Tutors Answer Your Questions about Functions (FREE)
Question 1078668: Let f be the function defined by
f = {(−3, 8), (−2, 9), (−1, 2), (0, 9), (1, 4), (2, 3), (3, −3)}
and let g be the function defined
g = {(−3, −1), (−2, 1), (−1, −9), (0, 2), (1, −3), (2, 8), (3, 2)}.
Find the following value if it exists.
(f ○ g)(3)
Click here to see answer by Edwin McCravy(20055)  |
Question 1078736: Consider two functions: g(x)=20(1.5)x and the function f(x) shown in the table.
Which statements are true?
Select each correct answer.
f(x) and g(x) are both increasing on the interval (−∞, ∞) .
f(x) increases at a faster rate than g(x) does on the interval (−5, −3) .
g(x) has a greater y-intercept than f(x) does.
f(1) is less than g(−1) .
x f(x)
−5 −45
−4 −48
−3 −49
−2 −48
−1 −45
0 −40
1 −33
Click here to see answer by Boreal(15235)  |
Question 1078803: The function f(x)=a√(x-h) +k has a maximal domain of [2, ∞) and range of (- ∞,3]. its graph passes through the point (6,-3). Find the equation of this function in the form f(x)=a√(x-h) +k.
√ symbol mean square root.
the answers-3√(x-2) +3.
can you explain to me how to get the answers?
Click here to see answer by MathLover1(20849)  |
Question 1078803: The function f(x)=a√(x-h) +k has a maximal domain of [2, ∞) and range of (- ∞,3]. its graph passes through the point (6,-3). Find the equation of this function in the form f(x)=a√(x-h) +k.
√ symbol mean square root.
the answers-3√(x-2) +3.
can you explain to me how to get the answers?
Click here to see answer by yongweizhen(1) |
Question 1080002: In a physics experiment, it is found that the equation V(t) = 1667t – 5940t2
expresses the velocity of an object as a function of time(t). Computer V(0.1), V(0.15), and V(0.2).
I'm not sure if I am doing this right, but this is what I got.
V(t) = 1667(.1) – 5940(.1)^2=107.3
V(t) = 1667(.15) – 5940(.15)^2=116.4
V(t) = 1667(.2) – 5940(.2)^2=95.8
Click here to see answer by Alan3354(69443)  |
Question 1079904: Graph each function; identify the domain and range; and compare the graph with the graph of y = 1/x.
1. y = 1 / -x - 2. Domain: Range: Compare:
This is a fraction problem. I just need help on the fraction problem. I'll figure out the graph part.
Click here to see answer by rapture(86)  |
Question 1080335: I was hoping someone could check my work on this function, and help explain why it is, or isn't a viable answer. Thank you.
f(x)=
-6+x
______
7+3x
Find f(y+2).
f(y+2)=???
I thought the answer might be something like...
f(y+2)=
y-4
______
3y+13
Click here to see answer by Edwin McCravy(20055)  |
Question 1080412: Let a,b,c,d,e,f,g,h be the distinct elements in the set {-7,-5,-3,-2,2,4,6,13}.Find the value of (a+b+c+d)^2+(e+f+g+h)^2.
Click here to see answer by Edwin McCravy(20055)  |
Question 1080412: Let a,b,c,d,e,f,g,h be the distinct elements in the set {-7,-5,-3,-2,2,4,6,13}.Find the value of (a+b+c+d)^2+(e+f+g+h)^2.
Click here to see answer by MathLover1(20849)  |
Question 1080651: To print posters for school, the school had initially brought a printing machine (purchased for $300), and they estimated that it will cost them an additional $0.15 to print each poster.
a) Write a linear function C(x) to represent the total cost producing x posters. Include start-up costs.
I think an equation would be C(x) = 300+0.15x
b) Write a rational function A(x) to represent the average cost per poster when x posters are produced.
How would you write a rational function for this?
c) What is the domain of A(x) in the context of this question? Assume that they will not purchase the printing machine without producing any posters.
d) State the horizontal asymptote of A(x) and what does it represent in this question.
Click here to see answer by jim_thompson5910(35256) |
Question 1080956: The function f(x) is the height of an object x seconds after it is thrown in the air. The object reaches its maximum height in 2 s, and hits the ground at 5 s.
What is the practical domain for the function f(x)?
all real numbers
whole numbers in [0, 5]
[0, 5)
[0, 5]
Click here to see answer by Boreal(15235)  |
Question 1081547: (a) A rectangular plot is to be enclosed by fencing wire. Assume that 56 𝑚 of fencing
wire are available.
(i) Show that the area of the plot, in 𝑚^2
, is given by the expression
𝐴 = −𝑥^2 + 28𝑥,
where 𝑥 is the length of the plot.
If someone could explain how I am to work these out that would be great i've been stuck on this for hours and can't find anything
Click here to see answer by Alan3354(69443)  |
Question 1081529: Kirby moves with constant speed 5 units per hour along the line crossing
the y-axis at midnight and the x-axis later. When is the x-axis crossing made? What does it
mean to say that Kirby’s position is a function of time? What is Kirby’s position 1.5 hours
after midnight? What is Kirby’s position t hours after midnight?
Click here to see answer by Theo(13342)  |
Question 1081529: Kirby moves with constant speed 5 units per hour along the line crossing
the y-axis at midnight and the x-axis later. When is the x-axis crossing made? What does it
mean to say that Kirby’s position is a function of time? What is Kirby’s position 1.5 hours
after midnight? What is Kirby’s position t hours after midnight?
Click here to see answer by Alan3354(69443)  |
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