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

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Question 964217: If f(x) = -7x + 5x2 + 10, what does f(-2) equal?
Click here to see answer by amarjeeth123(569)

Question 964185: The function f is defined by f(x)= (5+x)/(-2+3x). Find f(4x)
Click here to see answer by amarjeeth123(569)

Question 964109: Let f(x)=4x^2 and g(x)=x-(3/x). Evaluate: a) (f-g)(3) b) (f/g)(3) c)
(f◦g)(3)
Click here to see answer by amarjeeth123(569)

Question 964343: Hi,
I am wondering, if you have the function:
f(x) = x/x^2-4
How do I find the domain? I think x cannot be equal to 0?
Please help!
Click here to see answer by macston(5194)

Question 964309: Which set of points does not represent a function?
A. (2,8) (-1,0) (-2,7) (1, -5)
B. (1,4) (6,3) (8,-5) (-4,0)
C. (3,-3) (1, -8) (3,1)(6,2)
D. (7,2) (1,-1) (8,9) (0,9)
Click here to see answer by hkwu(60)

Question 964200: How to calculate the relative amounts of colour needed for a diamond shape?
As part of our assignment we have to create our own design for a quilt and I choose to do a diamond, but I need to calculate the amount of colour I would need but I do not know how to do it.
The functions that I have used to create the outer diamond are:
y=x+15 (-15< x <0)
y=-x-15 (-15< x <0)
y=x-15 (0< x <15)
y=-x+15 (0< x <15)
These functions are for the inner diamond:
y=x+10 (-10< x <0)
y=x-10 (0< x <10)
y=-5/5x+10 (0< x <10)
y=-5/5x-10 (-10< x <0)
Click here to see answer by KMST(5328)

Question 964496: Need help with solving problem: Given f(x)=1/x and (f/g)(x)=(x-2)/(x^2+7x), find the function g.
Click here to see answer by josgarithmetic(39618)

Question 964544: for f(x)=-3x+7, find the value of x that leads to the given value of f(x).
f(x)= 5/2
Click here to see answer by stanbon(75887)

Question 964542: for f(x)=-3x+7, find the value of x that leads to the given value of f(x).
f(x)=6
Click here to see answer by t0hierry(194)

Question 964571: Please help!!
Find f(x + 1) when f(x)= (x^2-4)/(x+4)
Click here to see answer by Murthy(22)

Question 964539: evaluate g(x)=2x^255x at the given value of x.
g (-3)
Click here to see answer by Fombitz(32388)

Question 964578: When f(x)=3x. Evaluate the following: f(3)−f(−3)/3−(−3)
Click here to see answer by Fombitz(32388)

Question 964638: I need help writing a function from a word problem. The question states: A piece of wire 30 in. long is bent to form a rectangle. If one of its dimensions is x in., express the area as function of x.
Click here to see answer by Fombitz(32388)

Question 964693: Find the value of b, the y-intercept, in the function 2x-y=4
Click here to see answer by macston(5194)

Question 964705: A small manufacturing business is started. Initial cost is $3300.00 The product costs $4.50 to manufactured.
A. Write a cost function where x represents the number of items manufactured.
b. What is the revenue function if each item sells for $10.50.
c. what is the profit function?
d. How many items must be manufactured and sold to earn a profit?
Click here to see answer by ankor@dixie-net.com(22740)

Question 964915: find the slope of the tangent line to the following curves at the designated points:
f(x)= x^2+x ,(2,-3)
y^4-4y^2=x^4-9x^2 ,(3,2)

Click here to see answer by Fombitz(32388)

Question 964913: Use the definition of the derivative to find f ′(x) if
f(x)=-4x^2+9x+2.
f(x)= x/x+1

Click here to see answer by Fombitz(32388)

Question 964751: y= 7/(x-4) what is the domain and range of this equation.
ex: Domain = (-infinity, infinity) etc
Click here to see answer by Fombitz(32388)

Question 965179: Q- f(x)=3x^4-8x^3+6x^2+1
Show that f ′(x) = 12x (x-1)2
Find the intervals on which f (x) is increasing or decreasing.
Find the local maximum and minimum of f (x), if any.
Show that f "(x) = 12(x-1)(3x-1)
Find the intervals on which the graph of f (x) is concave up or concave down.

Q-Use the logarithmic differentiation to differentiate the function
y= cube root x(x+1)(x-2)/(x^2-2)(2x+3)

Q- differentiate the following function:
f(x)=(x2+1)cube root x^2+2
f(x)= (x+1)^4/squer root x^2-1

Click here to see answer by Fombitz(32388)

Question 965270: for f(x)=4x and g(x)=^4-8, find each of the following
a. (g*f)(-2)
b. (f*g)(2)
c. (g*f)(x) simplify
d. (f*g)(x) simplify
Click here to see answer by MathLover1(20850)

Question 965831: find the domain and range of the function: 19(square root of x-13)
Click here to see answer by Fombitz(32388)

Question 965833: help would really be appreciated. let f(x)=2x^2+4x-30/(over)x-3. show that f has a removable discontinuity at x=3 and determine what value for f(3) would make f(x) continuous at x=3. so f(3)=
Click here to see answer by Fombitz(32388)

Question 965878: I need to double check this.
"Jacob has not paid his $320 credit card bill and it was sent t collections. His interest rate is 43% compounded daily.
Write an exponential function that models this situation where Y is the balance of Jacob's account and X is the time in years."
PLEASE HELP ME! I know the answer is supposed to be Y=?????
I used a formula and got(1+45 x 365/100)^n=p(15795/100)^n.
Im pretty sure this is not the answer. Again please me, and as always, THANK YOU!!
Click here to see answer by Fombitz(32388)

Question 965888: A graph of f(x)=ax^2+bx+c and its turning point is S(1;18).P and T are x-intercepts of f.The graph of g(x)=-2x+8 has an x-intercept at T.R is a point of intersection of f and g.What is the equation for f in the form of f(x)=ax^2+bx+c

Click here to see answer by Fombitz(32388)

Question 965663: The problem is... Write an equation for a linear function whose graph has the given characteristics. Passes through (2,5), parallel to the graph of g(x)=4x-7. If you can help me with the steps i would appreciate it. I can't figure out how to do this one? thank you in advance for your help, i look forward to hearing from you!!
Click here to see answer by ankor@dixie-net.com(22740)

Question 965948: Use the logarithmic differentiation to differentiate the function:
y= ∛((x(x+1)(x-2))/((x^2-2)(2x+3)))

Click here to see answer by t0hierry(194)

Question 966186: Write the function whose graph is the graph of , but is shifted to the left 7 units.
Click here to see answer by josgarithmetic(39618)

Question 966384: Please help
Given the function f(x) = -3x2 - 6x - 6, is the point (-1, -3) on the graph of f?
Yes or no. I think No but I don't know for sure.
Click here to see answer by Fombitz(32388)

Question 966382:
Given: E=I/R and P=IE with the values: P=10 and E=100 What are the values for I and R?
Click here to see answer by rothauserc(4718)

Question 966469: If f(x) = x(x+2), find (f(x+h)-f(x-h))/2h
Click here to see answer by MathLover1(20850)

Question 966617: find the domain and range of f(x)=square root of x-3
Click here to see answer by josgarithmetic(39618)

Question 966865: What are the real zeros of the function
I know you have to find the common factors but im not sure what to do after?
please show your steps on how you solved this thank you!
Click here to see answer by ikleyn(52794)

Question 966877: Find the inverse of f(x)=2^x.
What is the domain and range of f(x)=2^x and its inverse?
Click here to see answer by Fombitz(32388)

Question 967124: Which of the following is a function:
A. The height of a student in your school is related to the shoe size of that student.
B. The hair length of the student in your school is related to the height of the student.
C. The color of hair of a student in your school related to the age of the student.
D. The student ID number of a student in your school related to the full name of that student.
Click here to see answer by stanbon(75887)

Question 967099: Please help me with this problem: Two fifths of the sum of a number and 4, plus -7 is -16. Write an equation that can be used to determine the number and then determine the number.
Click here to see answer by ankor@dixie-net.com(22740)

Question 967149: A certain polynomial function f(x) of degree 2 has zeroes at -3 and 5, and f(2)=-30. What is the polynomial function f(x)?
Click here to see answer by josgarithmetic(39618)

Question 967150: Given f(x)=nx^2-12x+9n where n is a real number. What is the value(s) of n such that this quadratic has ONLY ONE REAL root.
Click here to see answer by josgarithmetic(39618)

Question 967148: If a sequence is defined recursively by k(0)=2 and k(x+1) = 3k(x)-5 for x is greater than or equal to 0, then k(3) is equal to what value?
Click here to see answer by stanbon(75887)

Question 967933: Please help -
If f(x) = 2x + 1 and g(x) = x2, what is f ○ g? What is g ○ f?
Click here to see answer by MathLover1(20850)

Question 967940: Please help me solve this equation:
Consider f(x) = x2 + 3, x < 0. What is the inverse of this function?
Click here to see answer by josgarithmetic(39618)

Question 968005: If alpha and wita are the zeroes of 2xsquare+5x-10 then what is the value of alpha*wita?
Click here to see answer by stanbon(75887)

Question 968215: If f(x)= 1/x, find f(x+h)-f(x)
Thanks
Click here to see answer by Fombitz(32388)

Question 968351: Given a 10 cm by 20 cm piece of paper, if you cut out four equal squares from the corners and fold up the resulting sides you will create an open box. Write an expression for the volume of this box in terms of the side length of each cut‐out square, x.
Click here to see answer by Theo(13342)

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