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

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Question 1087149: Consider the function f(x)= |x-1|+|x-2|
Show that f(x)= -2x+3, if x ≤ 1
1 if 1 < x < 2
2x-3 if x ≥ 2
Click here to see answer by jim_thompson5910(35256)

Question 1087371: For the function f(x) = -1/3x - 1, find the value of x for which f(x) = x.
Click here to see answer by jim_thompson5910(35256)

Question 1087475: write a rule for the following functions.
x -1 0 1 2
y 1/24 1/6 2/3 22/3
Click here to see answer by Alan3354(69443)

Question 1087477: write a rule for the following functions
x -1 0 1 2
y 1/24 1/6 2/3 2 2/3 <------- this is 2 and 2/3 as one number
Click here to see answer by Alan3354(69443)

Question 1087563: Find the point of intersection of the pair of straight lines.
y= −10x-5
−y =11x+ 9

Click here to see answer by josmiceli(19441)

Question 1087541: A card board box manufacturer wishes to make open boxes from square pieces of cardboard of side 12 inches by cutting equal squares from the four corners and turning up the sides.
a.Let x inches be the length of the side of the square to be cut out:
Express the number of cubic inches in the volume of the box as the function of x
b. What is the domain of the resulting function?
Click here to see answer by josgarithmetic(39613)

Question 1087700: If 2 points on a line have coordinates (0,A) and( 2, -3) and the slope of the line is A, then what is the value of A?
note: (0,A) is the y intercept.
Thanks so much. This was an SAT practice problem.
Click here to see answer by josgarithmetic(39613)

Question 1087693: If f(x)=1-x^2 and g(x)=x^2-1, then for which of the following values of b does f(3b)+8=g(3b)-8?
Click here to see answer by ikleyn(52747)

Question 1087696: If f(x)=x^2-4/3 and f(a)=7 and f(11)=b, then a+b could be a multiple of which of the following prime numbers?
A.) 3
B.)5
C.) 7
D.) 11
thanks so much!!
Click here to see answer by ikleyn(52747)

Question 1087871: Write the volume V as a function of the length its side s
Click here to see answer by ikleyn(52747)

Question 1088008: Given f(x) = x^ - 3 and g(x) = 2x+1
Click here to see answer by Alan3354(69443)

Question 1088224: Simplify write answer using positive exponents only
(4x^6y^3)(7x^8y^14)
Click here to see answer by Fombitz(32388)

Question 1088221: A line passes through the point (-4,-1) and has a slope of 5/2
Click here to see answer by Fombitz(32388)

Question 1088281: I need some help!
find the derivative of: p= I know that the answer should be sec^2 x I just don't know how to find it.
Click here to see answer by jim_thompson5910(35256)

Question 1088246: A point is moving on the graph of 4x^2 +9y^2 =180. When the point is at (3,4), its y-coordinate is decreasing by 2 units per second. How fast is its x-coordinate changing at that moment?
Click here to see answer by Fombitz(32388)

Question 1088243: An experiment was set up to find a relationship between weight and systolic blood pressure in children. Using hospital records for 5,000 children, the experimenters found that the systolic blood pressure was given approximately by
P(x)=17.5 (1+lnx); 10 < x < 100
where P(x) is measured in millimeters of mercury and x is measured in pounds.
(a) what is the rate of change of blood pressure with respect to weight at the of 40-pound weight level?
(b) Find the weight at which the rate of change of blood pressure with respect to weight is 0.3 millimeter of mercury per pound.
Click here to see answer by htmentor(1343)

Question 1088329: Find the quotient of x^2-4 divided by 4x and x+2 divided by 20x^4
Click here to see answer by Alan3354(69443)

Question 1088339: A drug is administered to a patient and the concentration of the drug in the bloodstream is monitored. At time t ≥ 0 (in hours since giving the drug), the concentration (in mg/L) is given by
c(t)= 5t / t^2 +1
a) Graph the function c(t).
b) What is the highest concentration of the drug that is reached in the patient�s bloodstream?
c) What happens to the drug concentration after a long period of time?
d) How long does it take for the concentration to drop below 0.3 mg/L?
Click here to see answer by jim_thompson5910(35256)

Question 1088424: Find the domain of the function.
Function is in the link: http://prntscr.com/fyqyt2
Click here to see answer by MathLover1(20849)

Question 1088423: Find the domain of the function.
Domain in the link: http://prntscr.com/fyqy26
Click here to see answer by jim_thompson5910(35256)

Question 1088422: Find the domain of the function.
Function is in the link: http://prntscr.com/fyqw05
Click here to see answer by ikleyn(52747)

Question 1088536: Describe what is happening in the following function with a parent gragh function f (x) =x^2
j(x) = (-(x+8))^2
Click here to see answer by rothauserc(4718)

Question 1088245: Find x� for the function x(t) defined implicitly below. Compute the equation of the tangent line at the indicated point.
t ln x = xe^t-1 ; (t,x) = (0,1)
Click here to see answer by Edwin McCravy(20054)

Question 1088794: what is the domain of the composite function f* g if f(x) = 28/x and g(x) = -8/(x - 7).
Click here to see answer by MathLover1(20849)

Question 1088894: Suppose that the functions p and q are as follows
p(x)=x^2+6
q(x)=sqrt x+1
Find the following
(p*q)(3)
(q*p)(3)
Click here to see answer by natolino_2017(77)

Question 1089023: find the following:
(each number from #s. 1 to 5)
a. f(1.5)
b. f(-1)
c. f(o)
d. f (1/2)
e. f (2x)
Click here to see answer by ikleyn(52747)

Question 1089026: find:
(p+h) (x)

Click here to see answer by ikleyn(52747)

Question 1089025: find:
(f+h) (x)

Click here to see answer by ikleyn(52747)

Question 1089013: f(x) = -13x^2 - 13x + 14 and g(x) = -13x - 11
find g(g(3))
AND
f(x) = 15x + 12 and g(x) = -10x^2 + 15
find f(g(-2))
I can't figure these out for the life of me :(( please help
Click here to see answer by MathLover1(20849)

Question 1089046: This is Colby Spence which email is Colbyspence@ymail.com. I having a hard time figuring out the problem ; the optimal operating temperature of a given car engine is 10 degress F of 230 degress F. Write an absolute valuer inerquality for the range of acceptable tempoeratures and solve inequality
Click here to see answer by KMST(5328)

Question 1089066: Find the largest value of c such that -2 is in the range of f(x)=x^2+3x+c.
Click here to see answer by htmentor(1343)

Question 1089066: Find the largest value of c such that -2 is in the range of f(x)=x^2+3x+c.
Click here to see answer by Fombitz(32388)

Question 1089124: What is the interval where f(x)=lnx/x (x>0) decreases?
Click here to see answer by Theo(13342)

Question 1089124: What is the interval where f(x)=lnx/x (x>0) decreases?
Click here to see answer by rothauserc(4718)

Question 1089188: If g(x) = 4|x-3|+2. Find g(1)

Click here to see answer by josgarithmetic(39613)

Question 1089188: If g(x) = 4|x-3|+2. Find g(1)

Click here to see answer by ikleyn(52747)

Question 1089765: Let p(x) = 2x^3 - 113 and let q be the inverse of p. Find q(137). Please be sure to clearly explain your steps and support your arguments. This week we are particularly interested in your mathematical reasoning and rigor.
Click here to see answer by ikleyn(52747)

Question 1089842: Let f(x) = x^2 - 2x. Find all real numbers x such that f(x) = f(f(x)).
Click here to see answer by jim_thompson5910(35256)

Question 1089843: The function f(x,y) accepts an ordered pair as input and gives another ordered pair as output. It is defined according to the following rules: If x > 4, f(x,y) = (x - 4,y). If x <= 4 but y > 4, f(x,y) = (x,y - 4). Otherwise, f(x,y) = (x + 5, y + 6). A robot starts by moving to the point (1,1). Every time it arrives at a point (x,y), it applies f to that point and then moves to f(x,y). If the robot runs forever, how many different points will it visit?
Click here to see answer by jim_thompson5910(35256)

Question 1089844: Let f(x) = px + q, where p and q are real numbers. Find $p+q$ if $(f(f(x))) = 8x + 21.
Click here to see answer by MathLover1(20849)

Question 1089844: Let f(x) = px + q, where p and q are real numbers. Find $p+q$ if $(f(f(x))) = 8x + 21.
Click here to see answer by MathTherapy(10549)

Question 1089951: Let p(x) = 2x^3 - 113 and let q be the inverse of p. Find q(137).
Please be sure to clearly explain your steps and support your arguments. This week we are particularly interested in your mathematical reasoning and rigor.
Click here to see answer by ikleyn(52747)

Question 1089900: Use p over q method and synthetic division to factor the polynomial P(x). Then solve P(x)=0.
P(x)=x^3+4x^3+x-6
Click here to see answer by ikleyn(52747)

Question 1089954: Prove that the product of two odd functions is an even function.
Click here to see answer by math_helper(2461)

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