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

Tutors Answer Your Questions about Functions (FREE)

Question 462226: 116. Grade of a Highway The grade x of a hill is a measure of the steepness and r responds to the slope of the highway. The accompanying figure shows a grade of x= 10/100 = 10% because the road rises 10 feet for every 100 feet of horizontal run. The braking distance D in feet for a car traveling 60 miles per hour on a wet uphill grade is given by
D(x) = 3600/30x + 9
(b) Find the grade x for a braking distance of 300 feet
Click here to see answer by stanbon(57222)

Question 462253: In this problem find domain of each function is what it says to do
f(x)=4x+7
Click here to see answer by richard1234(5390)

Question 462256: Amy paid $82.49 for a pair of running shoes during a 25% percent off sale. What was the regular price?
Click here to see answer by rfer(12644)

Question 462330: for the function 2y = 7x + 2, what numbers are needed to complete the table below?
Click here to see answer by math-vortex(472)

Question 462454: aaa=12
bbb21
ccc=?
Click here to see answer by JimboP1977(308)

Question 462797: Graph the equation using the slope and y intercept
y=9/5x+7
Click here to see answer by MathLover1(6614)

Question 462796: graph the system of inequalities
y>-5
x>6
Click here to see answer by MathLover1(6614)

Question 462798: Solve the compound inequality
5>-2x+4 or 10<-5x+3
Click here to see answer by MathLover1(6614)

Question 462835: f(x)=12/X^2+22x+105

What is the Domain of F?
Click here to see answer by katealdridge(100)

Question 462906: g(x)=10/1-7x
I need to choose a domain from the following:
x is a real number and (choose one of the answers below)
x is not equal to 1/7
x is not equal to 10
x is not equal to 0
x is greater than or equal to 1/7
I don't have any idea how to solve this. Please help me. Thank you.
Click here to see answer by Gogonati(809)

Question 462912: 5(3x+4)-4
Click here to see answer by jim_thompson5910(28476)

Question 462960: Let f(x) = x^2 - 4 and g(x) = -3x^2. Find g(f(x))...
This is a multiply choice question on an assignment.
At first, I got the answer -3x^4 - 48
But the answer key said it was -3x^4 + 24x^2 - 48
I have no idea how 24x^2 got in there. Can you solve this?
Click here to see answer by scott8148(6628)

Question 463017: If f(4) = 0 and f(6) = 6, which of the following could represent f(x) ?

Click here to see answer by richard1234(5390)

Question 462998: What is the domain of the function?
y=Square root of 3x-4
Click here to see answer by robertb(4012)

Question 463211: I need to find the domain of f(x) = 3x – 9
4x + 20

Click here to see answer by edjones(7569)

Question 463217: I need to add or subtract and simplify
7/x2-x-6+5/x-3
Click here to see answer by emargo19(101)

Question 463494: Consider the functions f(x) = 4x + 2 and g(x) = 5x − 2. What is the value of ( f over g )(4)?

Click here to see answer by Gogonati(809)

Question 463885: is x-2y=10 a function? Explain.
Click here to see answer by stanbon(57222)

Question 463991: 5/12-4/9=
Click here to see answer by algebrahouse.com(1079)

Question 464231: what is the domain and range of f(x)=3x-4? and please show me the solution for my guides.
Click here to see answer by richard1234(5390)

Question 464352: Find the function (do not submit a graph) that is finally graphed after the following transformations are applied to the given function. Please be sure to show all of your work.
f(x)= 1/x
Shift left 1 unit, shift up 3 units, reflect about the y-axis.
Click here to see answer by stanbon(57222)

Question 464359: Given f (x) = –^x2 + x + 2 and g(x) = square root2x+3 , find the following:
a. f g(x), find the domain
b. f g(3)
c. f f(x), find the domain
Click here to see answer by stanbon(57222)

Question 464346: Is the relation below also a function?
{(4.66, -1), (4.6, 9), (4, 11), (-4, -1)}
Click here to see answer by stanbon(57222)

Question 464351: Find the average rate of change for f(x)= 4x² from 0 to 7/4
and the equation of the secant line containing (0, f(0)) and (7/4, f(7/4)). Please show all of your work.
Click here to see answer by stanbon(57222)

Question 464426: Determine whether 25(x-10)²y²=81x² defines y as a function of x. Please show all of your work.
Click here to see answer by Gogonati(809)

Question 464428: Find f(x-3) for the following function. Please show all of your work.
f(x)=x²-6x+1

Click here to see answer by jjordan95(63)

Question 464435: Determine whether the following function is even, odd, or neither. Please show all of your work.
f(x)=8-³√x²
Click here to see answer by richard1234(5390)

Question 464430: Find the average rate of change of fx=x²+7x-4 from x to x+h . Please show all of your work.
Click here to see answer by Gogonati(809)

Question 464434: Given the function f(x)=-2(x+6)²+14 complete the following. Please show all of your work.
(1)If ,fx=14 what is x ?
(2)What point(s) from part (i) are on the graph of f?
(3)List the x-intercepts, if any, of the graph of f.
(4)List the y-intercept, if there is one, of the graph of f.

Click here to see answer by richard1234(5390)

Question 464429: Find the domain of the following function. State your answer in interval notation. Please show all of your work.
f(x)= 8x+15/√22x-121-x
Click here to see answer by stanbon(57222)

Question 464350: For the given functions f and g, find the requested function. Please show all of your work.
f(x) = 6x + 9; g(x) = 3x + 2
find f.g
Click here to see answer by richard1234(5390)

Question 463973: I have a question regarding completing the square. There is no graphing involved, I promise!
A problem reads:
Let f(x)=x^2-16x and g(x)=a-x. There are two values of "a" so that the graph of f o g crosses the y-axis at 0. Find the two values.
Obviously you won't have to graph this. We just have to find where x=0. So we plug that into g(x), and the result is "a". Plugging that into f(x), we get a^2-16a. From there I'm lost, because I don't know how to complete the square. Little help here?
Thanks,
Jessica
Click here to see answer by richard1234(5390)

Question 463777: Domain and range of x-4y^2=0 and its graph
Click here to see answer by robertb(4012)

Question 464731: Find the domain of the following function. State your answer in interval notation. Please show all of your work.
f(x)=8x+15/ √22x-121-x
Click here to see answer by lwsshak3(6463)

Question 463722: can you help me with the domain for the expression written in interval notation for this problem?
sq rt of 8-4x.
thanks
Click here to see answer by lwsshak3(6463)

Question 465032: annual profit in thousands of dollars is given by the function, P(x)=5000-(1000/x-1)), where x is the number of items sold in the thousands, x>1.
question: describe the meaning of 5000 in the equation and describe the number of 1 in the equation.
i think the 5000 is the total profit???? and i have no clue what the 1 is for...
Thank you for your time.
Click here to see answer by solver91311(16868)

Question 465220: State whether the following function is increasing, decreasing, or constant.
f(x) = -1
Click here to see answer by ewatrrr(10682)

Question 465221: Given the following quadratic equation, determine if it has a maximum or a minimum value. Then find the maximum or minimum value. Please show all of your work.
f(x) = -2x²+2x
Click here to see answer by MathLover1(6614)

Question 465222: Solve the inequality. Be sure to show all of your work and show your final answer using interval notation.
x²-100≤0
Click here to see answer by richard1234(5390)

Question 465405: Find the domain of the function and express the answer in interval notation. Explain in words or show the calculations.
A. F(x)=3x-1
B. G(x)=sqrt(x+5)
C. F(x)=16x/(x^2+9)
D. G(x)=13x^2-5x+9
E. F(x)=6/(x-5)
Click here to see answer by stanbon(57222)

Question 465469: Find the domain of the function: x/square root of x-10
Click here to see answer by MathLover1(6614)

Question 465530: Find the domain of f(g(x)) given f(x)=x/x+8 and g(x)=16/x+3. Thank you, all of you do a wonderful service!!!
Click here to see answer by lwsshak3(6463)

Question 465607: the area of a circle depends on the radius.use the equation A(r)=3.14r^2 to compute a(6. round your answer to the nearest hundreth.
Click here to see answer by ewatrrr(10682)

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