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

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Question 936857: What is the domain and the range of f(x) = square root of (3x - 5)?
Click here to see answer by josgarithmetic(39618)

Question 936847: If f(4)=0 and f(6)=6. Which of the following couldd represent f(x)? Answer is 2/3x-4. How?
Click here to see answer by Fombitz(32388)

Question 936858: If 5X + 2y = 4 and -4 < x is less than or equal to 4, find the range of values of y. Thank you for your detailed solution.
Click here to see answer by Fombitz(32388)

Question 937047: h(x)=√1-x
Click here to see answer by Alan3354(69443)

Question 937066: Hi, I need help! Use the function to evaluate the indicated expressions and simplify.
h(x)=6x-18
h(x/3), h(x)/3
Click here to see answer by TimothyLamb(4379)

Question 933091: Find the indicated function value, if it exists, given f(x)=2-x and g(x)=sqrt 3-x
(fg)(-1)
Click here to see answer by LouMau(1)

Question 937340: f(x) = (x+1)^3/4
For the function f, defined above, what are all the values of x for which f(x) is a real number?
Answer for this is x >= -1
Would like to have an explanation for this answer.
Click here to see answer by MathLover1(20850)

Question 937507: Compute : F(x+h)/h - F(x) / h With "h" not equal to "zero" in simplest form if f(x)=4x
Click here to see answer by Fombitz(32388)

Question 937401: Find an expression for the function whose graph is the given curve. (Assume that the points are in the form (x, f(x)).)
The line segment joining the points
(1, −1), and (5, 13)
f(x)= ?
Click here to see answer by ewatrrr(24785)

Question 937396: Suppose a computer virus begins by infecting 8 computers in the first hour after it is released. Each hour after that, each newly infected computer causes 8 more computers to become infected. The function y = 8x models this situation. Make a table with integer values of x from 1 to 4 in the space below.
Click here to see answer by ewatrrr(24785)

Question 937562: If f(x)=x^2+3x-5 and g(x)=2x-3
Determine each
a) x when f(x)=g(x)
b) g^-1(-5)
Thank you
Click here to see answer by ewatrrr(24785)

Question 937605: Find the range of this function f(x) defined over the largest possible domain.
x + 1/x
I tried to do this by completing the square by multiplying out the x at the bottom. So I got:
x^2 + 1 = 0
(x+1/2)^2 -1/4 = 0
So f(x) > 1/4
But the textbook says f(x) < or equal to -2
or f(x) > or equal to 2.
I really need help on how to get to these answers.
Click here to see answer by josgarithmetic(39618)

Question 937659: f(x)=4x+8
g(x)=2x-12
(f+g)(x)
(f-g)(x)
(f*g)(x)
Click here to see answer by TimothyLamb(4379)

Question 937635: x^2 - 4x + 9

Click here to see answer by TimothyLamb(4379)

Question 937715: ﬁnd the domain of the indicated function.
Express answers in both interval notation and inequality notation.
h(z) = 2/(4-z)
Click here to see answer by MathLover1(20850)

Question 937720: Determine which of the equations deﬁne a function with independent variable x. For those that do, ﬁnd the domain. For those that do not, ﬁnd a value of x to which there corresponds more than one value of y.
X^3 � y = 2
Click here to see answer by TimothyLamb(4379)

Question 937729: For the given functions f and g, find the following and state the domain of each result.
f(x)= sqrt x; g(x)=8x-9
(A) (f*g)(x)=
(B). (F/g)(x)=
Click here to see answer by MathLover1(20850)

Question 937719: Determine which of the equations deﬁne a function with independent variable x. For those that do, ﬁnd the domain. For those that do not, ﬁnd a value of x to which there corresponds more than one value of y.
2x + ǀyǀ=7
Click here to see answer by stanbon(75887)

Question 937718: ﬁnd the domain of the indicated function.
Express answers in both interval notation and inequality notation.
L(u) = √(3u^2 )+4
Click here to see answer by stanbon(75887)

Question 937660: f(x)=x-2 and g(x) = x2 (squared) find each value
(g o f)(4)

(f o g)(-1)
Click here to see answer by nerdybill(7384)

Question 937954: Identify the domain:
f(x)=-2x/(x+1)
The answer is All Reals Except -1
How do I get that answer?
Click here to see answer by richard1234(7193)

Question 938119: What is the domain in interval notation of x squared-3x-4 ?
Click here to see answer by ewatrrr(24785)

Question 938137: f(x) = (2x + 3)(x − 2) and g(x) = 2x2 − 16. Find g(x) − f(x).
a. x-10
b. -4x^2+4x-13
c. -4x^2+4x-19
d.4x-19
e.x^2-10
Click here to see answer by ewatrrr(24785)

Question 938601: our teacher asked us to consider this relation below:
A = { (x, y) ∈ ℝ^2 ∶ y^3 = x^2 }
Is A a function of x on ℝ?
*please note R is the symbol for real numbers
After considering it i don't think it is a function as the square root of a negative number does not exsist as a real number ?
so would this not be a function of x on R? or is my thinking in correct or is this relation in fact a function?
An explanation would be greatly appreciated thank you
Click here to see answer by jim_thompson5910(35256)

Question 939016: determine the domain of h(x)=(1/(x^2+x-2))+sqrt(2x+2)
Click here to see answer by lwsshak3(11628)

Question 939032: 3/x^2+2/x=10/2x^2
solve for x. show all work.
Click here to see answer by josgarithmetic(39618)

Question 939033: solve for x. show all work.
x-2/4+x/3=3
Click here to see answer by srinivas.g(540)

Question 939030: solve for x. show all work.
2-4/x^2=-2/x
Click here to see answer by srinivas.g(540)

Question 939029: solve for x. show all work.
3/x-2+4/5 =27/5(x-2)

Click here to see answer by ewatrrr(24785)

Question 939206: joe ate two-thirds of nine different candy bars. if you put the pieces together how many of the candy bars are left.
Click here to see answer by TimothyLamb(4379)

Question 939322: ﬁnd the indicated function value, if it exists,
given f(x) = 2 - x and g(x) √3-x
(f + g)(-3)

Click here to see answer by josgarithmetic(39618)

Question 939310: f(x)= ; g(x)=1-x. Find g o f
Click here to see answer by josgarithmetic(39618)

Question 939324: ﬁnd the indicated function value, if it exists,
given f(x) = 2 - x and g(x) √3-x
( f � g)(-2)

Click here to see answer by srinivas.g(540)

Question 939323: ﬁnd the indicated function value, if it exists,
given f(x) = 2 - x and g(x) √3-x
(fg)(-1)

Click here to see answer by srinivas.g(540)

Question 939323: ﬁnd the indicated function value, if it exists,
given f(x) = 2 - x and g(x) √3-x
(fg)(-1)

Click here to see answer by MathTherapy(10552)

Question 939291: What is the domain of the function (in interval notation): f(x)=(2x^3-5)/(x^2+2x-15)?
Click here to see answer by lwsshak3(11628)

Question 939536: Find the domain and range of the function. (Enter your answers using interval notation.)
f(x) = 1/ 4+x

Click here to see answer by stanbon(75887)

Question 939658: I was hoping to get some help I took this problem from my book, I have homework problems that are the same can some one show me how to work this?
For each set of ordered pairs, determine if the set is a function, a one-to-one function, or neither. Reverse all the ordered pairs in each set and determine if this new set is a function, a one-to-one function, or neither.
{(1, 2), (2, 1), (3, 4), (4, 3)}
Click here to see answer by KMST(5328)

Question 939774: For the real-valued functions
g(x)=√2x+18 and h(x)=x-5 , find the composition g∘h and specify its domain using interval notation.

any help greatly appreciated.
Click here to see answer by stanbon(75887)

Question 940049: PROFIT ANALYSIS A consultant hired by a small manufactur-
ing company informs the company owner that their annual proﬁt
can be modeled by the function P(x) = -1.2x2 + 62.5x - 491
where x represents the number of employees and P is proﬁt in thou-
sands of dollars. How many employees should the company have to
maximize annual proﬁt? What is the maximum annual proﬁt they
can expect in that case?
Click here to see answer by srinivas.g(540)

Question 940032: for the indicated functions f and g, ﬁnd the functions f�g ,and g�f, and ﬁnd their domains.
f(x)= x^3; g(x)= x^2 - x + 1
Click here to see answer by srinivas.g(540)

Question 940031: for the indicated functions f and g, ﬁnd the functions f�g ,and g�f, and ﬁnd their domains.
f(x)=|x+1|; g(x)= 2x + 3
Click here to see answer by srinivas.g(540)

Question 940050: A sandbag is dropped off a high-altitude
balloon at an altitude of 10,000 ft. When will the sandbag hit the
ground?
Click here to see answer by MathLover1(20850)

Question 940092: for the indicated functions f and g, ﬁnd the
functions f + g, f - g, fg, and f|g, and ﬁnd their domains.
f(x)= 4x; g(x)= x + 1

Click here to see answer by ewatrrr(24785)

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