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

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Question 819913: When i want to find inverse of my function algebrically sometimes i will fine for exampke 3x-2/1-x and sometimes -3x+2/-1+x is there any difference between these
Click here to see answer by jsmallt9(3758)

Question 820222: Suppose y varies inversely with x. Write an equation for the inverse variation.
y=6 when x=3
Click here to see answer by ortarico(23)

Question 820707: Hello,
Can someone please guide me on how to answer the following question?
Thanks very much.

The domain of the inverse
is the set of real numbers between which numbers?

Click here to see answer by stanbon(75887)

Question 820874: I am not understanding this one bit.
Evaluate the function at the indicated values
f(x)=x^2-6 ; f(-3),f(3), f(0), f(1/2), f(10)
The book is confusing. I hope I wrote the equation down correctly.
Click here to see answer by ewatrrr(24785)

Question 820941: Input table/Output Table
0 4
1 4.5
2 5
3 5.5
4 6
What is the rule using multiplication addition or subtraction?
Click here to see answer by ewatrrr(24785)

Question 821147: 1. This equation is given in vertex form, write it in standard form.
f(x)= -(3/4)(x+2)^2 +8
2. Convert each quadratic function to vertex form by completing the square.
a)y=x^2-9x+3
b)y= -2x^2+28x-7
3.Determine the vertex of the quadratic function.
y=-24x^2+18x+11
-state the axis of symmetry
-the miminum or maximum value
-the domain and range

Click here to see answer by josgarithmetic(39618)

Question 821343: Determine the value of x(6-x)+5 when x=3
Click here to see answer by stanbon(75887)

Question 821571: Piecewise confuse me. Please help me understand this equation.
Evaluate the piecewise defined function at the indicated values.
f(x)= { x^2+2x if x ≤ -1
{ x if -1< x ≤ 1
{ 1 if x > 1
f(-4), f(-2/3), f(-1), f(0), f(25)
Please help.
Click here to see answer by TimothyLamb(4379)

Question 822016: Identify the range of y=|x|-4
Click here to see answer by stanbon(75887)

Question 821115: determine if the function is one-to-one. H(x)=4-x^2
Click here to see answer by tommyt3rd(5050)

Question 821116: determine if g is the inverse of f.
f(x)=3x + 5; g(x)=1/3x - 5/3
Click here to see answer by tommyt3rd(5050)

Question 822132: Use the function to evaluate the indicated expressions and simplify.
f(x)=x^2+1; f(x+2),f(x)+f(2)
I'm getting the correct answer for the first part of the equation X^2+4x+5, It's just the second part that is giving me problems. The book is getting x^2+6. I am not getting anything near that. Can you please help.
Click here to see answer by jsmallt9(3758)

Question 822226: Is the function f(x) = x^3+ 5 for all x element of R an onto function.
Click here to see answer by math-vortex(648)

Question 822420: It costs a general admission fee of $6 to get into the fair and then $1 for each ride.
Which of the following equations would represent the total cost to ride x rides at the fair?

f(x) = 6x
f(x) = 7x
f(x) = 6 + x
Click here to see answer by TimothyLamb(4379)

Question 822491: If the x values are (-1,0,2,5)
and the y values are (-4,-2,2,8)
what is the relationship and equation?
Click here to see answer by TimothyLamb(4379)

Question 822512: Tell whether the given quadratic function has a minimum or maximum point. Give the coordinates of those minimum and maximum points.
1. f(x)= 3x�+2x
2. f(x)= -3x�-2x
3. f(x)= x�+5x+15
4. f(x)= -2x�+11x-12
5. C(x)= 0.002x�+1.2x+60
Click here to see answer by TimothyLamb(4379)

Question 822538: if f(x)=3-x-x^2 then what is( F(x+h)-f(x-h))/h
Click here to see answer by jsmallt9(3758)

Question 822561: find the domain
x^5-7x/x^3-2
Click here to see answer by jsmallt9(3758)

Question 822910: g(2)= -3x-6 can you please help me work out this problem?
Click here to see answer by Alan3354(69443)

Question 822949: Hey I need help on this one problem so basically I have to right in the domain for 2 ordered pairs but I do not get how to put them in for the domain. So the 2 ordered pairs are (-7,-7) and (0,-6). Something that I think could be correct is -7
Click here to see answer by josgarithmetic(39618)

Question 822947: (0,2) (1,1) (2,0) (3,-1) (4,-2) whats the function rule
Click here to see answer by josgarithmetic(39618)

Question 823125: Find the value(s) of x in the domain of f(x)= -x^2+4x+1 for which f(x) = -4. Please show all work.
Thank you for your assistance.
Click here to see answer by TimothyLamb(4379)

Question 823125: Find the value(s) of x in the domain of f(x)= -x^2+4x+1 for which f(x) = -4. Please show all work.
Thank you for your assistance.
Click here to see answer by stanbon(75887)

Question 823127: Prove that f(x)=√x+8, domain [-8,∞) and g(x)= x^2-8, domain [0,∞) are inverses of each other using algebraic methods
Click here to see answer by stanbon(75887)

Question 823213: Please help me solve this equation? Thank you
y=3x-3
(1/2)x-y=-2
Click here to see answer by TimothyLamb(4379)

Question 823268: Please help me sketch by first determining the axial intercepts and asymptotes.
Thank you
Click here to see answer by Edwin McCravy(20056)

Question 823324: A recipe for cake calls for 1 2/3 cups of brown sugar. If you are only making a half-batch, how much brown sugar

would you need?
Click here to see answer by jim_thompson5910(35256)

Question 823452: evaluate the function at the given value of the independent variable and simplify
f(x)=7x+4;f(-6)
Click here to see answer by TimothyLamb(4379)

Question 823661: Please help me with this : f(x)=8x^2+6 and g(x)=6x+a, find a so that the graph of f of g crosses the y-axis at 78
Click here to see answer by stanbon(75887)

Question 823666: Please help me with this problem. find the difference quotient of f, that is, find f(x+h)-f(x)/h, h does not equal 0
f(x)=x^2-7x+4
Find f(x+h)-f(x)/h=
Click here to see answer by josgarithmetic(39618)

Question 823619: Find gof if f(x) =2x-1 and g(x) =x-2
Click here to see answer by math-vortex(648)

Question 823701: Find functions f and g so that f of g = H
H (x)= square root of x^2+4
Please help with this problem
Click here to see answer by math-vortex(648)

Question 823704: x + 4y -z=2
4x-10y+z=-21
-4x+38y-5z= 55
Please help I found that x=-2 , but couldn't find the others so is this inconsistent ?
Click here to see answer by TimothyLamb(4379)

Question 823734: Given f(x)=x^2+8 and g(x)=square root of x-5, x>=5, find
a. (g*f)(x)
b. (g*f)(7)
Click here to see answer by oscargut(2103)

Question 823685: Let f(x) = 5x + 4. Find f(x) - f(a) / x-a, if x does not equal a.
Click here to see answer by math-vortex(648)

Question 823848: Given the following function rules and domains, find the associated ranges. Show work.
(a) f(x) = 5x + 3, Domain = {0, 1, 2, 3, 4}
(b) f(x) = x^2 - 1, Domain = {1, 9, 4}

Click here to see answer by stanbon(75887)

Question 824181: Find the Domain of the function.
f(x)= sqrt(x)+sqrt 1-x
When I solve the equation I get [1, infinity)
the book gets [0,1]
Where am I going wrong. And how is the book getting something so different than I am.
Click here to see answer by math-vortex(648)

Question 824182: Find f+g,f-g,fg, and f/g and their domains.
f(x)=x-3, g(x)=x^2
I am really struggling with this section. Please help.
Click here to see answer by stanbon(75887)

Question 824280: for the given function find the following function values (show work)
f(x)= 3√x−1
Click here to see answer by tommyt3rd(5050)

Question 824344: For the given functions f and g, find the requested function and state its domain.
f(x) = 3x + 5; g(x) = 7x + 8
Find f ∙ g.

Click here to see answer by jim_thompson5910(35256)

Question 824347: Find the average rate of change for the function between the given values.
f(x) = sqrt 2x ; from 2 to 8
Click here to see answer by stanbon(75887)

Question 824347: Find the average rate of change for the function between the given values.
f(x) = sqrt 2x ; from 2 to 8
Click here to see answer by jsmallt9(3758)

Question 824347: Find the average rate of change for the function between the given values.
f(x) = sqrt 2x ; from 2 to 8
Click here to see answer by tommyt3rd(5050)

Question 824346: Find and simplify the difference quotient of f, f(x+h)-f(x) divided by h, h=0, for the function f(x) = (1/2)x.

Click here to see answer by stanbon(75887)

Question 824363: Let f(x)= 3x+2 and g(x)=6x-7
Find f(x)-g(x)
Click here to see answer by TimothyLamb(4379)

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