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

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Question 1024142: Find f (a+h) -f(a)/h
f(x) = 3x^2+6x-5

Click here to see answer by solver91311(24713) About Me 

Question 1024321: The domain of f(x) is the set of all real values except 7, and the domain of g(x) is the set of all real values except –3. Which of the following describes the domain of (g*f)(x)?

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Question 1024139: Find f (a + h) -f (a)/h
f(x) = x^2-2x

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Question 1024603: 1. Given the following function, find f(-1).
f(x)= {4x+1 x<-2
{5-x^2 x≥-2
A. -3
B. -1
C. 4
D. 6
E. None of the above
2. The force of gravity between two objects is inversely proportional to the square
of the distance between them. If the force between two particular objects is 4 newtons when they are 6 kilometers apart, find "k", the constant of proportionality.
A. 144
B. 24
C. 2/3
D. 1/9
E. None of the above
3. State whether the function f(x)=−2x^2 −20x+15 has a maximum or minimum value and state the value of the maximum or minimum.
A. The function has a maximum of 65.
B. The function has a minimum of 65.
C. The function has a maximum of 35.
D. The function has a maximum of -15.
E. None of these
4. Given f(x)= 1/x+1 and g(x)=x−5, find f(g(3)).
A. undefined
B. −2
C. −19/4
D. −1
E. None of the above
5. Given f(x)=x3 and g(x)=5+4x, find (fog)(x).
A. 5+4x^3
B. (4x +5)^3
C. (5−4x)^3
D. 64x^3 +125
E. None of the above
6. Given that the function f(x) = 3/x+5 is one-to-one, find its inverse.
A. f −1(x) = 3 − 5x/x
B. f −1(x) = 5 − 3x/x
C. f −1(x) = 5x − 3/x
D. f −1(x) = x + 5/3
E. None of the above

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Question 1024785: Find the domain and range
f(x)= -x^2-10x

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Question 1024784: Is it a function?
y^2=6-x^2

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Question 1024852: Write A∩Bas the union of intervals. Use standard interval notation, that may include round brackets and square brackets. If needed, use the capital letter U for the union of two disjoint intervals. None of your intervals should touch or intersect another.
A={x∈R∣x2−9 >0}
B={x∈R∣x2+2 x−35 ≤0}

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Question 1024881: 5*-2=8
Click here to see answer by Edwin McCravy(20056) About Me 

Question 1024986: Hello. Please, if someone could give me an explanation on how to solve this problem, I'd really appreciate.
Suppose that you are given an open top box with the square base. Let x be the length of the side of the base and let the volume of the box be V=1. Express the surface area of the box in terms of two power functions of x.
Thank you very much.

Click here to see answer by josgarithmetic(39618) About Me 

Question 1025119: G(x) =9
Find G(12)

Click here to see answer by Alan3354(69443) About Me 

Question 1025129: Which function has all real numbers as its domain?
Only f(x)
Both g(x) and p(x)
Both f(x) and g(x)
Only p(x)

Click here to see answer by FrankM(1040) About Me 

Question 1025281: Let f be the function defined by f(x) = 2x + e^x. If g(x) = f^-1(x) for all x and the point (0,1) is on the graph of f, what is the value of g'(1)?

Click here to see answer by Fombitz(32388) About Me 
Question 1025281: Let f be the function defined by f(x) = 2x + e^x. If g(x) = f^-1(x) for all x and the point (0,1) is on the graph of f, what is the value of g'(1)?

Click here to see answer by robertb(5830) About Me 

Question 1025298: f(x)= √x-4 (the entire equation is under the square root)
Click here to see answer by Fombitz(32388) About Me 

Question 1025457: A) Find the y intercepts B) Find the x intercepts and C) find the intervals of x where f(x) > 0 and those where f(x) <0. Do not sketch the graph.
f(x) = (x-5) (x+4) (x-3)

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Question 1025701: I am trying to answer the below question and I believe the answer is true.
√-4 is not a real number.


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Question 1025701: I am trying to answer the below question and I believe the answer is true.
√-4 is not a real number.


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Question 1025702: I am trying to answer the below question and I believe the answer is false.
√120 is expressed in simplest radical form

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Question 1025704: I am trying to answer the below question as a true or false and I am just not sure.
-√1024 is a rational number

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Question 1025704: I am trying to answer the below question as a true or false and I am just not sure.
-√1024 is a rational number

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Question 1025704: I am trying to answer the below question as a true or false and I am just not sure.
-√1024 is a rational number

Click here to see answer by MathTherapy(10552) About Me 

Question 1025847: Write a rule for the function represented by the following table. Please show work.
x 0, 1, 2, 3, 4
y 3, 6, 9, 12, 15

Click here to see answer by stanbon(75887) About Me 

Question 1025846: Find the function rule for the following table.
x -2, -1, 0, 1, 2
y 9, 4, -1, -6, -11

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Question 1025844: Use the function rule to complete the table. -10x+y=4
x -2, -1, 0, 1, 2
y __, __, __, __, __

Please show work.

Click here to see answer by stanbon(75887) About Me 
Question 1025844: Use the function rule to complete the table. -10x+y=4
x -2, -1, 0, 1, 2
y __, __, __, __, __

Please show work.

Click here to see answer by solver91311(24713) About Me 

Question 1025852: Which function has an inverse that is also a function?
A {(-4,3) (-2,7) (-1,0) (4,-3) (11,-7)
B {(-4,6) (-2,2) (-1,6) (4,2) (11,1)
C {(-4,5) (-2,9) (-1,8) (4,8) (11,4)

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Question 1025911: 8. Consider the function f from R to R given by
f(x) = x + 1/ x = 1 + 1/x
(a) Find the domain of f. Is f an even or odd function?
(b) Sketch the graph of the function f. Find the range of f.

Click here to see answer by stanbon(75887) About Me 

Question 1026024: What is the domain and range of
y=x+1
y+x^2+1
y=√x+1

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

Question 1026081: What is the answer to the following:
-6 - (+2)

Click here to see answer by stanbon(75887) About Me 

Question 1026176: 6. (a) Find the domain of the function
f(x) = x /√5−3x + x√x + 1.
(b) Consider f(x) = √4x^2 + 1 and g(x) = x + 3 /x^2 .
Find the composite functions f ◦g and g◦f.
(c) Consider h(x) = x^3 + 5 and k(x) = x^4 + 2x + 3. Find function l such that h◦l = k.

Click here to see answer by ikleyn(52794) About Me 

Question 1026181: 6. (a) Find the domain of the function
f(x) = {x / sqrt (5−3x) + x sqrt (x + 1)}
(b) Consider f(x) = sqrt (4x^2 + 1 ) and g(x) = x + 3/ x^2 . Find the composite functions f ◦g and g◦f.
(c) Consider h(x) = x^3 + 5 and k(x) = x^4 + 2x + 3. Find function l such that h◦l = k.

Click here to see answer by ikleyn(52794) About Me 

Question 1026338: Consider h(x) = x^3 + 5 and k(x) = x^4 + 2x + 3. Find function l such that h*l = k.
Click here to see answer by solver91311(24713) About Me 

Question 1026487: consider a square with a side length of s, diagonal length of d, perimeter p and area a
write p as a function of s in simplified form
P=f(s)=

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Question 1026578: f(x)= 2 over x-2 squared for range and domain
Click here to see answer by stanbon(75887) About Me 

Question 1026522: What is f(x)=3x+2 and g(x)=2x+5. Find fog(5)
Click here to see answer by Theo(13342) About Me 

Question 1026336: Consider f(x) = sqrt(4x^2 + 1 ) and g(x) = x + 3 /x^2 . Find the composite functions f ◦g and g◦f.
Click here to see answer by solver91311(24713) About Me 

Question 1026521: f(x)=4(0.95)^x when x= -1,2,3
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Question 1026932: Let f = {(-3,2),(0,-1),(4,0)} and g = {(-3,-4),(3,-3),(4,2),(5,4)}. Find g/f and state its domain.
Click here to see answer by robertb(5830) About Me 

Question 1026953: Hello!
I am trying to figure out these integrals but I keep getting stuck. (also, not sure how to write the integral symbol in the editor on here, so hopefully my question makes sense).
1. integral: +%28+%286+%29+%2F+sqrt%289x%5E%282%29+-1%29+%29+dx+
I tried U-substitution but got stuck...not sure if I did it right or not.
+u=9x%5E%282%29-1+
+du=18x+dx+%2B+c
+dx+=+%28du%2F18x%29+
2. integral: +%28+3%5E2x%2F%281%2B3%5E2x%29+%29+dx+
Thank you, in advance!

Click here to see answer by richard1234(7193) About Me 

Question 1027062: Write the quadratic function in standard form. Identify the vertex, axis of symmetry, and x­intercept(s).
f(x)=x^2-3x+5

Click here to see answer by Fombitz(32388) About Me 

Question 1027061: For the function: (x^3+2x^2-4x-8)/2x^2-8
a) Find the domain of the function, and discuss the behavior of f near any excluded x ­values.
b) Identify all intercepts
c) Find all vertical, horizontal, and slant asymptotes of the graph of the function.

Click here to see answer by robertb(5830) About Me 
Question 1027061: For the function: (x^3+2x^2-4x-8)/2x^2-8
a) Find the domain of the function, and discuss the behavior of f near any excluded x ­values.
b) Identify all intercepts
c) Find all vertical, horizontal, and slant asymptotes of the graph of the function.

Click here to see answer by KMST(5328) About Me 

Question 1027065: For the function g(x)=x^4-2x^2-4
Find all real zeros of the polynomial function and determine the multiplicity of each zero; determine the maximum possible number of turning points of the graph of the function.

Click here to see answer by josgarithmetic(39618) About Me 

Question 1027206: a wire 10 cm long is cut into two pieces, one of length x, while the other is of length 10-x. each piece is bent into a square.
a. find a function that models the total area enclosed by the two squares.
b. find the value of x that gives the minimum total area enclosed by the two squares.
c. find the minimum total area.

Click here to see answer by Theo(13342) About Me 

Question 1027207: Y + 3 = 10
Click here to see answer by richard1234(7193) About Me 

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