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Question 996744: find all critical points and global extremes of the functions on the given intervals.
1. f(x) = x3 � 3x + 5 on the entire real number line.
2. f(x) = x3 � 3x + 5 on [ �2, 1]
Click here to see answer by stanbon(75887)

Question 996756: In 2010, the population of a country was 88 million and growing at a rate of 1.7% per year. Assuming the percentage growth rate remains constant, express the population P , in millions, as a function of t , the number of years after 2010. Let P=f(t) .
f(t)= ?????
Please help, I do not understand! Thank you all.

Click here to see answer by Boreal(15235)

Question 996757: Polluted water is passed through a series of filters. Each filter removes 59% of the remaining impurities. Initially the water contains impurities at a level of 400 parts per million (ppm). Determine a rule for the function g , that gives the remaining level of impurities, L , after the water has passed through a series of n filters.
G(n)=?????
Thanks!
Click here to see answer by Theo(13342)

Question 996764: A line has a rise of 6 and a slope of 1/20 . Find the run of the line.
Click here to see answer by MathLover1(20849)

Question 996768: Find the second derivative of the function
f(x) = (6x � x2)^10
Click here to see answer by Alan3354(69443)

Question 996868: Hi, I had this as a bonus question on my Pre-Cal 12 Chapter 3 test. It's been bugging me for a while and I hope someone could help me solve this question. Thanks :)
- a function, all terms are odd
- when divided by (x+3), remainder is 12
- when divided by (x^2-9), equals to h(x)
find h(4):
I'm writing this question from memory so if something doesn't make sense, just let me know.
I just want to know how this problem should be solved. I don't really need the answer but if it is given,
that's great.
Click here to see answer by rothauserc(4718)

Question 996953: please help me solve this question
∫(x-3/4 )^2 3y2 dy with the integral limits between 0 and 1
Click here to see answer by Fombitz(32388)

Question 997121: Find the zeros of the function algebraically. Please and thank you!
f(x) = x / (4x^2 − 49)

Click here to see answer by ikleyn(52754)

Question 997124: what is the domain of the real-valued function f(x)
f(x)=x+4/(x+4)(x-3)
I can't type the answer choices correctly because of there signs,
Copy and paste the link below to see it please.
http://prntscr.com/8saswg
thanks! help please.
Click here to see answer by ikleyn(52754)

Question 997135: What is the domain of the real-valued function f(x)?
f(x)=x+8/(x+8)(x-9)
Link to answer choices below (Hard to type because of the signs)
http://prntscr.com/8sbzrd
thank you

Click here to see answer by josgarithmetic(39613)

Question 997119: Find the zeros of the function algebraically.Thanks!
f(x) = x / 4x^2 − 49

Click here to see answer by ikleyn(52754)

Question 997210: Please help finding domain for the following.
f(x)=1+x^2
Click here to see answer by josgarithmetic(39613)

Question 997284: help please thanks
Which is the inverse of f(x)=(x+7)^2/6?
here is a screenshot of the answer choices, below because it's hard to type because of the signs.
http://prntscr.com/8smw50
thanks!
Click here to see answer by josgarithmetic(39613)

Question 997545: f(x)=9x^3+2x^2-5x+4 and g(x)=5x^3-7x+4. What is f(x)-g(x)?
I've been on this question for a while now and I'm really struggling. Help?
Click here to see answer by josgarithmetic(39613)

Question 997548: f(x)=9x^3+2x^2-5x+4 and g(x)=5x^3-7x+4. What is f(x)-g(x)?
Click here to see answer by josgarithmetic(39613)

Question 997548: f(x)=9x^3+2x^2-5x+4 and g(x)=5x^3-7x+4. What is f(x)-g(x)?
Click here to see answer by MathTherapy(10549)

Question 997491: Find the domain of the function
Sqrt( x^2 - 2x)/ x-4
Click here to see answer by josgarithmetic(39613)

Question 997491: Find the domain of the function
Sqrt( x^2 - 2x)/ x-4
Click here to see answer by MathTherapy(10549)

Question 997614: Please show how to get the roots of these functions
Thank you

f(x) = x^5 + x^3 + 2x - 1
g(x) = sqrt(100x^2 - 16)
k(x) = (1/(x^2+5))
Click here to see answer by Boreal(15235)

Question 997691: Please will someone help me I can't get this question correct. It's determining where the function is increasing/decreasing. I set their derivative to zero but it isn't helping.
Here are the problems
http://imgur.com/k4hAlxI
http://imgur.com/MvS7VBn
Thank you

Click here to see answer by MathLover1(20849)

Question 997689: A vertical line through (5,3 ) has equation :
Click here to see answer by josgarithmetic(39613)

Question 997689: A vertical line through (5,3 ) has equation :
Click here to see answer by MathLover1(20849)

Question 997645: The least common denominator of 5/6, 2/9
Click here to see answer by ikleyn(52754)

Question 997791: The function k is defined as : k(x)=6x+100. What is the value of k(-5)?

help please thank you.
Click here to see answer by Alan3354(69443)

Question 997792: The polynomial of degree 5, P(x) has leading coefficient 1, has roots of multiplicity 2 at x=2 and x=0, and a root of multiplicity 1 at x=−3
Find a possible formula for P(x).
Click here to see answer by MathLover1(20849)

Question 997830: please help me, i think i know the answer but i don't know how to rewrite the equation.
Okay it says, the function g is defined as g(r)=5r+13 what is the value of g(3)?
Which r in the function am i supposed to put the 3? would i rewrite the function as g(r) = -53 + 13?? and then solve it which gives me 40. Help please, thank you
Click here to see answer by Alan3354(69443)

Question 997829: Let f(x) = 2x^2 - 9x Find all extreme values (if any) of f on the interval [0, 9]
So far I have:
f'(x) = 4x - 9
f(x) = x = 4/9
If I plug back into the original function I can find either the max or min value.
f(4/9) = 2(4/9)^2 - 9(4/9) = - 10.125 (calculator)
However, how do I know whether this is the max or min value without a graphical refrence?
Also, isn't there a rule with extrema stating that since the interval notation is [0,9] that I can use the 9? if so why not the 0. This rule keeps tripping me up.
Please explain
Thank you

Click here to see answer by Alan3354(69443)

Question 997780: Suppose that $2600 is initially invested in an account with an APR of 3.3% compounded continuously.

Write a function f that models the value of the account at the end of t years.
Thanks!!
Click here to see answer by fractalier(6550)

Question 997922: I was just given homework to a topic I have not yet studied. Could someone please explain to me how to solve the function f(x)=|x|? Thank you so much (an added bonus would be if you could help with domain and range!)
Click here to see answer by Theo(13342)

Question 997925: Consider the function. f(x)= 1/2x + 1
a. Find the inverse of f(x) and name it g(x). Show and explain your work.
b. Use function composition to show that f(x) and g(x) are inverses of each other.
Click here to see answer by MathLover1(20849)

Question 997967: state if the given functions are inverses
f(x)=-5x
g(x)=x+2
Click here to see answer by josgarithmetic(39613)

Question 997974: Find f subscript -1 x
if f(x) =3x-6
Click here to see answer by solver91311(24713)

Question 998140: How do I find the zeros of the function f(x)=square root of 8x-1
Click here to see answer by fractalier(6550)

Question 998206: Help Please ;
f(x)=x+10/(x+10)(x-8). What is the domain the real-valued function f(x)?
Thank you.
Click here to see answer by rothauserc(4718)

Question 998368: For f(x)= 1/x-5 and g(x)= x^2+2, find:
a. (f o g)(x)

b. (g o f)(6)
Click here to see answer by stanbon(75887)

Question 998445: -2(X+4) = 35-(7-4X) Solve for x
Click here to see answer by ikleyn(52754)

Question 998466: f(x)=1/x^2+3
g(x)= sqrt x^2-2x
Find f(-x/2) and g(x+7)
Write without parenthesis , simplify as much as possible.
So i'm alittle confused, does this problem mean that both functions are dependent on each other, can i just plug in x and solve for them individually or am i solving for both together? please point me in the right direction not sure how to approach this/solve this.
Click here to see answer by josgarithmetic(39613)

Question 998537: If 1/2 + 1/4= x/15, then x is?
Click here to see answer by fractalier(6550)

Question 998571: Consider the function f whose graph is shown below. What is the domain of the function? What is the range of the function ?
Here is the link to the graph below
http://prntscr.com/8uidp9
thank you.
Click here to see answer by fractalier(6550)

Question 998552: For f(x)= 1/x^2-3 Find:

a. (f o g)(x)
b. (g o f)(6)
Click here to see answer by fractalier(6550)

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