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

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Question 1039319: Find the inverse function of f.
f(x)= 7 - 4x^3
Click here to see answer by ankor@dixie-net.com(22740)

Question 1039393: 1) Consider the region defined by the set R = {(x, y)| x^2 + y^2 < 25}
a) Sketch the region R.
b) Give an example of a function that has R as its natural domain.
Click here to see answer by Edwin McCravy(20054)

Question 1039416: f(x)=4x^2=3x-1
Click here to see answer by chen.aavaz(62)

Question 1039416: f(x)=4x^2=3x-1
Click here to see answer by Alan3354(69443)

Question 1039416: f(x)=4x^2=3x-1
Click here to see answer by MathTherapy(10549)

Question 1039431: A.Given F(x)= x^2+2x+1 g(x)=x+1 and h(x)=x^2-1
Find: (g.h) (-x)
B.Let f and g be defined by f(x)=3x-2 , g(x)=x^2-4, and h(X)=x+2
Find: 1. ((h.g).f) (x)
2.(f.(h/g)) (x) and determine the domain
Click here to see answer by Fombitz(32388)

Question 1039436: Kiko boasted that his salary is 2000 more than twice Gary's salary.If Gary's monthly salary is defined by the function G(x)=415x+3750, where x is the number of working days in a month.
a.Determine the function of Kiko's salary (Hinti: Kiko's salary is defined by K(G(x)))).
b. Find Kiko's salary for August 2016.(Assume that August 2016 has 24 working days).
Click here to see answer by solver91311(24713)

Question 1039473: q(s)= square root 64-s^2
Domain? -8 less or equal to s greater than or equal to 8? Is that what would be said for this problem?
Click here to see answer by ikleyn(52747)

Question 1039502: Hello there, I need help understanding this question:
Consider the equation: x+y^2=1 (where x, y are real numbers.)
(a) Does this equation define y as a function of x? Explain.
(b) Does this equation define x as a function of y? Explain

Click here to see answer by josgarithmetic(39613)

Question 1039578: Name an ordered pair (x, y) on the graph of the following exponential function:

(-5, 3)
(3, -3)
(-3, 3)
(2, 1)

Click here to see answer by solver91311(24713)

Question 1039581: Please help me solve
sqrt(x+1)+2=sqrt(x-15)
Click here to see answer by solver91311(24713)

Question 1039581: Please help me solve
sqrt(x+1)+2=sqrt(x-15)
Click here to see answer by ikleyn(52747)

Question 1039794: Find the inverse of the function.

I know the answer is but how do I solve this?
Click here to see answer by jim_thompson5910(35256)

Question 1039826: {(i,3),(m,9),(b,7),(e,6)}
What is the Domain and range?
Click here to see answer by jim_thompson5910(35256)

Question 1039825: {(i,8),(m,8),(l,8),(h,8)}
What is the Domain and range?
Click here to see answer by Edwin McCravy(20054)

Question 1039857: I need help on this I have no idea what I'm doing:
Let f (x) = 2x^2 + 8x � 5 and g(x) = 4x � 1
(a) Find the composite function (f o g)(x) and simplify the results. Show work.

(b) Find (f o g)(-1) . Show work.
Thank you so much for your guidance on this!
Click here to see answer by Aldorozos(172)

Question 1039859: I really need help on this problem please!
Let f(x) = e^�x � 1.
Answers can be stated without additional work/explanation.
(a) Which describes how the graph of f can be obtained from the graph of y = ex ? Choice: ________
A. Shift the graph of y = e^x to the left by 1 unit and down by 1 unit.
B. Shift the graph of y = e^x to the right by 1 unit and down by 1 unit.
C. Reflect the graph of y = e^x across the x-axis and shift down by 1 unit.
D. Reflect the graph of y = e^x across the y-axis and shift down by 1 unit.
(b) What is the domain of f ?

(c) What is the range of f ?

(d) What is the horizontal asymptote?

(e) What is the y-intercept?

(f) What is the graph of f ?
I really appreciate the help on this. I believe I can find the asymptote once I have some other information as well as the range and domain, thank you so much for any help!

Click here to see answer by Tatiana_Stebko(1539)

Question 1039858: I really need help on this. It would be immensely awesome if you would offer some guidance:
Let f(x)=(6 - x)/(3 + 4x)
(a) Find f^-1 , the inverse function of f. Show work.

(b) What is the domain of f ? What is the domain of the inverse function?

(c) What is f (3) ? f (3) = ______

(d) What is f^-1 ( ____ ), where the number in the blank is your answer from part (c)?

Any help on this is extremely helpful, thank you so much!
Click here to see answer by Aldorozos(172)

Question 1039901: Find the domain of the composite function fog
f(x) = x + 6, g(x) = 1 / x + 9
Click here to see answer by stanbon(75887)

Question 1039910: The logistic growth function f(t) =50,000/1 + 1249.0e-1.3t
models the number of people who have become ill with a particular infection t weeks after its initial outbreak in a particular community. What is
the limiting size of the population that becomes ill?
Click here to see answer by Theo(13342)

Question 1039984: I'm having a hard time w/ this and could really use some help please!:
For "a" am I multiplying the denominator to get rid of it and coming up w/ something like f^-1(y)= (x-something?). I'm not sure there.
Let f(x)=(6 - x)/(3 + 4x)
(a) Find f^-1 , the inverse function of f. Show work.

(b) What is the domain of f ? What is the domain of the inverse function?

(c) What is f(3) ? f (3) = _1/5___

(d) What is f^-1 ( ____ ), where the number in the blank is your answer from part (c)?
I"m getting really stressed and could use some help please. Thank you!

Click here to see answer by Boreal(15235)

Question 1040024: f(x)=3x-1�and�g(x)=x2+4x+1. Evaluate the following.
1. f(a-2)
2. g(a-2)

Click here to see answer by jim_thompson5910(35256)

Question 1040028: Let�f(x)=x^2−3, evaluate the following.
a.�f(a)+3=��
b.�f(a+3)=��
c.�f(g+b)=

Click here to see answer by jim_thompson5910(35256)

Question 1040027: Let f(x)= 1/x-2 and g(x)=1/x +4
a.�f(1/2)=��
b.�g(1/2)=

Click here to see answer by Aldorozos(172)

Question 1040025: If�f={(4,4),(−4,−3),(2,34),(π,−3)}f={(4,4),(-4,-3),(2,34),(π,-3)}�and�g={(1,3),(−1,3),(34,−2)}g={(1,3),(-1,3),(34,-2)}, find each of the following values of�f�and�g.
a.�f(4)�=�
b.�g(1)�=��
c.�g(3/4)�=��
d.�f(2)�=��
e.�g(−1)�=��
f.�f(π)�=�

Click here to see answer by solver91311(24713)

Question 1040032: I've tried and I can't figure out how to determine y as a function of x
For this problem. X^2+y^2=25
Click here to see answer by ankor@dixie-net.com(22740)

Question 1040032: I've tried and I can't figure out how to determine y as a function of x
For this problem. X^2+y^2=25
Click here to see answer by ikleyn(52747)

Question 1040026: f(x)=x^2-1�and�g(x)=4x+3 evaluate the following.
c.�3f(x)−g(x)=
d.�f(g(2))�=�
e.�g(f(2))=

Click here to see answer by Aldorozos(172)

Question 1040052: For the function�f(x)= −1/4x +2, find the value of�x�for which�f(x)=x.

Click here to see answer by Aldorozos(172)

Question 1040043: when a polynomial f(x) is divided by (x-3) the remainder is -9 and when divided by (2x-1), the remainder is -6. Find the remainder when f(x) is divided by (x-3)(2x-1)
Click here to see answer by robertb(5830)

Question 1040330: F(x+h)-f(x)/h where f(x)=x^2-x+4
Click here to see answer by jim_thompson5910(35256)

Question 1040379: I'm having some trouble remembering the answer to this question:
If a function f has exactly one x-intercept. Does that mean it's a linear function?
I really appreciate your help, thank yoU!

Click here to see answer by ikleyn(52747)

Question 1040488: which one of these intervals would be considered decreasing if it was on a graph?
A. (� 2, 2)
B. (� 1, 3)
C. (��, 2)
D. (��, � 2.5) and (1, 4.5)

In c and d where it looks like a - y its suppose to be a negative sign and a loop like the number 8 turned side ways.
Click here to see answer by ikleyn(52747)

Question 1040498: Let f (x) = x2 + 18x + 84.
(a) Find the vertex. Answer: ________
(b) State the range of the function. Answer: ________
(c) On what interval is the function decreasing? Answer:______
Click here to see answer by ikleyn(52747)

Question 1040506: Given the function f(x)= 1/4 x-8 , find a formula for the inverse function. Show work.
Click here to see answer by stanbon(75887)

Question 1040494: The linear function C(t)=p+ant models the cost for four college sophomores to purchase a car and gasoline for a three-year period. In this function, t is the number of years, p is the purchase price of the car, a is the average cost of gasoline per gallon, and n is the average number of gallons purchased per year.If p=$29.000,a=$3.85 per gallon,and n=832 gallons per year, what is the cost(to the nearest dollar)for each student during the three years of ownership?
Click here to see answer by Aldorozos(172)

Question 1040585: Hi there, I could use your help with the following problem:
The fuel efficiency F for a particular car is given by:
F(x) = �.016x^2 + 1.44x + 5.4
where x is the speed of the car in miles per hour (mph) and F(x) is the corresponding fuel efficiency in miles per gallon (mpg).
What is the fuel efficiency if the car�s speed is 20 mph?
I came up with 34.3024, but I"m confused on the next question:
What speed will yield the maximum fuel efficiency?
any help or guidance would be greatly appreciated! Thank yoU!
Click here to see answer by josmiceli(19441)

Question 1040580: Hi there, I'd just like confirmation that I'm doing this correctly:
I have f(x) = 1/7x - 6 and I need to find the formula for the inverse function.
I'm coming up with this:
Flip 1/7 to become 7/1x or 7x. Multiply 7*6 to get 42 flip the sign.
F^-1(x) = 7x + 42
am I on the right path? Thank you!

Click here to see answer by ikleyn(52747)

Question 1040577: I'm a little fuzzy on this question and could use some expertise:
Let f(x) = 7x^2 + 5 and g(x) = x � 3.
(a) Find the composite function (f o g)(x) and simplify.
(b) Find (fog)(2)
am I writing (7x^2 +5)(x-3)(x) for A and (7x^2 +5)(x-3)(2) for B?
I really appreciate any assistance! Thank you!
Click here to see answer by stanbon(75887)

Question 1040622: I need help with this problem please:
x-8/x-5 + 30/x^2-25 = 0
I'm not sure where to begin on this and any help would be greatly appreciated!
Click here to see answer by Boreal(15235)

Question 1040681: Which of the following equations does not represent direct variation?
A)y=5x
B)y=
C)xy=8
D)
Click here to see answer by ikleyn(52747)

Question 1040701: For f(x) √x-1 and g(x)=√4-x,find (f/g)(x)and its domain
Click here to see answer by stanbon(75887)

Question 1040728: whats the answer of (g o f) ?
Click here to see answer by josgarithmetic(39613)

Question 1040778: If f(x-5)=3x-10 for all values of x, what is the value of f(-2)?
Click here to see answer by Fombitz(32388)

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