepts are (?,?) , its y-intercept is (?)
Ok, I figured out the vertex of the problem which are ( 2,-36) and the y-intercept which is (-32) but I am not sure how to get the x-intercepts. Could someone please help me?
Click here to see answer by jim_thompson5910(35256)

Question 189750: input, x , 2 ,5 ,7 ,9 ,12
output y, 5 ,2,0 -2,-5
whats the expereeion thanks
Click here to see answer by stanbon(75887)

Question 189802: I have no clue as to what they are asking. Could you please help me with this one and break it down for me? Thank you.
(5,4) (3,2) (-1,1) (-3, 5)
Domain = __________
Range = _____________
Click here to see answer by nerdybill(7384)

Question 189898: find the coordinates of the vertex
y=3x^2
Click here to see answer by jim_thompson5910(35256)

Question 189898: find the coordinates of the vertex
y=3x^2
Click here to see answer by nerdybill(7384)

Question 189896: find the coordinates of the vertex
y=3x^2
Click here to see answer by jim_thompson5910(35256)

Question 189883: Tell whether the graph opens up or down write an equation of the axis of symmetry
y=4x^2-4
Click here to see answer by nerdybill(7384)

Question 189883: Tell whether the graph opens up or down write an equation of the axis of symmetry
y=4x^2-4
Click here to see answer by Mathtut(3670)

Question 189950: Hello,
I will first write the task and then what I have tried!
f(x)=(3x^2-3)/x^2-16)
(a) Find the domain.
(- infinity, -4) U (-4,4) U (4, infinity)

(b) Determine the vertical asymptote(s).
x= -4 and x= 4, those are the vertical asymptotes!
(c) Determine the horizontal asymptote or oblique asymptote.
Y = 3/1
The numerator is dominated by 3x2 and the denominator is dominated by x2
Since it states P(x)/Q(x), it must be 3/1

(d) Find the y-intercept.
(e) Find the x-intercept(s).

I tried a-c and hope it is correct, but I don't know how to find the intercepts with this number or I am just confused since we have done intercepts at the beginning of the semester...

Click here to see answer by cutepiscean5(19)

Question 190642: g(x)= 3/9-5x (this looks like a fraction)
What is the domain of the function?
Click here to see answer by stanbon(75887)

Question 190629: Find the domain of the function.
p(x)=x(to the second power)-2x+1
What is the domain of P?
Click here to see answer by stanbon(75887)

Question 190945: State the domain of the following:9(x)=5x/x^2+25
Click here to see answer by user_dude2008(1862)

Question 191119: Determine whether the following is a function.
domai............Every dog in the world
Correspondence...Names
Range............Rover, sparky, fido, etc
Is it a function yes or no
Click here to see answer by solver91311(24713)

Question 191109: Find the indicated outputs for f(x)=5x 2squared - 4x
f(0) =
f(-1) =
f(2) =
Click here to see answer by Alan3354(69443)

Question 191174: a playground slide has a rise of 10ft and a run of 12ft.what is its slope?
Click here to see answer by Alan3354(69443)

Question 191222: what is the domain of f(x)=sqrt(x+6)
Click here to see answer by stanbon(75887)

Question 191326: I just learned Composite functions last class and I am really struggling with it... Is there any way you can show me how to do this with steps so that I can see exactly how this is done please.
Let f(x)=x/x-1, g(x)=-4/x, and h(x)=3x-2
Find the domain of f
Find the domain of g
Find the domain of h
Find (fog)(x)
Find the domain of fog
Find (fog)(2)
Find (goh)(x)
Find the slope of h(x)
Determine whether h(x) is an increasing, decreasing or constant function
Find h^-1(x)
Click here to see answer by stanbon(75887)

Question 191342: Solve by using the quadratic formula.
1. x^2-4x=21
Click here to see answer by checkley75(3666)

Question 191362: State the domain:
k(x) = 3x-3 / x + 2
Click here to see answer by Mathtut(3670)

Question 191357: Hi tutor,
Here are my headaches. State the domain.
m(x)= 5x -7
Click here to see answer by Mathtut(3670)

Question 191358: state the domain:
g(x)= 5x / x^2 + 25
Click here to see answer by Mathtut(3670)

Question 191733: I'm struggling in math. What is the domain of k(t)=5t^2-6t+2?
thank you
Click here to see answer by jim_thompson5910(35256)

Question 191837: Which relation is also a function?
A) (3,-3), (4,-3), (2,-3)
B) (1,7), (8,4), (-3,-4), (1,4)
C) (2,0), (2,3), (2,8), (2,-3)
D) (1,-1), (0,0), (1,0), (0,-1)
Click here to see answer by nerdybill(7384)

Question 191895: witting equation on line
passing through (-2,4)and(6,-9)
Click here to see answer by jim_thompson5910(35256)

Question 192113: Use composition of functions to show that the functions f(x) = 5x � 2 and g(x) = (x+2)/5 are inverse functions. That is, show that (f of g)(x)=x and show that (g of f)(x) =x
I am not sure how to approach this assignment!
Click here to see answer by jim_thompson5910(35256)

Question 192136: Find the domain of the function
f(x)=
5x-1
-----
x^2-16
Click here to see answer by RAY100(1637)

Question 192158: Find the domain of f(x) = 5x+1/x^2+5x-14
Click here to see answer by Mathtut(3670)

Question 192158: Find the domain of f(x) = 5x+1/x^2+5x-14
Click here to see answer by RAY100(1637)

Question 192184: Hello,
I just want to doublecheck my answers if someone can help me.
Solve the following for x (use quadratic equation or factor out):
4x^3-8x^2=0
My answer was that there are No solutions to this problem
The other problem was:
5x^2-3x+6=0
My answer was the following:
using the quadratic equation I came out with
3-+SQRT(-3)^2-4(5)(6)/2(5)
= 3-+SQRT111/10
Since the SQRT of 111 is 10.525 it would not be a R number, thereby No solution either.
Please let me know if I have that right; it would be greatly appreciated.
Thank you,
Gryhd
Click here to see answer by jim_thompson5910(35256)

Question 192313: Find the domain and range (write in interval notation) of the given function using knowledge about the inverse function. f(x)=2x+1/3x-5
Click here to see answer by abraham(1)

Question 192357: a.solve.
5x2=35
b.find the x-intercepts of f(x)=5x2-35
Click here to see answer by Mathtut(3670)

Question 192505: Is this a function. I don't know how to determine
y=-3x-3

yes or no
Click here to see answer by stanbon(75887)

Question 192504: I am having trouble determining whether this is a function or not. Can someone help please.
y=-2x-1
yes or no
Click here to see answer by stanbon(75887)

Question 192508: z^2=-36 I got 6 and negative 6. It that correct.
It should say z squared equals negative 36.
Please help
Click here to see answer by stanbon(75887)

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