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

Tutors Answer Your Questions about Functions (FREE)

Question 994911: What is a 1-1 function?
Click here to see answer by stanbon(75887)

Question 994932: Represent the change in the output of q when the input starts at 2 and increases by h units
Click here to see answer by stanbon(75887)

Question 994995: Domain of f(x)= x^2/x^2+12
Click here to see answer by Boreal(15235)

Question 995021: what number is not part of the domain of f(x)=fraction 3/x+5
Click here to see answer by Boreal(15235)

Question 995109: What is the Domain for H(t)=2t/2t+7?
Click here to see answer by solver91311(24713)

Question 995148: what is the rule for the mapping
{0, 1}, {1, 2}, {2, 5}, {3, 10}, {4, 17}.
Click here to see answer by fractalier(6550)

Question 995244: state domain
find composite functions
g(x)=3x
f(x)= 6x+9
(a)gog(x)=
(b)fof(x)=
(c)fog(x)=
(d) gof(x)=

I appreciate you assistance
Click here to see answer by ikleyn(52754)

Question 995244: state domain
find composite functions
g(x)=3x
f(x)= 6x+9
(a)gog(x)=
(b)fof(x)=
(c)fog(x)=
(d) gof(x)=

I appreciate you assistance
Click here to see answer by stanbon(75887)

Question 995259: The function f gives the height of a ball ,h, above the ground (measured in feet) in terms of the number of seconds elapsed since the ball was thrown upward from a bridge that is some distance above the ground, t. Let h=f(t) and f(t)=−16t^2+29t+285 .

After how many seconds does the ball reach its maximum height above the ground?
Thanks in advance!

Click here to see answer by Alan3354(69443)

Question 995258: Let 4s^2+5=(1/5)b and b=14s+3m . Define a function p that determines m in terms of s .
thanks!!
Click here to see answer by solver91311(24713)

Question 995437: The graph of a linear relationship, that defines y in terms of x, passes through the points (8,2) and (5,−5.23) .
From the point (8,2) x must change -8 to reach a value of x=0.

What is the corresponding change in the value of y for the change in x?
Thank you in advance!
Click here to see answer by Boreal(15235)

Question 995467: The height of a right triangle is 8 feet more than twice the length of its base. Express the area of the triangle as a function of the length of its base, x, in feet.
Click here to see answer by Boreal(15235)

Question 995438: Suppose function k gives the volume of water in a pool (in liters) in terms of the number of minutes, t , that have elapsed since you started filling that pool.

Use function notation to represent the volume of water in the pool 22 minutes after you started filling it up.
Thank you:)
Click here to see answer by jim_thompson5910(35256)

Question 995504: Change the function below into standard form (y = a cos[b(x-h)]+k) then give the vertical shift.
y = (cos[2x-π])/3
is this right:
y = 1/3 cos[2(x-π/2)]+1/3
vertical shift: 1/3 up
Click here to see answer by stanbon(75887)

Question 995578: Recall that the area of a circle, A, (in square inches) is determined by the formula A=πr2 where r is the radius of the circle (in inches). The circumference of a circle, C, is determined by the formula C=2πr .

Define a function g that gives the area of a circle, A , in terms of the circumference of the circle. Simplify your answer as much as possible.
Thank you!
Click here to see answer by vleith(2983)

Question 995674: Good Day! I would like to ask what is the inverse of the function , if it exists.
Click here to see answer by josgarithmetic(39613)

Question 995674: Good Day! I would like to ask what is the inverse of the function , if it exists.
Click here to see answer by MathLover1(20849)

Question 995707: Find all points (4,y) that are 10 units from the point (-2, -1).
Click here to see answer by stanbon(75887)

Question 995751: f(x)=5x+4/x+6 and g(x)=6x-4/5-x
(a) find f(g(x))
(b) find g(f(x))
(c) determine whether functions f and g are inverses of each other.
Click here to see answer by solver91311(24713)

Question 995762: Find the values of x for which f(x) = g(x). Thank you!
f(x) = x2, g(x) = x + 20
Click here to see answer by stanbon(75887)

Question 995761: Find all real values of x such that f(x) = 0 , please! Thank you :)

f(x) = x3 − x
Click here to see answer by stanbon(75887)

Question 995763: Find the values of x for which f(x) = g(x). Thanks!!
f(x) = x^4 − 2x^2, g(x) = 2x^2
Click here to see answer by stanbon(75887)

Question 995903: f(w)=-w^2+400w

Above is a function f that expresses the area of the field (measured in square feet) as a function of the width of the side of the field w (measured in feet).

Use your graphing calculator to graph the function above. Based on your graph, what is the maximum area of the enclosed field?
Thank you.

Click here to see answer by rothauserc(4718)

Question 995913: Find the domain of f(x)=x^2-9/x+2
Click here to see answer by stanbon(75887)

Question 995925: Find all points (4,y) that are 10 units from the point (-2,-1)
Click here to see answer by josgarithmetic(39613)

Question 996005: What is the domain of F(x) = 1/(square root) (5+x)
Click here to see answer by ikleyn(52754)

Question 996063: Suppose f(x) = (x+4)/(x^2-4x-5) and g(x)= (3-x)^1/2 (square root of 3-x)
Algebraically determine the domain of f(x)/g(x)
I tried it out myself and got like x cant equal 3,5 and -1 but am not sure how to put this into interval notation etc.
Click here to see answer by jim_thompson5910(35256)

Question 996205: Help me please , dont have to show work but thanks.
Given f(x)=3x-6 and g(x)=5x, find g(f(x)).
A. 15x-6? Or B. 15x-30?
Thank You.
Click here to see answer by Alan3354(69443)

Question 996210: Given f(x)=3x^2+x-1 and g(x)=4x+5, find (gf)(x).
A. 3x^2+5x+4
B. 12x^3+4x^2-4x
C. 12x^3+19x^2+x-5
D. 12x^3+19x^2+9x-5
Thank you
Click here to see answer by MathLover1(20849)

Question 996208: Can someone help ?
Given f(x)=5x-3 and g(x)=x^2, find g(f(2)).
A. 7? B. 17? C. 32? D. 49?
Thank you :)
Click here to see answer by Boreal(15235)

Question 996213: Given f(x)=x/3-x and g(x)=3x/1+x, find g(f(4)).
A. -4? B. -1? C. 1? D. 4?
Thank you :)
Click here to see answer by LinnW(1048)

Question 996246: Help me please
Given f(x)=7x-2, g(x)=x^3, and h(x)=x^2-x, find f(g(h(2))).
A. 8
B. 54
C. 56
D. 132 .
thank you
Click here to see answer by Alan3354(69443)

Question 996352: F(x)=x-12/x^3+4x
Click here to see answer by stanbon(75887)

Question 996339: Help Please Thanks.
Given f(x)=x^2/2, g(x)=2/x, and h(x)=4x-3, find h(f(g(x))).
A. 2/x^2
B. 16-48x+9x^2
C. 8-3x^2/x^2
D. 16-4x^2/x^4
Click here to see answer by MathLover1(20849)

Question 996381: If , find f(f(f(1))).

Click here to see answer by ikleyn(52754)

Question 996341: Given the following functions, find the requested value:
f(x)=9x+14
g(x)=x+2

solve: (f/g)(3)=
Click here to see answer by ikleyn(52754)

Question 996341: Given the following functions, find the requested value:
f(x)=9x+14
g(x)=x+2

solve: (f/g)(3)=
Click here to see answer by MathTherapy(10549)

Question 996343: Let f(x)=2x+2 and g(x)=2x^2+4x.
After simplifying, (f+g)(x)=
solve: (f+g)(x)=
Click here to see answer by Theo(13342)

Question 996400: Find the inverse function:

Click here to see answer by Theo(13342)

Question 996420: What is the log 0 value?
Is that value is indetermined or undefined
what is the difference between undefined and indetermined
Click here to see answer by farohw(175)

Question 996540: The local school district has studied trends in population growth and has provided the following predictions for enrollment in two of their high schools. Current enrollment at Park Valley High School is 1750 students and the enrollment is expected to increase by 55 students per year. The current enrollment at Tisdale High School is 1630 students and the enrollment is expected to increase by 10% per year.

Let f be a function that gives the number of students enrolled at Park Valley High School, P , in terms of the number of years, n , since the prediction was made. What is the rule for this function?

Click here to see answer by Boreal(15235)

Question 996539: Joni is considering job offers from two companies. Company A offered her a starting salary of $53,080 with a 5.2 % raise at the end of each year. Company B offered her a starting salary of $64,400 with a raise of $2500 at the end of each year.
Define a function, g, that expresses Joni's varying salary at Company B in terms of the varying number of years, n, since she accepted the position.
Click here to see answer by Boreal(15235)

Question 996562: Consider the function f(x) = . Find the domain of f, and answer using interval notation
Click here to see answer by ikleyn(52754)

Question 996613: Given f(X)=7x-2, g(x)=x^3, and h(x)=x^2-x, find f(g(h(2))).
A. 8
B. 54
C. 56
D. 132
thank you
Click here to see answer by jim_thompson5910(35256)

Question 996627: Given f(x)=4x+3 and g(x)=1/4-x.
find g(f(x)).
A. 1/1-4x
B. -3x+16/4x
C. 4x+3/4-x
D. -4x^2+13x+13/4-x
thank you
Click here to see answer by stanbon(75887)

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