Problem 1
f(x) = x + 1/x
f(1) = 1 + 1/1
f(1) = 1 + 1
f(1) = 2
Answer: 2
============================================
Problem 2
(f o f)(1) = f( f(1) )
(f o f)(1) = f( 2 )
(f o f)(1) = 2 + 1/2
(f o f)(1) = 4/2 + 1/2
(f o f)(1) = 5/2
Answer: 5/2
============================================
Problem 3
(f o f o f)(1) = f( f(f(1)) )
(f o f o f)(1) = f( (f o f)(1) )
(f o f o f)(1) = f( 5/2 )
(f o f o f)(1) = 5/2 + 1/(5/2)
(f o f o f)(1) = 5/2 + 2/5
(f o f o f)(1) = 25/10 + 4/10
(f o f o f)(1) = 29/10
Answer: 29/10
============================================
Problem 4
(f o f o f o f)(1) = f( f(f(f(1)) )
(f o f o f o f)(1) = f( (f o f o f)(1) )
(f o f o f o f)(1) = f( 29/10 )
(f o f o f o f)(1) = 29/10 + 1/(29/10)
(f o f o f o f)(1) = 29/10 + 10/29
(f o f o f o f)(1) = 841/290 + 100/290
(f o f o f o f)(1) = 941/290
Answer: 941/290
============================================
Problem 5
(f o f o f o f o f)(1) = f( f(f(f(f(1)))) )
(f o f o f o f o f)(1) = f( (f o f o f o f)(1) )
(f o f o f o f o f)(1) = f( 941/290 )
(f o f o f o f o f)(1) = 941/290 + 1/(941/290)
(f o f o f o f o f)(1) = 941/290 + 290/941
(f o f o f o f o f)(1) = 885481/272890 + 84100/272890
(f o f o f o f o f)(1) = 969581/272890
Answer: 969581/272890
A function assigns the values. The value of (f•f•f•f•f)(1) is 969581/272890.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
1.)
The value of f(1) for the given function f(x) =x+1/x can be calculated as shown below,
f(x) = x + 1/x
f(1) = 1 + 1/1
= 1 + 1
= 2
2.)
(f · f)(1) = f( f(1) )
Since the value of f(1)=2, therefore, it can be rewritten as,
(f · f)(1) = f(2)
= 2 + 1/2
= 4/2 + 1/2
= 5/2
3.)
(f · f · f)(1) = f( f(f(1)) )
Since the value of f(f(1))=5/2, therefore, it can be rewritten as,
(f · f · f)(1) = f( (f·f)(1) )
= f( 5/2 )
= 5/2 + 1/(5/2)
= 5/2 + 2/5
= 25/10 + 4/10
= 29/10
4.)
(f · f · f · f)(1) = f( f(f(f(1)) )
Since the value of f(f(f(1)))=29/10, therefore, it can be rewritten as,
(f · f · f · f)(1) = f( (f·f·f)(1) )
= f( 29/10 )
= 29/10 + 1/(29/10)
= 29/10 + 10/29
= 841/290 + 100/290
= 941/290
5.)
(f · f · f · f · f)(1) = f( f(f(f(f(1)))) )
Since the value of f(f(f(1)))=29/10, therefore, it can be rewritten as,
(f o f o f o f o f)(1) = f( (f·f·f·f)(1) )
= f( 941/290 )
= 941/290 + 1/(941/290)
= 941/290 + 290/941
= 885481/272890 + 84100/272890
= 969581/272890
Hence, the value of (f•f•f•f•f)(1) is 969581/272890.
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can u pls help me with this question
Answer:
Step-by-step explanation:
45 chairs in 3 rows
1 row = 45 /3 = 15 chairs in each row
Answer:
15
Step-by-step explanation:
15 x 3 is 45.
In Tyra’s class the ratio of boys to girls is 15 to 8. If there are 16 girls in her class then how may boys are there?
Answer:
9?
Step-by-step explanation:
im just guessing tho sorry if im wrong
-19+-16
I know I can use my calculator I just need to know how to do this thanks.
Answer:
-35
Step-by-step explanation:
lol
explain why a+b=b+a
Solve 5(w-2)=-2(1.5w+5) plz and thank you
Step-by-step explanation:
5(w-2)=-2(1.5w+5)
5w-10=-3w-10
8w=0
w=O
Answer:
W=0
Step-by-step explanation:
5(w-2)=-2(1.5w+5)
5w-10= -3w-10
5w+3w=-10+10
8w=0
W=0
So the value of w is 0
please answer the question below
Let f be a function such that f(2) ≤ f(x) for all values of x in the interval (0, 3). Does f(2) represent a relative minimum or a relative maximum?
Answer: f(2) is a relative minimum
This is because f(2) is the lowest y output for any given y = f(x) output on the interval [tex]0 < x < 3[/tex] which is what the interval notation (0,3) indicates.
Draw out a "parabolic" like shape where the lowest point occurs at (2, f(2)), where f(2) is unknown, but we at least know that x = 2. I put "parabolic" in quotes because it may not be a true parabola, but it looks like one. This lowest point only applies for the neighbor hood [tex]0 < x < 3[/tex].
Before multiplying fractions change any mixed numbers to
[A] decimals
[B] estimated numbers
[C] percent
[D] improper fractions
9514 1404 393
Answer:
[D] improper fractions
Step-by-step explanation:
The usual recommendation for doing much of anything with mixed numbers is to change them to improper fractions.
__
However, that isn't always necessary. If you're doing the arithmetic with a calculator, it can be helpful to convert them to decimal numbers.* Sometimes, you can work with mixed numbers by working with the integer and fractional parts separately.
Sometimes a simple rewrite makes working with mixed numbers easier. (That is, converting part of the integer portion to a fraction may be useful in some cases.
Example:
(29 1/3) × (1/2) = (28 4/3) × (1/2) = 14 2/3
_____
* Some calculators will do arithmetic directly with mixed numbers and/or fractions. If yours doesn't, it can be helpful to memorize the decimal equivalents of a few common fractions: 1/3, 2/3, 1/6, 1/7, 1/9, 1/11 for example. This will help you convert the decimal result back to a mixed number.
Divide 3x2 − 11x − 4 by x − 4.
Answer:
3x+1
Step-by-step explanation:
Answer: 3x + 1
Step-by-step explanation:
Convert the numerator in factored form
Group terms that contain the same variable, and move the constant to the opposite side of the equation
Factor the leading coefficient
Complete the square. Remember to balance the equation by adding the same constants to each side.
Rewrite as perfect squares
Square root both sides
therefore you must
Substitute
Compound inequality
Answer:
1) Domain: -3<x<∞
Range: -4≤y<∞
2) Domain:-∞<x<∞
Range: -∞<y<∞
3) Domain: 1<x<3
Range: -1<y<∞
4) Domain: -3<x<4
Range: -1<y<4
5) Domain: -3≤x<2
Range: -6<y≤-3
6) Domain: -∞<x<∞
Range:0≤y<∞
Step-by-step explanation:
I'm too lazy to explain this sorry if you really want to know how lmk in comments and try to explain
Graph the line of the equation x−2y=6 using its slope and y-intercept.
Step-by-step explanation:
take x and subtract it over to the other side you should get Negative two y equals negative x + 6 then divide it all by -2 and you should get y equals 1/2 x - 3
The first person to solve this correctly gets 40 points and brainliest!!!
Answer:
0.36363.....
repeating
Step-by-step explanation:
given :
total songs downloaded = 44
total favorite band songs = 16
number of favorite songs out of total songs downloaded
= total favorite band songs ÷ total songs downloaded
= 16 ÷ 44
= 0.3636363636363636363... (answer for part A)
by observation, we can see that the decimals 36 repeats over and over again and never stops. Hence we can say that the decimal is repeating (Answer for part B)
A rectangular prism is completely packed with 180 cubes of edge length fraction 1 over 3 inch, without any gap or overlap. Which of the following describes the volume of this rectangular prism?
Answer:
180 x 1/3 = 60 rhe answer is 60
Answer: 60
Step-by-step explanation:
How do you do this question?
Answer:
y= 4x -5 x^-1
Step-by-step explanation:
xy'+y=8x
y' + y/x =8
linear DE
integrating factor = e^∫1/x dx = x
y = 1/x ( ∫8x dx +C)
y= 1/x (4x^2 +C)
y= 4x + C x^-1
C is any constant.. in this case -5 is satisfying equation
...................
Answer:
easey, sub them
(x,y)
see if true
(0,1), 2(0)+1>-4, 1>-4, true
(4,-12), 2(4)+-12>-4, 8-12>-4, -4>-4, false
(5,-12), 2(5)+-12>-4, 10-12<-4, -2>-4, true
(-1,-1), 2(-1)+-1>-4, -2-1>-4, -3>-4, true
(-3,0), 2(-3)+0>-4, -6>-4, false
answers are
(0,1)
(5,-12)
(-1,-1)
Hopefully that helped you a little bit :)
PLEASE HELP!! NEEDS TO BE DONE TODAY!!
What are the domain and the range of the graph?
Answer:
The answer is the 3rd answer.
Read the excerpt from "Healthy Eating." "Cherish the season," is her motto. If kids want something out of season, it's OK to buy frozen. Then steel yourself for some complaining and use the opportunity to convey a larger lesson. "It's important to teach children that you don't always get what you want," she said. Which statement best describes the author’s argument in this part of the article? Frozen foods are a necessary part of a balanced diet. Frozen foods can be a good substitute for fresh foods. Parents should do what they can to please picky eaters. Children often request foods that are unhealthy for them.
Answer:
its c
Step-by-step explanation:
Answer:
B (Frozen foods can be a good substitute for fresh foods.)
Step-by-step explanation:
because in the text: cherish the season," is her motto. If kids want something out of season, it's OK to buy frozen. Then steel yourself for some complaining and use the opportunity to convey a larger lesson. so i think its be because there kind of saying that its ok to have frozen food in the winter because its expensive to get fresh food in winter.
-8x+44\geq 60 \quad \maroonC{\text{ AND}} \quad -4x+50 -2x>−2x, is greater than, minus, 2 (Choice B) B x\leq -2x≤−2x, is less than or equal to, minus, 2 (Choice C) C x=-2x=−2x, equals, minus, 2 (Choice D) D There are no solutions (Choice E) E All values of xxx are solutions
Answer:
Use a website named to get math equation answersStep-by-step explanation:
wuieufheufheufhieuhdsjjdhfjdhjshkjhdjkhjdhfjkdhsjfhjdhskjfds
find the number for which 200% is b mins PLZ HELP QUICK
Answer:
200
Step-by-step explanation:
Amir ran the first 200-meter leg of the relay race with a speed of 8,260 millimeters per second. Ryder ran the last 200-meter leg with an average speed of 930 centimeters per second. Who ran the race faster, and how much faster was that person’s speed to the nearest meter per second?
A. Amir ran approximately 1 meter per second faster than Ryder.
B. Ryder ran approximately 1 meter per second faster than Amir.
C. Amir ran approximately 104 meters per second faster than Ryder.
D. Ryder ran approximately 104 meters per second faster than Amir.
Answer:
B
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
PLEASE HELP THIS IS DUE TODAY
what is the factor form of x^12^18+1
Answer:
2
6
6
2
3
3
3
3
2
8
0
8
8
5
2
4
3
9
0
4
+
1
Step-by-step explanation:
Answer:
2 6 6 2 3 3 3 3 2 8 0 8 8 5 2 4 3 9 0 4 + 1
Step-by-step explanation:
There are p marbles in a bag.
18 of the marbles are red.
Mary takes at random 40 marbles from the bag.
6 of these 40 marbles are red.
Work out an estimate for the value of p.
Simplify
1203
52
4 100
551
044
5
421
50
0
127
152
Answer:
The answer is C
Step-by-step explanation:
I pick that answer because you have divide
Which graph shows the solutions for the inequality x>-2 ?
what is the measure of efg if efh=111?
Answer:
43°
Step-by-step explanation:
∠EFG+∠GFH=∠EFH
So (3x-20)+(3x+5)=111.You don't need the parenthesis, 3x-20+3x+5=111Combine like terms, 6x-15=111Add 15, 126Divide by 6 to isolate the variable, x=21∠EFG is (3x-20) and we know x is 21. 3(21)-20=63-20=43.
Name the image of C(6,-4) under a rotation 90° about the origin. PLEASE HELP ME :)
Answer:
(4, 6)
Step-by-step explanation:
90 degree goes counterclockwise so
(6,-4) becomes( 4, 6)
(x,y) rotation 90 or -270 is (-y,x)
Elena ran 20 meters in 5.2 seconds. Priya ran 20 meters in 4.8 seconds.
(Who ran faster? Explain how you know.
Answer:
Elena
Step-by-step explanation:
5.2 is bigger than 4.8
Answer:
Priya
Step-by-step explanation:
speed=D÷t
speed=Distance÷time
Elena=20÷5.2=3.8m/sec
Priya=20÷4.8=4.2m/sec
can someone please help
Answer:
B
Step-by-step explanation:
Distribute the negative then simplify
You are going to have a quiz with 5 true/false questions next Friday. You
want to find the probability of passing the quiz, if you guess on each
question.
Create a simulation that would represent this situation and complete 10
trials. Show all of your work for full credit.
Based on the binomial probability principle, the probability of passing the quiz if all answers are guessed [tex] P(x = k) = 10Ck \times 0.50^{k} \times 0.50^{10-k} [/tex]
Let :
Number of questions passed = kNumber of trials, n = 10Probability of success, p = 1/2 = 0.50q = 1 - p = 1 - 0.50 = 0.50Using the binomial probability relation :
[tex] P(x = x) = nCx \times p^{x} \times q^{n-x} [/tex] x = kSubstituting the values into the relation :
[tex] P(x = k) = 10Ck \times 0.50^{k} \times 0.50^{10-k} [/tex]
Hence, the required probability expression is [tex] P(x = k) = 10Ck \times 0.50^{k} \times 0.50^{10-k} [/tex]
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