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

Tutors Answer Your Questions about Functions (FREE)

Question 974183: Hello Tutor, I really need your help to answer this question please.
What are the possible rational roots of f(x) = x4 -7x + 8
Click here to see answer by Boreal(15235)

Question 974193: Hello Tutor, I really need your help to answer this question please.
What are the possible rational roots of f(x) = x4 -7x + 8?
Click here to see answer by Edwin McCravy(20054)

Question 974203: Hi,
Can yo please help me find the domain and range of and where it would be increasing and decreasing.
I tried solving this over and over but i got the domain of all real numbers and the range of (-infinity,-6] but i don't know if that's right.
Click here to see answer by josgarithmetic(39613)

Question 974255: A rocket was fired with an initial velocity of 25 meters per second from a platform 10m above ground.
a)when will the rocket reach its maximum height?
b)What is the maximum height of the rocket in the air?
c)For how long does the rocket stay at or above 20 meters?
d)When does the rocket strike the ground?
Click here to see answer by KMST(5328)

Question 974430: -2(x-3y)+4
Click here to see answer by algebrahouse.com(1659)

Question 974494: For the function z,z(-5)=8, and z(8) =-5. If y=z(x), what is the value of y when x=8?
Click here to see answer by Fombitz(32388)

Question 974545: Use the given zero to find the remaining zeros of the function:

x^3+3x^2+9x-13
zeros: -2+3i

Click here to see answer by josgarithmetic(39613)

Question 974846: I didn't know category to put under so I decided to put under functions, but it's more of a reducing thing.
I've been trying to solve the following:
Find f�g�h
f(x)= x^1/2, g(x)= x/(x-6), h(x)= x^1/9
I know how to do it - f(g(h(x))) - but I can't seem to get it down to lowest terms.
This is what I got so far:
[x^1/9/(x^1/9 - 6)]^1/2
Click here to see answer by solver91311(24713)

Question 974891: Given the composite function (fx)=e^ln x, (gx)=10^x
Evaluate by indicating them into (f of g)(2)
Click here to see answer by Alan3354(69443)

Question 975181: Suppose f(x)=x^2 over the domain of f, then:
(A)f^(-1) (x)=√x
(B)f^(-1) (x)=x/2
(C)f^(-1) (x)=-x^2
(D)f^(-1) (x) does not exist
(E) none of the above

Click here to see answer by MathLover1(20849)

Question 975188: Suppose f(x) =x^2 over the domain of f, then f^-1(x)=?

Click here to see answer by MathLover1(20849)

Question 975278: consider the function 3 x squared -7 find f (-2)
Click here to see answer by algebrahouse.com(1659)

Question 975279: evaluate the piecewise defined function at the indicated values
X^2+4x if x ≤ −1
x if x -1< x ≤ 1
−1 if x > 1
f(-2)=
f(-3/2)=
f(-1)=
f(0)
f(40)=
Click here to see answer by Fombitz(32388)

Question 975364: Determine whether the equation defines y as a function of x.
x+y=9

Click here to see answer by Boreal(15235)

Question 975410: Find f'(x) for f(x)=√(1-8x) using the definition of the derivative
Click here to see answer by stanbon(75887)

Question 975410: Find f'(x) for f(x)=√(1-8x) using the definition of the derivative
Click here to see answer by Edwin McCravy(20054)

Question 975454: Solve for x in the following equation: ax+5x-4=10.
Click here to see answer by josgarithmetic(39613)

Question 975527: Find the domain of y=sqrt(3x+3)
Click here to see answer by lwsshak3(11628)

Question 975778: come up with a polynomial function that goes through these four points:
(0, 0)
(1, 2)
(3, -2)
(5, 5)
Thank you.
Click here to see answer by Edwin McCravy(20054)

Question 975825: whats the domains of the functions
g(x)=square root of x^2-36
and f(x)=1/x-3
Click here to see answer by solver91311(24713)

Question 975826: Evalue the piecewise function at the indicatied values
x^2+$x if x if x ≤ −1
x if −1 < x ≤ 1
−1 if x > 1
f(-2)
f(-3/2)
f(-1)
f(0)
f(40)
Click here to see answer by Boreal(15235)

Question 975832: Evaulate the piecewise functions at the indicated values
f(x)=
2x if x < −4
x + 4 if −4 ≤ x ≤ 3
(x − 3)2 if x > 3
f(-5)=
f(-4)
f(2)=
f(3)=
f(6)=
Click here to see answer by stanbon(75887)

Question 975834: the maximum speed permitted on a freeway is 65 mi/h ad minimum is 40. The Fine F(in dollars) for violating these limits is $40 dollars for every mile above the maximum or below the minimum
(a) Complete the expressions in the following piecewise defined function, where x is the speed (in mi/h) at which you are driving.
f(x)= if 0 < x < 40
if 40 ≤ x ≤ 65
if x > 65
b
f(30)=
f(50=
f(75)=
Click here to see answer by Boreal(15235)

Question 975836: evaulate the piecewise function.
f(x)=
6 if x ≤3
3x-5 if x > 3
f(-4)=
f(0)=
f(3)=
f(4)=
f(6)=
Click here to see answer by jim_thompson5910(35256)

Question 975842: find the the domain of the function
f(x)=x^2+7, 0 ≤ x ≤2
Click here to see answer by jim_thompson5910(35256)

Question 975846: g(x)=x^2+5x
what does it equal at f(-x)?
Click here to see answer by jim_thompson5910(35256)

Question 975910: h(x) = 4^x + 2 + x - 4
Click here to see answer by Alan3354(69443)

Question 975946: The mass of a substance varies directly with the volume of the substance. The volume of 100 kilograms of substance is 80 liters. What is the volume, in liters, of 3.2 kilograms of this substance?
Click here to see answer by ankor@dixie-net.com(22740)

Question 976069: The length, in feet, of a small train can be modeled by the function f(c) = 9c+14, where c is the number of passenger cars attached to the locomotive. The original passenger cars were replaced, and the length of the train is now modeled by the function h(c) = 12c+14.Based on this information, which statement describes the change in this situation?
A. The locomotive is now 9 feet long, and the length of each passenger car remained the same.
B. The locomotive is now 12 feet long, and the length of each passenger car remained the same.
C. Each passenger car is now 9 feet long, and the length of the locomotive remained the same.
D. Each passenger car is now 12 feet long, and the length of the locomotive remained the same.
Click here to see answer by Boreal(15235)

Question 976061: let a function f be defined by
f(x) = x^2-2x-3/x^2+2x+3
i) determine the domain of f(x)
ii) find the range of f(x)

Click here to see answer by Edwin McCravy(20054)

Question 976130: The number of bacteria in a refrigerated food product is given by N(T)=23T^2 -81 T+50, 3 < T < 33 where T is the temperature of the food.
When the food is removed from the refrigerator, the temperature is given by T(t) = 9 t + 1.5 , where t is the time in hours.
i found N(T(t))= 23(9t+1.5)^2-81(9t+1.5)+50 so now they ask...Find the time when the bacteria count reaches 11123 (Give your answer to at least 3 decimal places)? I'm unable to get that correct answer?
Click here to see answer by solver91311(24713)

Question 976132: A spherical weather balloon is being inflated. The radius of the balloon is increasing at the rate of 3 cm per second. Express the surface area of the balloon as a function of time t (in seconds). If needed you can enter \pi as pi. Recall surface area of a sphere is 4*pi*r^2 .
I tried and i believe i am missing a very important step
Click here to see answer by solver91311(24713)

Question 976133: If f(x) = x^4 + 6, g(x) = x - 4, h(x) = \sqrt(x) , then
fogoh(x) =
i tried entered it in and i keep getting it wrong.. i believe im making an error with the simplifying (sqrt(x))^4+2

Click here to see answer by solver91311(24713)

Question 976137: A spherical weather balloon is being inflated. The radius of the balloon is increasing at the rate of 3 cm per second. Express the surface area of the balloon as a function of time t (in seconds). If needed you can enter \pi as pi. Recall surface area of a sphere is 4*pi*r^2 .
please give answer (last tutor did not)
Click here to see answer by josgarithmetic(39613)

Question 976195: Differentiate the following with respect to x:
f(x) = |x|
Click here to see answer by MathLover1(20849)

Question 976199: f(x) = (1)/(x+10)
f^(-1)(x) =
Click here to see answer by MathLover1(20849)

Question 976190: i am looking for help passing this class.. willing to pay someone to take the remaining lessons on my online h.w and quizzes. i am already half way done the course with an A but it's getting harder and im afraid with this and work i wont make it. simple college algebra. only about 6 more lessons and quizzes someone who is knowledgeable will get the h.w and quizzes done in less than an hour. please respond with serious inquiries.
Click here to see answer by solver91311(24713)

Question 976198: f(x) = (x+3)/(x+6)
f^(-1)(-1) =
Click here to see answer by MathLover1(20849)

Question 976196: Given: f(x) = (6x-6)/(3x+3)
Find the inverse function, f^-1(x)
Click here to see answer by MathLover1(20849)

Question 976197: Let
f(x) = (x - 5)^2
Find a domain on which f is one-to-one and increasing. Use oo for infinity and -oo for negative infinity.
part 2..
Find the inverse of f restricted to this domain
f^(-1)( x ) =
Click here to see answer by Boreal(15235)

Question 976383: Whats the inverse function of 1/x+2?
Click here to see answer by jim_thompson5910(35256)

Question 976389: f(x)5x-7 and g(x)=5-x^2
a f(g(-1))
b g(f(-1)
Click here to see answer by jim_thompson5910(35256)

Question 976381: find the inverse function of 9+7x/5-6x
f^-1(x)=
Click here to see answer by josgarithmetic(39613)

Question 976382: D(p)=-6p+240
a Find D^-1
D^+1(p)=
b. D^-1(60)
D^-1(60)=
Click here to see answer by josgarithmetic(39613)

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