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

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Question 968481: Please help,
Consider the function f(x) = x2 − 1. Find the equation of the tangent to the graph of f(x) at x = 3. [NOTE: when calculating f′(3), use first principles.]

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Question 968464: Is it possible that f'(1)=1? and also is it possible that f'(1)=1/4 ? thanks in advance.
Click here to see answer by Fombitz(32388) About Me 

Question 968572: if f(x+y)=f(x)+f(y) and f(1)=5 then f(7)=?
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Question 968376: what is the domain of y= 10?
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Question 968700: given f(x)=x-6/5 and g(x)=5x+6, find (g*f)(x) show work
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Question 968719: Determine whether or not the function is one to one
F(x)=x^2 -3

Yes. No. Explain

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Question 968742: Find either. Linear or an exponential function that models the data in the table.
X 0 1 2 3 4
Y 5 20 80 320 1280
A) f(x)=4(5)x
B) f(x)=15x+5
C) f(x)=5(4)^4
D) f(x)=1/15x+5

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Question 968779: Find a symbolic representation for f^-1(x) show work?
F(x)=2x^2-3

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Question 968784: Determine whether or not the function is one to one.
f (x)=x^2-3

Click here to see answer by MathLover1(20849) About Me 

Question 968821: steve is planning a garden with a length that is 8 meters longer than its width. the garden will have an area of 660m^2
Click here to see answer by checkley77(12844) About Me 

Question 968869: For f(x)=2x^3-5x+3x-1
What is f(x)?
What is f(2)?

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Question 968878: What is the domain and range of the function f(x)=-2x-7. And how do you get those answers?
Click here to see answer by Edwin McCravy(20054) About Me 

Question 968895: Which of the following functions does not have a range of only the real numbers greater than or equal to zero?
a) f(x)=ABSOLUTE X-4
B) F(X) = SQUARE ROOT 4-X
c) F(X) = log(x)
d) f(x) = x^4

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Question 969084: Write the function in the form f(x)=a(x-h)^2+k by completing the square . F(x)=x^2+16x-9
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Question 969116: What is the negative solution of 2x^2+x=3?
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Question 969113: factor the expression x^4+6x^2-7 completely
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Question 969596: Sketch a graph of a function that has a horizontal asymptote of y=5, a vertical asymptote of x=2, an x intercept of -1, and a hole when x=1 and give one possible equation for it.
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Question 969599: The decibel level of a sound with intensity x watts per square centimeter is given by the formula D= 10 log(10^16x).
a) Normal conversation is about 60 decibels. What is the sound intensity of normal conversation?
b) A loud car is 85 decibels. How many times more intense is the loud car than normal conversation?

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Question 969677: A bank loaned out $58,000, part of it at a rate of 13% per year and the rest at a rate of 8% per year. If the interest received was $6290, how much was loaned at 13%?
Click here to see answer by lwsshak3(11628) About Me 

Question 969857: Suppose you have $1000 invested in a fund that pays 6% per year compounded monthly. a) Write an equation for the function that fives the value of the investment after "m" months. I came up with V=1000(1+0.06 divided by 12)^m
b) Then, Find an equation for the inverse of the function found in part (a).

Click here to see answer by stanbon(75887) About Me 
Question 969857: Suppose you have $1000 invested in a fund that pays 6% per year compounded monthly. a) Write an equation for the function that fives the value of the investment after "m" months. I came up with V=1000(1+0.06 divided by 12)^m
b) Then, Find an equation for the inverse of the function found in part (a).

Click here to see answer by Boreal(15235) About Me 

Question 969892: Suppose that the functions q and r are defined as follows.
q(x)=x^2+3
r(x)=sqrt(x+2)
Find the following.
1. (r ◦ q)(2)=?
2. (q ◦ r)(2)=?

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Question 969893: Suppose that the functions q and r are defined as follows.
q(x)=x^2+3
r(x)=sqrt(x+2)
Find the following.
1. (r ◦ q)(2)=?
2. (q ◦ r)(2)=?

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Question 969895: Suppose that the functions u and w are defined as follows.
u(x)=-2x-2
w(x)=x^2-1
Find the following.
1.(w ◦ u)(1)=?
2.(u ◦ w)(1)=?

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Question 970044: This problem is worded awkward by professor but...I need to find a functions f(x) and g(x), neither of which are the identity function, such that f(g(x))= 1 over sqr root of 1-x^2. HELP!!!
Click here to see answer by Fombitz(32388) About Me 

Question 970078: 1. Glenn collected 3 more bags of bottles for recycling than Paula did. They collected a total of 25 bags of bottles for recycling. How many bags did Paula collect? The domain of the solution is {0, 4, 11, 22}.
Click here to see answer by macston(5194) About Me 

Question 969998: Find all real zeros of the functions f(x)=x^4-10x³+36x²-54x+27 and h(x)=x^4-4x³-9x²+16x+20
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Question 970467: The following is a guideline, make the situation your own: Real Life Situation- Plumber charges a flat rate of $60.00 and $40.00 for each additional hour. Function is y = 40x + 60
State the function, real life situation, and define your variables (1 point)
Input/Output table with 8 values (2 points)
Graph of the function with clearly labeled x- and y-axes. (2 points)
Find the domain and range (2 points)
Conclusion (1 points)

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Question 970518: Given h(x)=2x to the power of 3 minus 5x to the power of 2 minus 4x plus 3. Find the intercepts of h(x)
Click here to see answer by MathLover1(20849) About Me 

Question 970813: does the equation x^2 +y^2=16 define y as a function of x?
Click here to see answer by josgarithmetic(39613) About Me 

Question 970872: Hallar la función inversa y hacer su demostración. Realizar las gráficas correspondientes(ésto no lo necesito).
f(x)= 1/(3x-2)
y=1/(3x-2)
Se despeja "x":
Aquí es donde ya no sé qué sigue, mi maestro me confundió.
Lo desarrollo de la siguiente manera: x= ({1/y}+2)/3
¿Cuál es el despeje correcto?

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Question 970909: f(x)=x^2 -12x+35 / x^2 + 3x-18
Find all values of
x
that are NOT in the domain of
f
.
If there is more than one value, separate them with commas.

Click here to see answer by stanbon(75887) About Me 
Question 970909: f(x)=x^2 -12x+35 / x^2 + 3x-18
Find all values of
x
that are NOT in the domain of
f
.
If there is more than one value, separate them with commas.

Click here to see answer by Boreal(15235) About Me 

Question 971011: hola quisieran que me ayudaran con esta función tengo que encontrarle el dominio el rango es: y=log3(x-1) por favor ayúdenme lo mas rápido posible
Click here to see answer by josgarithmetic(39613) About Me 

Question 971041: hola me pueden ayudar con el siguiente ejercicio de buscarle la simetria, los intersectos y la inversa de este ejercicio:y=log3(x-1)
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Question 971116: If f(1)=8 and f(n)=1/2f(n-1)+2 then which of the following is the value of f(3)?
Click here to see answer by amarjeeth123(569) About Me 

Question 971156: a plane's distance in meters is described by the function s(t)=220t-15t^2-60In(t+1).
1)Find a function that describes the speed of the plane
2)Find the value of time when the speed is 100ms^-1

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Question 971300: -15 = (x + 6) can someone please help????
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Question 971378: not sure if you can help...
I need to find dy/dx at the point (0,1), if y^5=(x+2)^4 + e^x Iny-15

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Question 971554: Hello tutor, I really need your help to solve this question please.

Solve the system: y = x^2 + 7, y = 4x + 3

Thank you

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Question 971554: Hello tutor, I really need your help to solve this question please.

Solve the system: y = x^2 + 7, y = 4x + 3

Thank you

Click here to see answer by Edwin McCravy(20054) About Me 

Question 971726: hello are u there?
Click here to see answer by Alan3354(69443) About Me 

Question 971748: Given the function f(x)=-3x^2+9x-5 f(x) by and g(x)=f(x-2)+5
a)Find the vertex of g(x)
b)Rewrite f(x) in vertex form.

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Question 971801: Find the output when the input is 1 2 3 4 and the output is -5 -2 1 4.
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Question 971801: Find the output when the input is 1 2 3 4 and the output is -5 -2 1 4.
Click here to see answer by anand429(138) About Me 

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