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

Tutors Answer Your Questions about Functions (FREE)

Question 43831: If f(x)=x^2+5, find f(a+h)-f(a). Thank you for any help you can provide.
Click here to see answer by stanbon(75887)

Question 44241: find all numbers not in the domain of the function
f(x)= 6 over x+6
Click here to see answer by Nate(3500)

Question 44240: find all numbers not in the domain of the function
f(x)=x^2-16 over x^2-2x-8
help
Click here to see answer by Nate(3500)

Question 44301: OK THIS IS A DUMB QUESTION BUT I HAVE NO ONE TO ANWSER IT RIGHT NOW. WHEN I'M ASKED TO FIND THE DISTANCE OF TWO POINTS THAT MEANS I FIND THE SLOPE RIGHT?
Click here to see answer by venugopalramana(3286)

Question 44393: f(x)=x^5+x^4-2x^3-x^2-x+2 i have to find all real and imaginary zero's, and can you explain the multiplicity of the real zero's for me,thanks.
Click here to see answer by stanbon(75887)

Question 44537: Solve the equation 4^(2x+1)=2^(3x+6).
Thanks.
Click here to see answer by venugopalramana(3286)

Question 44543: if i have a quintic function with two real zeros i know that one real zero has a multiplicy of 2 does that mean the other real zero has to have a multiplicty of three,if so how man imaginary zeros should i get? the same for a cubic if i have one real zero what is the multiplicty of it?
Click here to see answer by stanbon(75887)

Question 44625: Find the product

Click here to see answer by Nate(3500)

Question 44648: I need to rewrite the equation so that y is a function of x:
-4x + y=9.can you help me?? Thank you,E
Click here to see answer by stanbon(75887)

Question 44776: what is the inverse of f(x)= 2x+1 ?
what is the inverse of f(x)= x(to the second power) -3?
Click here to see answer by Nate(3500)

Question 44841: Are the four listed functions even or odd?
f(x)=0
f(x)=-x+2
f(x)={|x| if x<0 and x^2 if x > or equal to 0}
f(x)=4x^94
Thank you.
Click here to see answer by adamchapman(301)

Question 44921: Determine the average rate of change of the function between the given values of the variable.
f(z)= 1 - 3z^2; z= -2, z = 0
I came out with 5
Thank you so much!
Click here to see answer by stanbon(75887)

Question 44924: A linear function is given. (a) Find the average rate of change of the function between x = a and x = a + h. (b). Show that the average rate of change is the same as the slope of the line.
g(x) = -4x + 2
I came out with 4 for both answers.
Thank you so much!
Click here to see answer by venugopalramana(3286)

Question 44839: Evaluate this problem:
-3/5[2-3-1/2(3/4-1/2)]
Click here to see answer by AnlytcPhil(1806)

Question 44922: Determine the average rate of change of the function between the given values of the variable.
f(x) = 4-x^2; x=1, x= 1 + h
I came out with h(-h-2)
Thank you so much!
Click here to see answer by AnlytcPhil(1806)

Question 45020: The graph of a function is given. Determine the average rate of change of the function between the indicated values of the variable.
The graph is an arch passing through points (1,4) and (5,2)
ARC = 2-4/5-1 = -2/4 = -1/2
Thank you so much!
Click here to see answer by stanbon(75887)

Question 45039: Find the horizontal asymptote of the rational function f(x)=8x-12/4x-2.
My answer is y=1/2.
Thanks.
Click here to see answer by Nate(3500)

Question 45063: Determine the domain, range and reverse of these functions. Then determine if they are functions.
((-3,5),(-3,6),(4,5),(4,6)). I need help what do i do
Click here to see answer by Nate(3500)

Question 45064: Please help to show work.
Find the x and y intercepts of the following function.
y =(x+5)(x-3)
Click here to see answer by Nate(3500)

Question 45062: Help to show the work please.
Find the (a) domain and range, (b) determine the intervals over which the function is increasing, decreasing, or constant and (c) determine any maximum or minimum values. f(x)=2-x^2
Click here to see answer by Nate(3500)

Question 45072: can you please show me how to work out this problem:
Suppose that V(x) represents the number of the violent crimes commited in the year "x" and P(x) represents the number of property crimes commited in year "x". Determine a function T that represents the combined total of violent crimes and property crimes in year "x".
Click here to see answer by adamchapman(301)

Question 45078: x y
-4 -6
0 6
2 12
6 24
How can you tell if this is a linear function and Why? How do you find the equation for this data.
I say yes this is a linear function because there is only one input per output, but I do not know why?
The equation I think is y = mx + b, I do not know how to put in the numbers.
Click here to see answer by Nate(3500)

Question 45086: how do you find a vertical and horizontal intercept? (-6,6) (5,2)
would I be right to say
6-2 = 4
-6-5 + -11

Click here to see answer by stanbon(75887)

Question 45022: Suppose the graph of f is given. Describe how the graph of each function can be obtained from the graph of f:
a. y = f(x+5) Shift the graph of y=f(x) to the left 5 units
b. y = f(x) + 5 Shift the graph of y=f(x) upward 5 units.
Thank you so much once again!
Click here to see answer by stanbon(75887)

Question 45203: Find the maximum or minimum value of the function
f(t)= 10t^2 + 40t + 113
t = -40/(2*10) = -40/20 = -2 minimum
10(t^2 + 4t) + 113
10(t^2 + 4t +4) + 113 - 40
10(t + 2)^2 + 73
y = 73
Thank you very much again!
Click here to see answer by rapaljer(4671)

Question 45202: 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!
Click here to see answer by rapaljer(4671)

Question 45205: 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!
Click here to see answer by rapaljer(4671)

Question 45311: 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!
Click here to see answer by tutmath(14)

Question 45309: 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!

Click here to see answer by Nate(3500)

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 45486: If f(x)= 4x-3 find the following f(-1)
Click here to see answer by Nate(3500)

Question 45484: f(x) = x2 -7x + 10
Find (a) f(0),(b) F(5), and (c)f(-2)

Click here to see answer by Nate(3500)

Question 45520: 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!
Click here to see answer by stanbon(75887)

Question 45524: 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!
Click here to see answer by stanbon(75887)

Question 45521: 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!
Click here to see answer by stanbon(75887)

Question 45518: 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!
Click here to see answer by stanbon(75887)

Question 45485: rewrite as an equation as a function of x
-3x + 4y = 11
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(75887)

Question 45576: Determine the domain of the following:
f(x)=x^2+4x-6
Click here to see answer by stanbon(75887)

Question 45581: Determine the domain of the following:
f(x)=2x-1/3x+7
Click here to see answer by stanbon(75887)

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(75887)

Question 45660: If f(x) = 5x � 1 find following f(a-2)
Click here to see answer by AnlytcPhil(1806)

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

Click here to see answer by tutmath(14)

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