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

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Algebra: Functions, Domain, NOT graphing

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Question 45202This question is from textbook College Algebra

: Find the maximum or minimum value of the function:
f(x) = 1 + 3x -x^2
= x^2 + 3x + 1
=-(x^2 -3x + 2.25) +1 + 2.25
=-(x^2 -3x + 2.25) + 3.25
x= -b/2a = -3/2(-1) = 3/2 = max 1.5
y = 3.25
Thank you so much!This question is from textbook College Algebra

Click here to see answer by rapaljer(3631)

Question 45205This question is from textbook College Algebra

: Find the maximum or minimum value of the function
f(x) = -x^2/3 + 2x + 7
x = 2/2(-1/3) = 2/(-2/3)= (2/1)(3/2)= 3 maximum
(-x^2 + 6x + 21 /3) = ((-x^2 + 6x + 9) + 21 + 9)/3)
= (-(x + 3)^2 + 30)/3
= -(x + 3)^2 + 10
y = 10
Thanks so much! This question is from textbook College Algebra

Click here to see answer by rapaljer(3631)

Question 45311This question is from textbook College Algebra

: Use g(x)= 2 - x^2 to evaluate the expression
g(g(3))
2-(2-3^2)^2 = 2 - (11)^2 = 119
Thank you for all your wonderful assistance!This question is from textbook College Algebra

Click here to see answer by tutmath(14)

Question 45309This question is from textbook College Algebra

: Find the domain of the function
g(x) = sqrt(x+1) - (1/x)
domain [-1, infinity) u [-1, infinity) = [-1, infinity)
x not equal to 0

Thanks for all your help!
This question is from textbook College Algebra

Click here to see answer by Nate(3495)

Question 45369: It's been 15 years since I've taken algebra, please show me how you got to the answer.
If f(4)=0 and f(6)=6, what could represent f(x)?x can represent anyone number that solves the equation
Click here to see answer by hope(1)

Question 45486This question is from textbook

: If f(x)= 4x-3 find the following f(-1)This question is from textbook

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Question 45484This question is from textbook

: f(x) = x2 -7x + 10
Find (a) f(0),(b) F(5), and (c)f(-2)
This question is from textbook

Click here to see answer by Nate(3495)

Question 45520This question is from textbook College Algebra

: Use the property of Inverse Functions to show that f and g are inverses of each other:
f(x) = x^3 + 1; g(x) = (x-1)^(1/3)
f(g(x)) = f((x-1)^1/3) + 1 = x-1 + 1 = x
g(f(x)) = g(x^3 + 1) = (x^3 + 1)^3 + 1 = x + 1 -1 = x
f and g are inverses of each other.
Thank you very much!This question is from textbook College Algebra

Click here to see answer by stanbon(26367)

Question 45524This question is from textbook College Algebra

: Find the inverse function of f
f(x) = sqrt(2x-1)
y=sqrt(2x-1)
y^2 = 2x-1
y^2 + 1 = 2x
(y^2 +1)/2 = x
f^-1(x) = y^2 + 1/2
Thank you so very much!This question is from textbook College Algebra

Click here to see answer by stanbon(26367)

Question 45521This question is from textbook College Algebra

: Find the inverse function of f
f(x) = x-2/x+2
y = x-2/x+2 = (x+2)y = x-2
yx + 2y = x-2
yx-x = -2y-2
x(y-1) = -2y-2
x = 2(y-1)/y-1
f^-1(x) = 2x-2/y-1
Thank you for all your help!This question is from textbook College Algebra

Click here to see answer by stanbon(26367)

Question 45518This question is from textbook College Algebra

: Use the Property of Inverse Functions to show that f and g are inverses of each other:
f(x) = 2x, g(x) = x/2
f(g(x)) = f(x/2) = 2(x/2) = x
g(f(x)) = g(2x) = 2(x/2) = x
f and g are inverses of each other, correct?
Thank you very much!This question is from textbook College Algebra

Click here to see answer by stanbon(26367)

Question 45485This question is from textbook

: rewrite as an equation as a function of x
-3x + 4y = 11This question is from textbook

Click here to see answer by adamchapman(301)

Question 45577: Determine the domain of the following:
f(x)=x^2+4x-6
Click here to see answer by stanbon(26367)

Question 45576: Determine the domain of the following:
f(x)=x^2+4x-6
Click here to see answer by stanbon(26367)

Question 45581: Determine the domain of the following:
f(x)=2x-1/3x+7
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Question 45583: A company produces a product for which the variable cost is $10.20 per unit and the fixed cost is $13000.The product sells for $ 19.99.Let x be the number of unitsproduced and sold.
a)Write the total cost of C as a function of the number of units produced.
b)Write the revenue R as a function of the number of units sold
c)Write the profit P as a function of the number of units sold.
Click here to see answer by stanbon(26367)

Question 45654: I told my grandson I would help with his homework and I don't have the heart to tell him I don't know it Could you answer these questions for me:
Why is function notation important? and what's the reasons for function notation? I have not the slightest idea, can you help me on this one?
Bless you heart.....Bessie
Click here to see answer by stanbon(26367)

Question 45660This question is from textbook

: If f(x) = 5x – 1 find following f(a-2)This question is from textbook

Click here to see answer by AnlytcPhil(958)

Question 45752: Find the equation of the following line, write the equation in the slope intercept form. Identify the slope and y-intercept.
Through (1,4) and parallel to x – 2y = 6

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Question 45757: Solve for b:
a=1/2(h)(a+b+c+d)
Click here to see answer by JustJen79(1)

Question 45756: True or False. Explain
The expression17+4(y-6) is read as “the sum of 17 and the difference of y and 6 times 4”.

Click here to see answer by stanbon(26367)

Question 45790: From a square piece of cardboard with width x inches, a square of width x-3 inches is removed from the center. Write the area of the remaining piece as a function of x.
I am at a loss on how to start solving this one.
Click here to see answer by checkley71(8405)

Question 45758: Formulate and solve an equation(s) for the following statement to find the value of the integers.
Four consecutive odd integers have a sum of 120. What are the integers?

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Question 45750: (7) Write the equation of the line passing through (-3,1) with a slope of-1/3 Write the equation in the slope intercept form and in standard form.
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Question 45850: the following two lines represent a function: line (1) has points a(-3,1) b(-1,4) line (2) has points c(1,3) and d(4,1). Give the domain of the function.
i know from my reading it says the Domain is the highest values that make the function work. but i am not sure what that means given the data above.

Click here to see answer by tutorcecilia(2042)

Question 45851: values of two functions (f) and (g) are listed below find the composite (f little circle g)(6).
values for (f) [x=4 f(x)=7 ] for [x=5 f(x)=6] [for x=6 f(x)=5] [x=7 f(x)=4]
values for (g) [x=4 g(x)=6 ] for [x=5 g(x)=7] [for x=6 g(x)=4] [x=7 g(x)=5]
i know from my reading that the composite = f(g(x))
so does that mean i just go to the list and find what g(6)= which is 4.
to find my answer. is it that simple.
Click here to see answer by stanbon(26367)

Question 45906: Find the maximum value of y=-x+6x.
Click here to see answer by Nate(3495)

Question 45907: If P(4,-5) is a point on the graph of the function y=f(x), find the corresponding point on the graph of y=2f(x-6).
Click here to see answer by stanbon(26367)

Question 45753: Formulate and solve an equation(s) for the following statement to find the value of the integers.
Four consecutive odd integers have a sum of 120. What are the integers?

Click here to see answer by checkley71(8405)

Question 45881: How do I even apprehend this? Can you explain each step for me please.
Thanks.
If the inventor charges $4 per unit, then her profit for producing and selling x units is given by the function P(x)=2.25x-7000
(a) What is her profit if she sells 2000 units?
(b) What is her profit if she sells 5000 units?
(c) What is the break-even point for sales?
Click here to see answer by Earlsdon(4900)

Question 45948: ok please help
Find the domain of each function
a) h(x)= x + 3/x-5
b) p(x)= sq rt x^2+7
Click here to see answer by venugopalramana(3286)

Question 46050: Solve using the quadratic formula: 4x^2+12x=-3
Click here to see answer by venugopalramana(3286)

Question 46050: Solve using the quadratic formula: 4x^2+12x=-3
Click here to see answer by atif.muhammad(135)

Question 46049: Find h(g(f(-46))) if f(x) = x-8/9, g(x) =3 -x^2 and h(x)=[x-9]
Click here to see answer by venugopalramana(3286)

Question 46048: Solve for x : 2^x-2 = 4^2x+1
Click here to see answer by venugopalramana(3286)

Question 46047: Find the quotient and remainder when : x^4-2x2+5x-4 is divided by x+3. Use either long or sythetic division
Click here to see answer by venugopalramana(3286)

Question 46074This question is from textbook

: For the function defined by f(x)=5x-4, find a formula for f^[-1(x)].
Thank you.
This question is from textbook

Click here to see answer by Nate(3495)

Question 46285: Without graphing, determine whether the system has one solution, no solution, or an infinite number of solutions.
x+3y = 6
y = - 1/3x + 2
Click here to see answer by jake_6233(74)

Question 46284: without graphing, determine whether the system has one solution, no solution, or an infinite number of solutions.
x = -y
y+ y = 2
thanks a bunch
Click here to see answer by jake_6233(74)

Question 46289: Suppose that x represents one of two positive numbers whose sum is 30. Determine a function f(x) that represents the product of these two numbers.
Click here to see answer by jake_6233(74)

Question 46286: ok so without doing any graphing, we need to determine whether the system has 1, no, or infinite solutions.
x + 2y = 6
y = - 1/2x + 3
thanks a bunch

Click here to see answer by Earlsdon(4900)

Question 46288: Question is: Give the domain of square root of x + 1 over x in interval notation. My first answer was (-infinity, 0) U (0, infinity). I got the second part right but I did not get the first part of the answer right. I know that the reciprocal function f(x) = 1/x contains the domains of (-infinity, 0)U (0, infinity) but apparently this does not help me. Can anyone help?
Click here to see answer by AnlytcPhil(958)

Question 46479: 16-2(x+4)=?
5(100-xsquared)=? *****X=-2******
1000-(2x)Squared=?
(2x)squared=?
Thanks a ton
i really need these Answered

Click here to see answer by mszlmb(115)

Question 46562: Factor out the variable that is raised to the smaller exponent

Click here to see answer by josmiceli(3021)

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