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

Tutors Answer Your Questions about Functions (FREE)

Question 630709: given: f(x)=3x+5 and g(x)=4x-2
question: answer f(g(x))
Click here to see answer by nerdybill(6948)

Question 630818: Given f(x)=x^2
Find (f(x-4)-f(4))/x , x =/ 0
Click here to see answer by stanbon(57224)

Question 630997: can u help me..
composite function..
f(x)=x^2 - 1
g(x)= 1/sqrt x + 1
fog(x)
Click here to see answer by stanbon(57224)

Question 631065: What's a function?
Click here to see answer by 55305(76)

Question 631069: f(x)=-3x-6 and g(x)=5x+2
find f(x)+g(x)
Click here to see answer by ewatrrr(10682)

Question 631105: f(x) = 5x - 6 and g(x) = x2 - 5x + 6, find the function (f + g)(x)
Click here to see answer by Tatiana_Stebko(1326)

Question 631194: What is the domain of X^4 - 1
Click here to see answer by jim_thompson5910(28476)

Question 631264: Please help me to find the following functions. Let f(x)=x=4 and g(x) =x^2+8x-3
a. (f+g)(x) B.(f-g)(x) c. (fg)(x) d. f o g Thanks
Click here to see answer by solver91311(16868)

Question 631551: Please help me with this inverse function.
Show that f(x)= -2x + 19 has the inverse of f^-1(x)= x-19/-2 by finding
f^-1(f(x))

Click here to see answer by stanbon(57224)

Question 631649: f(x)=2x^2-16x-7
I found the vertex which is (4, -39)
I am looking to find the domain of "f" I'm not understanding how this is obtained.
Click here to see answer by jim_thompson5910(28476)

Question 631792: Okay, so I need help on making an input-output table. I have to use 0,1,2 and 3 as the domain. My first problem is y=3x+2.
Click here to see answer by ewatrrr(10682)

Question 631903: The cost and revenue functions for selling a specialty item are:
R(x) = 50x – 0.5 x2
C(x) = 4x + 10x2

a) Write the equation of the profit function P(x).
b) Sketch the three functions C(x), R(x) and P(x) on the same set of axis.
c) Determine the number of specialty items which produce a maximum profit.
d) Find the maximum profit.
e) Indicate on the profit curve the interval over which profit is decreasing.

Click here to see answer by solver91311(16868)

Question 631950: A toy rocket is launched upward from ground level with an initial velocity of 39 meters per second. Its height is a function of time, given by h = -4.9t^2+39t, where h represents the height in meters and t represents the time in seconds. What is the maximum height reached by the rocket and how long is it in flight?
Click here to see answer by lwsshak3(6463)

Question 631933: Please help me solve this function: Determine rather the function is even,od,or neither: f(x)= x^5 - x
Click here to see answer by lwsshak3(6463)

Question 632025: Hi, I need to find the derivatives for the following functions:
1. f(x)=4x^5+3x^4- 8x^2+x+3
2. g(t)=t^2/5+5/t^3
3. f(x)=1.5x^2+ 2x^1.5
4. g(x)=2√x+3/√x
Click here to see answer by nerdybill(6948)

Question 632062: Thank you to anyone who can help.
Give the Domain of the linear equation:
y=2/x+3

Click here to see answer by ewatrrr(10682)

Question 632029: Apply the chain rule to find the derivatives of the following functions:
a. g(x)=√(x^2+1)
b. f(x)=1/((4x^2-7^2))
Click here to see answer by ewatrrr(10682)

Question 632082: Need an example of at least four ordered pairs that does not model a function. The domain will be any four integers between 0 and +10. The range will be four integers between -12 and +5. I need to explain why my example does not model a function.
Click here to see answer by KMST(1868)

Question 631972: In exercise 16, find f(x) and g(x) so that the function can be described as y=f(g(x)).
16. y=(x^3+1)^2
Click here to see answer by Tatiana_Stebko(1326)

Question 632077: I need an example of a function using a set of at least 4 ordered pairs.
Click here to see answer by solver91311(16868)

Question 632063: Give the domain of the linear equation:
y=x+2/x
Click here to see answer by solver91311(16868)

Question 632317: ordered pairs f(a)=r, f(b)=p, f(c)=q, f(d)=r
Give domain and range of f
Click here to see answer by reviewermath(500)

Question 632367: f(x) = x-8/x-7 find the domain of the rational function

Click here to see answer by ewatrrr(10682)

Question 632367: f(x) = x-8/x-7 find the domain of the rational function

Click here to see answer by rapaljer(4667)

Question 632462: Determine the intervals on which the function is decreasing constant
on what interval is the function decreasing ? link to question: http://oi47.tinypic.com/v7v9zm.jpg
i need to know the other 2 steps on what interval is the function decreasing and on what interveral is the function constant image link to question here 2nd part http://oi48.tinypic.com/s6ucjl.jpg
Click here to see answer by Alan3354(30968)

Question 632890: determine whether the equation defines y as a function of x. 8x^2 + 3y^2 = 1
Click here to see answer by stanbon(57224)

Question 633029: determine whether f(x)represents a polynomial function. If possible, Identify the degree and type of polynomial function.
f(x)= 2-8x
Click here to see answer by solver91311(16868)

Question 633198: What is the domain of the function?
8/2x-16=y
Click here to see answer by flame8855(424)

Question 633324: How do you find the domain and range from
Y=2x+1
Click here to see answer by radh(108)

Question 633336: for each piecewise function, find the specified function values
f(x)= 3 for x <= -2
(1/2)x + 6 for x > -2
f(-5),f(-2),f(0), f(2)
<= means less than or equal to. i wasnt sure how to do the sign
for the second equation i (think) that i make for example -5 for x. not sure on first one
thanks
Click here to see answer by KMST(1868)

Question 633374: state the domain of the rational function:
f(x)= x^2+3x-10/x^2-2x-8
Click here to see answer by jsmallt9(3296)

Question 633686: Given the function f(x)=4x^2-8x+14, calculate f(-4).
Click here to see answer by Maths68(1474)

Question 633656: What are the possible values of x if the distance between the points (x, 3) and (–7, –1) is square root 137?
Which answer is it?
a. {–18, 4}
b. {18, –4}
c. {–9, 11}
d. {9, –4}
Click here to see answer by richwmiller(9135)

Question 633699: if g(x)=2xsquared-36
solve this equation
g(x)=0
x=
x=
Click here to see answer by ewatrrr(10682)

Question 633667: Determine (f g)(x) and (g f )(x) for the pair of functions. Also specify the domain for (f g)(x) and (g f )(x).
f(x)= 1/x
g(x)= 1/(x-4)
Click here to see answer by math-vortex(472)

Question 633755: Determine whether the relation is a function.
{(-5, -4), (-2, 9), (-1, -2), (-1, 7)}
Determine whether the relation is a function.
{(-7, -1), (-7, 2), (-1, 8), (3, 3), (10, -7)}
Determine whether the relation is a function.
{(1, -3), (1, 1), (6, -8), (9, -3), (11, -3)}
Determine whether the relation is a function.
{(-6, -9), (-2, 1), (1, -1), (7, -7)}

Click here to see answer by Edwin McCravy(8880)

Question 633819: what is the range of the function f(x)=2/3x+5 when the domain is (-3,2,6)
Click here to see answer by ewatrrr(10682)

Question 633819: what is the range of the function f(x)=2/3x+5 when the domain is (-3,2,6)
Click here to see answer by solver91311(16868)

Question 633897: Find the slope of the line that goes through the given points.
(3, -5), (-9, -8)
Find the slope of the line that goes through the given points.
(-7, 6), (-7, -9)
Find the slope of the line that goes through the given points.
(-1, 4), (5, 4)
Find the slope of the line that goes through the given points.
(-2, -6), (-9, -17)
Find the slope of the line that goes through the given points.
(-8, 8), (-5, 2)

Click here to see answer by Alan3354(30968)

Question 633899: Find the slope of the line that goes through the given points.
(-3, -7), (9, -7)
Use the given conditions to write an equation for the line in point-slope form.
Slope = 4, passing through (-3, 7)
Use the given conditions to write an equation for the line in point-slope form.
Slope = 6/7, passing through (8, 7)

Click here to see answer by Alan3354(30968)

Question 633907: Solve the following exponential equation. Exact answers only.
π^1-8x = e^3x
Please show work. I'd really like to understand how it's done.

Click here to see answer by jim_thompson5910(28476)

Question 633906: Find the inverse of the following function. Find the domain, range, and asymptotes of each function.
f(x) = ln (x+1) +1

Click here to see answer by lynnlo(4155)

Question 633882: The domain of the function f is {x: -1 < x < 5}. If g(x) = 2f(-x), what is the domain of the function g?

i know that the answer is (-5 < x < 1) but I am curious about the steps necessary to get that answer
Click here to see answer by KMST(1868)

Question 633931: Give the domain for g(x) = √(x-4)^2-1. Explain/show your reasoning.
(The whole (x-4)^2-1 part is "under" the squareroot symbol)
Click here to see answer by lwsshak3(6463)

Question 633965: Find the domain of the function:
f(x) = 5-3x/2x^2-14x+20
Click here to see answer by lwsshak3(6463)

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