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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
Click here to see answer by robertb(5830)  |
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}
Click here to see answer by ikleyn(52794)  |
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) |
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)
Click here to see answer by solver91311(24713)  |
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)  |
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)  |
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)  |
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:
I tried U-substitution but got stuck...not sure if I did it right or not.


2. integral:
Thank you, in advance!
Click here to see answer by richard1234(7193)  |
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)  |
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)  |
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)  |
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