Tutors Answer Your Questions about Functions (FREE)
Question 83400: Find intervals on which the given function is increasing and the intervals on which it is decreasing.
f(x) = x^2 +1
I've tried to solve this and I've looked for examples throughout my textbook. I just can't seem to understand how to do it.
Click here to see answer by rapaljer(4671)   |
Question 83404: Just about the time I thought I got it, here's a new one that I can't quite figure out how to proceed with.
Find f^-1(x):
f(x) = x^2 + 9 for x>= 0.
Thanks in advance for any help on this!
Click here to see answer by uma(370) |
Question 83294: The function H described by H(x)= 2.75x + 71.48 can be used to estimate the height, in centimeters, of a woman whose humerus is x cm long. Estimate the height of a woman whose humerus is 34.4 cm long.
Click here to see answer by uma(370) |
Question 83667: State the Domain and Range:
7. y = (x^2)/(x^2-16)
I am not sure if I did this exactly right and was wondering if I came to the right conclution.
Domain: all x not equal to -4 or 4
Range: all real numbers
Thank you for your help!
Click here to see answer by scott8148(6628)  |
Question 83724: Use the geometric sequence of numbers 1, ½, ¼, 1/8,….to find the following:
a) What is r, the ratio between 2 consecutive terms?
b) Using the formula for the sum of the first n terms of a geometric series, what is the sum of the first 10 terms? Please round your answer to 4 decimals.
c) Using the formula for the sum of the first n terms of a geometric series, what is the sum of the first 12 terms? Please round your answer to 4 decimals.
d) What observation can be made about these sums? In particular, what whole number does it appear that the sum will always be smaller than?
Click here to see answer by stanbon(75887) |
Question 83751: Use the arithmetic sequence of numbers 1, 3, 5, 7, 9,….to find the following:
a) What is d, the difference between any two consecutive terms?
b) Using the formula for the nth term of an arithmetic sequence, what is 101st term?
c) Using the formula for the sum of an arithmetic sequence, what is the sum of the first 20 terms?
d) Using the formula for the sum of an arithmetic sequence, what is the sum of the first 30 terms?
e) What observation can you make about these sums of this sequence (HINT: It would be beneficial to find a few more sums like the sum of the first 2, then the first 3, etc.)? Express your observations as a general formula in “n.”
Click here to see answer by jim_thompson5910(35256) |
Question 83989: Calculate the indicated value
f(x) = 11x^2 + 12x - 12
g(x) = 12x^2 - 11x + 11
find g(f(3))
I'm not sure if i did everything correct, I came up with g(f(3)):31,734. I'd just like to know if this is right, and if not I'd like to see the steps so I know what I did wrong, thank you!
Click here to see answer by jim_thompson5910(35256) |
Question 83997: calculate the indicated valu:
f(x) = 13x - 10
g(x) = -12x^3 + 11x^2 - 12x - 11
find f(g(3))
I asked a question about a similar question and took what I learned to come up with the answer of f(g(3)=3,526, I just wanted to double check to see if this is correct, thank you!
Click here to see answer by jim_thompson5910(35256) |
Question 84004: calculate the indicated value.
f(x) = 14x^2 + 15x - 14
g(x) = 14x^2 + 11x - 10
find f(f(4))
I plugged in 4 for x and came to f(4)=270, would that mean that f(f(4))=270, and that I should plug in 270 which I think brings me to an answer of 10210036? Whats confusing me is that g(x) = 14x^2 + 11x - 10 is part of the question but it dosent ask to find g(f(4)) so Im not sure what to do with that part of the question.
Click here to see answer by stanbon(75887) |
Question 84015: calculate the indicated value.
f(x) = 14x^2 + 15x - 14
g(x) = 14x^2 + 11x - 10
find f(f(4))
I started by plugging in 4 for x:
f(x) = 14(4)^2 + 15(4) - 14=270
Then I put that in for x:
f(x) = 14(270)^2 + 15(270) - 14=10210036
However, I asked about this question once and was told the answer was:
f[f(4)] = f[14*4^2+15*14-1]
=f[420]
=14*420^2 + 15*420-14
=2,469,796
I am sure this is the correct answer but I'm just wondering what I'm doing wrong to not come to this answer. I am confused by this step:
f[f(4)] = f[14*4^2+15*14-1]
I dont understand why its 15*4 instead of 15*4, and why its -1 and not -14. Thank you for the help!
Click here to see answer by jim_thompson5910(35256) |
Question 84123: State the inverse for the function:
g(x) = (7/3)x + 2
I've never done a problem like this before and don't know where to start, I'd like to see the steps and the answer so I can understand what to do. Thank you!
Click here to see answer by stanbon(75887) |
Question 84123: State the inverse for the function:
g(x) = (7/3)x + 2
I've never done a problem like this before and don't know where to start, I'd like to see the steps and the answer so I can understand what to do. Thank you!
Click here to see answer by funmath(2933) |
Question 84198: Solve:
B varies inversely as the square root of c. If b = 1 when c = 16, find b when c = 6.
I am really confused on this one. I don't know where to start and what steps to take. I'd like to see the steps and the answer please. Thank you for your help!
Click here to see answer by PS(13) |
Question 84293: B varies inversely as the square root of c. If b = 1 when c = 16, find b when c = 6.
I am really confused on this one. I don't know where to start and what steps to take. I'd like to see the steps and the answer please.I asked this question once and received an answer, which I really appricaite the time they took to write the steps out. However, they ended with an answer of c=4/9, and I think I needed to find b when c=6, I'm not sure if mabye they miss wrote the answer and it was ment to say b=4/9. If someone could tell me if that is the correct answer or what the correct answer is I'd realyl aprrciate it, thank you!
Click here to see answer by ankor@dixie-net.com(22740)  |
Question 84301: N is inversely proportional to t + 3. If t = 1 when n = 3, find t when n = 4.
I'd like to se the steps and the answer please. I dont really understand what to do in a problem like this. Thank you so much for your help.
Click here to see answer by PS(13) |
Question 84299: Using k as the constant of proportionality, write an equation that expresses: 2 varies jointly as a and b.
I don't really get where to start with this, I'd like to see the steps and the answer please, thank you for your time!
Click here to see answer by rapaljer(4671) |
Question 84464: I do not fully understand what domain is and I am having trouble with the following problem:
y= square root of(9-x^2) + square root of(1-x^2)
The answer on my key is domain=[1,3] but I do not understand why. Can you please explain?
Click here to see answer by venugopalramana(3286) |
Question 84465: I am trying to find the inverse of each function and express it in the form y=f inverse -1(x). And I need to verify each result by showing that (f composed of f)(x)=f inverse -1 composed pf f)(x)=I(x). The problem to be solved is:
x = 4y + 1
I get very confused with the composition process and get the functions mixed up. Could you please explain and show step my step process. Thank you.
Click here to see answer by venugopalramana(3286) |
Question 84530: Find the real values of x such that f(x)=0 (directions).
f(x)=3/x-1 + 4/x-2 - - I don't even know where to begin on this problem. the answer they gave is 10/7 and I'm really confused on that....
Click here to see answer by bucky(2189) |
Question 84534: I'm not sure I fully understand how to find the domain of a function. The problem I'm specifically having a hard time with is f(x)= (sq. root of -x+8)+2. The answer key says the domain is (-∞,8), but I'm not sure why. It says I'm not supposed to use a calculator.
Click here to see answer by scott8148(6628) |
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