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

Tutors Answer Your Questions about Functions (FREE)

Question 971750: What is the range of the function f(x)=3x^2+2 if the domain is {-3, 0, 4} ?
Click here to see answer by dkppathak(439)

Question 971807: Find the domain of:- √5-x + √x+1
Click here to see answer by Boreal(15235)

Question 971826: use algebra to find the coordinates of the points of intersection of g and h
g(x)=-4/x and g(x)=-2x+2
Click here to see answer by rothauserc(4718)

Question 971832: A football is punted from a height of 2.5 feet above the ground with an initial vertical velocity of 45 feet per second.
Write an equation to model the height h in feet of the ball t seconds after it has been punted.
The football is caught at 5.5 feet above the ground. How long was the football in the air?

Click here to see answer by Alan3354(69443)

Question 971848: There are 4 pints of green paint in a gallon bucket. The paint is made from equal amounts of yellow paint and blue paint. To create a different shade of green, the mixture needs to be 80% yellow. How many pints of yellow paint need to be added to the bucket to make the mixture 80% yellow?
Brandon says to get that shade of green, 6 pints of yellow paint need to be added to the bucket. Bianca says that won't work. In two or more complete sentences, explain who is correct and why. In your explanation, include the calculations to support the correct answer.

Click here to see answer by macston(5194)

Question 971870: Find domain for f(x)=3x+5, f(x)=3x/x+4
Click here to see answer by nerdybill(7384)

Question 971868: Find the domain of f(x)=6x^2+4

Click here to see answer by jim_thompson5910(35256)

Question 971845: David knew he made a mistake when he calculated that Gilda walks 123 miles to the station. Read through David's calculations:
Using d = rt, the distance is the same, but the rate and time are different.
If Gilda misses the train, it means the time t needs 7 more minutes so d = 3(t + 7).
If she gets to the station 5 minutes early means the time t can be 5 minutes less so d = 4(t - 5).
3(t + 7) = 4(t - 5)
3t + 21 = 4t - 20
t = 41
d = rt, so d = 3(41) = 123
Find David's mistake in his calculations. In two or more complete sentences, explain his mistake. Include the correct calculations and solutions in your answer.
Click here to see answer by Boreal(15235)

Question 972021: The graph of f contains the points (1, 3), (5, 7), and (7, 3). What is f(5)?

Click here to see answer by Alan3354(69443)

Question 971833: Part of a cheerleading routine is throwing a flyer straight up and catching her on the way down. The flyer begins this move with her center of gravity 4 feet above the ground. She is thrown with an initial vertical velocity of 30 feet per second.
Will the flyer�s center of gravity ever reach 20 feet? In two or more complete sentences, explain how you found your answer.
For the flyer to have her center of gravity reach 25 feet, what does the initial velocity need to be? In two or more complete sentences, explain how you found your answer.
Click here to see answer by KMST(5328)

Question 972019: f(x)= √x; g(x)=4x-5
Find f/g.
(f/g)(x)=
Domain=
Click here to see answer by josgarithmetic(39618)

Question 972019: f(x)= √x; g(x)=4x-5
Find f/g.
(f/g)(x)=
Domain=
Click here to see answer by farohw(175)

Question 972017: f(x)= 7x+3/5x-2; g(x)= 3x/5x-2
Find f-g.
Click here to see answer by josgarithmetic(39618)

Question 972152: given functions f(x)=x^+4;g(x)=square root of 7-x
find (f0g)& (g0f)& domains for each??

Click here to see answer by Boreal(15235)

Question 972375: Find and simplify the difference quotient of (f(x+h) - f(x)) /h where f(x)=x^2+2x+3 and h can't = 0
Click here to see answer by nerdybill(7384)

Question 972417: If f ′(x) = −7 x−3 and f(0) = −5, find f(x).
I think I get the basic, but can someone explain with steps?
Click here to see answer by nerdybill(7384)

Question 972440: domain and range of function
f(x)=(x^2-2x+5)^1/2
Click here to see answer by Boreal(15235)

Question 972515: F(x)= -9sin5x
Click here to see answer by Alan3354(69443)

Question 972704: Identify the natural domain of the relation y=1/x , if x is the input variable
elviarojas@ymail.com
Click here to see answer by stanbon(75887)

Question 972703: Identify the natural domain of the relation y=x^2 -1, if x is the input variable
elviarojas@ymail.com
Click here to see answer by josgarithmetic(39618)

Question 972782: h(x)=2x^2+5x-3

Click here to see answer by Alan3354(69443)

Question 972867: How to answer the question tht says the graph of f(x) doubles the input and then squares the results
Click here to see answer by solver91311(24713)

Question 972940: Determine whether the formula describes y as a function of x. Explain your reasoning.
y = -x
Click here to see answer by josgarithmetic(39618)

Question 972945: what is the value of f[g(2)] if f(x)=-2x-1 and g(x)=-x
Click here to see answer by MathLover1(20850)

Question 972922: Hello Tutor Can you please help me answer this question.
How are polar coordinates useful for working with complex numbers (hint: think about powers and roots)?
Click here to see answer by solver91311(24713)

Question 972968: if f(x)=3x-6 and if g(f(x))=x then g(x)=?
Click here to see answer by Boreal(15235)

Question 973070: why is the domain of square root of x^2 + x equal to x>=0 or x<= -1?
Click here to see answer by josgarithmetic(39618)

Question 973103: The quadratic function f(x) has one zero at x=-5 and a turning point at (3,10). What is the value of its other zero?
Click here to see answer by reviewermath(1029)

Question 973103: The quadratic function f(x) has one zero at x=-5 and a turning point at (3,10). What is the value of its other zero?
Click here to see answer by stanbon(75887)

Question 973107: The product of two consecutive integers is 24 more than six times the smaller integer. Which of the following equations could be solved to find the smaller integer, n?
Click here to see answer by josgarithmetic(39618)

Question 973118: find the inverse of the following function: 4x^2+4x+1, x<-1. Verify answer by composing the inverse with the original function.
I switched x and y and got this: (-1+ or - sqrtx) / 2 . I don't know whether it is + or - ? When I plug it back into the original with the negative it doesn't work out. When I plug it in with the positive it works, but it doesn't agree with the domain. thanks for your help

Click here to see answer by josgarithmetic(39618)

Question 973117: find the inverse of the following function: 4x^2+4x+1, x<-1. Verify answer by composing the inverse with the original function.
I switched x and y and got this: (-1+ or - sqrtx) / 2 . I don't know whether it is + or - ? When I plug it back into the original with the negative it doesn't work out. When I plug it in with the positive it works, but it doesn't agree with the domain. thanks for your help

Click here to see answer by josgarithmetic(39618)

Question 973242: f(x)=5x^2+5
Find the expression g(x)

Click here to see answer by Alan3354(69443)

Question 973299: A certain polynomial function f(x) of degree 2 has zeroes at -3 and 5, and f(2)= -30. What is the polynomial function f(x)?
Click here to see answer by macston(5194)

Question 973291: In 2000, the United States Postal Service charged $0.45 to mail a letter weighing up to 3 oz. and $0.30 each additional ounce. Write a function, in dollars, c(x), of mailing a letter weighing x ounces where x is an integer greater than 3.
Click here to see answer by macston(5194)

Question 973409: I'm trying to solve this by using a sign chart, then putting my answer in interval notation. I got down to X=10 and X=2 but I'm not sure how to get the answer from the sign chart.
X^2-12X+20=0
Thanks
Click here to see answer by Alan3354(69443)

Question 973435: write the simplest polynomial equation that has roots 1+ 2i and 4

Click here to see answer by Boreal(15235)

Question 973435: write the simplest polynomial equation that has roots 1+ 2i and 4

Click here to see answer by Alan3354(69443)

Question 973600: Please help!!!!! What is the domain of the function y= log(tan x)?
Click here to see answer by stanbon(75887)

Question 973775: Given that f(x)=8x^3+4x-3, find the remainder, if it exists, when
1/[f(x)] is divided by x+1.
Please give ur reason to ur answer.
Click here to see answer by josgarithmetic(39618)

Question 973879: F(x)=-6/x-3-1......for which values of x is f(x) undefined?
Click here to see answer by Alan3354(69443)

Question 974003: Please help me with the following problems below trying to help my daughter don't want to show her the wrong way of how to solve these problems. HELP!!!

1. 3(4x)+ 4 if x=5
2. 10(xy) if x=5 and y=6
3. 6(3t + 4s) if t=4 and s=3
Click here to see answer by Alan3354(69443)

Question 974056: f(x)=(x-4)^1/2+(8-x)^1/2
Click here to see answer by Alan3354(69443)

Question 974184: Hello tutor, can you please help me to answer this question?
What is the polar representation of z = 6i
Click here to see answer by josmiceli(19441)

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