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Tutors Answer Your Questions about Rational-functions (FREE)
Question 45475: Hello, I need help with roots and zeros. I don't understand how to find the number of positive real zeros, negative real zeros, or imaginary zeros for a function. I know that you need to count the number of changes in sign for the coefficients but I don't understand how to interpret that.
Ex.
g(x)=x^4+x^3+2x^2-3x-1
Thank you.
Click here to see answer by stanbon(26285)   |
Question 45908: An object is projected upward from the top of a tower. Its distance in feet above the ground after t seconds is given by s(t)=-16t^2=64t=80. How many seconds will it take to reach ground level?
Click here to see answer by Nate(3495) |
Question 45910: Several values of the two functions f and g are listed in the following tables:
_______________________________ __________________________
x 4 5 6 7 x 4 5 6 7
f(x) 7 6 5 4 g(x) 6 7 4 5
Find (f o g)(6)
Answers could be:
A.) 4
B.) 5
C.) 6
D.) 7
_
Click here to see answer by stanbon(26285) |
Question 46106: Y(x)=-x2+17x-34 I need to know the value of x when y is at maximum value? What is the maximum value of y? Since negative y values are impossible for operating the MRI machine, what is the range of x values for y to be greater than or equal to zero? What is te range of x values where y is at 90% of its maximum value? Plot a graph showing all of the above information.
Click here to see answer by Nate(3495) |
Question 46213: Please help! Find a 5th degree polynomial function with real, rational coefficients and zeros x=0, x=the square root of 3, and x=2-i. I've tried and I just can't figure it out please help. It would be greatly appreciated.
Click here to see answer by Nate(3495) |
Question 46407: the period of a simple pendulum is directly proportional to the square root of its length. If a pendulum has a length of 6 feet and a period of 2 seconds, to what length should it be shortened to achieve a 1 second period?
Click here to see answer by Earlsdon(4900) |
Question 46414: I am having problems trying to get the answer to the following:
(2x*3x)/((x^2-9)*(x^2+4x+3))
Please advise the steps to solve this Rational Expression to the lowest common dinominator (LCD).
Thank you,
Vic
Click here to see answer by saltzy57(8) |
Question 46559: the table shows several value of the function f(x)=-x^3+x^2-x+2. Complete the missing values in this table, and then use these values and the intermediate value theorem to determine (an) inverval(s) where the function must have a zero.
x f(x)
-2 16
-1 (unknown)
0 (unknown)
1 (unknown)
2 -4
Click here to see answer by Nate(3495) |
Question 46791: A polynomial g(x) of degree 5 whose coefficients are real numbers has zeros 2, 3, -3, and 7-i. Find the fifth zero and then determine g(x).
I understand the coefficients and know the 5th zero would have to be 7+i. However, I'm not sure how to then determine g(x). Can anyone help me?
Thanks!
Click here to see answer by adamchapman(301) |
Question 46856: from the information given providing values of f(x) and g(x), evaluate
(f o g)^ -1 (3).
x f(x) g(x)
1 5 4
2 3 5
3 5 1
4 1 3
5 2 2
a. 1
b. 2
c. 4
d. 5
i came up with (d) as my answer, because when x=3 fx=5 so i go to the table and look at 5, and see gx=2 so i then go back to the table for 2 and find g(x)=5
d=5
Click here to see answer by adamchapman(301) |
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