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

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Question 394857: what is the domain of the function:
squareroot(5-X)/(x^2+8x-9)
Click here to see answer by stanbon(57962)

Question 394871: Suppose you are given the two functions f(x)=4sqrt(x)+2 g(x)=x^2+3
Determine the expression g*f(x) = g(f(x))
Click here to see answer by edjones(7569)

Question 394945: f(-5)
Click here to see answer by Alan3354(31515)

Question 395007: 1 Write the area of a square, A, as a function of its side, x.
Click here to see answer by ewatrrr(10682)

Question 395012: 7- Express the distance d traveled at 50 mi/h as a function of t (in hours).
Click here to see answer by Alan3354(31515)

Question 395009: 6- The cost of running a manufacturing plant is $10,000 per day plus $20 for each unit produced. Write the daily cost C as a function of x, the number of units produced.
Click here to see answer by ewatrrr(10682)

Question 395032: Find the difference quotient f(x+h)-f(x)/h, where h cannot be equal to 0 , for the function below.
f(x)=2x^2-x

Simplify your answer as much as possible
Click here to see answer by stanbon(57962)

Question 394207: A certain function f has the property that f(x + y) = f(x) + f(y) for all values of x and y . which of the following statements must be true when a = b ?
I f(a + b) = 2 f(a)
II f(a + b) = [f(a)]^2
III f(b)+ f(b) = f(2a)
(A) none
(B) I only
(C) I and III only
(D) II and III only
(E) I II, and III

Click here to see answer by robertb(4012)

Question 395204: determine whether f(x) = (x^2)/((x^2)-4) is continuous or not at x=2. give your reason
Click here to see answer by robertb(4012)

Question 395449: okay my teacher aske me to take an equation and first solve for y then rewrite it in function notation then find the intercepts.
the equation im solving is : 2x-8y=12
heres what i did but there is no answer key to check my work if im even doing it right.
2x-8y=12 let x represent 0 "i just chose any # for this"?
= 2(0)-8y=12
= -8y/-8y=12/-8y
= y=-1.5 so to put it into function notation would it be {f(0)=-1.5}?
thats the part im confused about..
Click here to see answer by rfer(12729)

Question 393300: Which of the following relations is a function?
A. {(-4, 3), (-4, 2), (1, 9), (6, 7)}
B. {(-4, 3), (-2, 0), (2, 7), (3, 9)}
C. {(2, 1), (4, 2), (2, 3), (8, 4)}
D. {(0, 0), (0, 1), (2, 3), (4, 5)}
Click here to see answer by danieleggleton26@yahoo.com(2)

Question 395524: g(x)=5/4-9x find the domain of the function
Click here to see answer by robertb(4012)

Question 395658: I would greatly appreciate any help with this problem!
Find f(g(x)) and g(f(x)) and determine if f and g are inverses.
f(x)= 2/x-5
g(x)= 2/x +5
Thank you very much!
Click here to see answer by solver91311(17077)

Question 396108: Use the equation 12x-2y=16 to answer the following:
A)Write the equation in slope-intercept form.
B)Identify the slope of the equation.
C)Identify the y-intercept.
Click here to see answer by Alan3354(31515)

Question 396156: 12x^2-5x=3 how do u solve this equation by factoring?
Click here to see answer by nerdybill(7003)

Question 396155: 24x^2-15=2x how do u solve this equation using a function?
Click here to see answer by richard1234(5390)

Question 396613: I need to graph this function rule, but I have no idea how to make a table of values with a fraction in it?
y = 3/4x + 2
Click here to see answer by Alan3354(31515)

Question 396635: Hello,
What about if I know some values for x and y and I want the function? Example: I want to build a curve, arc segment; and I know that when:
x=1 y=2
x=2 y=1
We could say y = 3-x, but that isn't a curve.
So, how do I get the curve?
Thanks for the attention!
Click here to see answer by Alan3354(31515)

Question 396780: I am being told to verify that a function is the inverse of function The first step reads "The function notation f(x) can be rewritten as____________. Choose x or y." Then we are to "Rewrite the equation you wrote in Step One with the variables reversed. Solve for y."
Click here to see answer by solver91311(17077)

Question 396903: What is the domain of (5x+3)/(2x)?
Click here to see answer by stanbon(57962)

Question 396938: For each pair of functions f and g below, find f(g(x)) and g(f(x)). Then, determine whether f and g are inverses of each other.
f(x)= 2/x, x is not equal to 0
g(x)= 2/x, x is not equal to 0
f(g(x))=
g(f(x))=
Are they inverses of each other? Thanks
Click here to see answer by stanbon(57962)

Question 396993: solve:
D(h)=5e^(-0.4(1))

Click here to see answer by stanbon(57962)

Question 396562: f(x)=3x^2-2x
f(0)=3(0)^2-2(0)=0
likewise for f-(-1), let x=-1 f(-1)=5 i don't undestand how they came up with 5
finally (2)=2(2)^2-2(2)=8
Click here to see answer by richard1234(5390)

Question 397243: I help on:
give an example of at least 4 ordered pairs that does not model a function.
thank you for your help.

Click here to see answer by stanbon(57962)

Question 397332: Find the intersection of the line through the points (7,10) and (4,2) with the line y=x. The point of intersection is (A,B) where A=? and B=?
Click here to see answer by ewatrrr(10682)

Question 397906: Given the function f(x)=1/3x, find the value of f(-6)
Click here to see answer by MathLover1(6810)

Question 397870: I did the following problem, but I am not certain I did it correctly. I am hoping a tutor can double check this for me, and put me on the right path if it is wrong. Any help would be greatly appreciated! Here is the problem:
Find f^-1(x)
f(x)= (2x-3)/(x+1)
Here's how I did it:
f(x)=2x-3/(x+1)
y=2x-3/(x+1)
x=(2y-3)/(y+1)
xy= (2y-3)/(y+1)*y
xy= 2y-3
xy-2y=-3
y(x-2)/(x-2)=-3/(x-2)
y=-3/(x-2)
so f^-1(x)= -3/(x-2)
Ok...Is this correct, or do I need to go back to the drawing board? Could someone please show me how to check these? Thank you!

Click here to see answer by Alan3354(31515)

Question 398046: What is the domain of the function: sqrt(x(x-7)). Write the answer in interval notation.
Click here to see answer by dnanos(83)

Question 398090: if f(x)=3xcubed-xsquared+8x-1,
Find f(a+h)-f(a)
____________
h
Click here to see answer by Tatiana_Stebko(1326)

Question 398183: Find the slope and the y-intercept of the line. Write fractional answers in lowest terms. 6y+3x+3=5+3x
The slope is_______________
The y-intercept is ______________
Click here to see answer by ewatrrr(10682)

Question 398180: find an equation of the line having the given slope and containing the given point. m=-2,(3,6)
Click here to see answer by nerdybill(7003)

Question 398197: Express the given function as a composite of functions f and g such that
y= f(g(x).
y=(-9x+3)^7
Click here to see answer by stanbon(57962)

Question 398217: what is the domain and range of [(-6,5), (4,8), (9.3)]
Click here to see answer by stanbon(57962)

Question 398186: Write an equation of the line containing the given point and parallel to the given line. The equation of the line is y=_____________. (Simplify your answer. Type answer in the form y=mx+b using integers or fractions.
Click here to see answer by Alan3354(31515)

Question 398252: find the domain: g(x)=(x+9)/(x^2+16)
Click here to see answer by MathLover1(6810)

Question 398252: find the domain: g(x)=(x+9)/(x^2+16)
Click here to see answer by josmiceli(9817)

Question 398847: Multiply the number of minutes Mr. Frotout spent on long-distance calls by $0.45, the long-distance rate. Then add $33, the flat monthly charge.
Click here to see answer by checkley79(3056)

Question 399415: The polynomial function f is defined by f(x)x^4-3x^3-2x^2+4x+5.
Use a graphing calculator to find all the points (x,f(x)) where there is a local maximum.
Round to the nearest hundredth
Click here to see answer by stanbon(57962)

Question 399525: 7/15 + 5/6
Click here to see answer by algebrahouse.com(1079)

Question 399530: Find all the zeros of the function
f(x)= 2x(x-4)^2(x-2)^2
Click here to see answer by edjones(7569)

Question 399523: 2 3/4 + 6 5/8
Click here to see answer by josmiceli(9817)

Question 399523: 2 3/4 + 6 5/8
Click here to see answer by edjones(7569)

Question 399515: domain of: (x-2)/(x-6)
It has been a long time since I did domain and range...so I need help with how to determine the domain and range of this problem.
Click here to see answer by edjones(7569)

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