Answers
Given:
The given function is:
[tex]f(x)=11x-11[/tex]
To find:
The value of [tex](f\circ f^{-1})(-11)[/tex].
Solution:
We have,
[tex]f(x)=11x-11[/tex]
First we have to find the inverse of this function.
Putting f(x)=y, we get
[tex]y=11x-11[/tex]
Interchange x and y.
[tex]x=11y-11[/tex]
Isolate the variable y.
[tex]x+11=11y[/tex]
[tex]\dfrac{x+11}{11}=y[/tex]
[tex]y=\dfrac{x+11}{11}[/tex]
Putting [tex]y=f^{-1}(x)[/tex], we get
[tex]f^{-1}(x)=\dfrac{x+11}{11}[/tex]
Now,
[tex](f\circ f^{-1})(-11)=f(f^{-1}(-11))[/tex]
[tex](f\circ f^{-1})(-11)=f\left(\dfrac{-11+11}{11}\right)[/tex] [tex]\left[\because f^{-1}(x)=\dfrac{x+11}{11}\right][/tex]
[tex](f\circ f^{-1})(-11)=f\left(\dfrac{0}{11}\right)[/tex]
[tex](f\circ f^{-1})(-11)=f\left(0\right)[/tex]
The given function is [tex]f(x)=11x-11[/tex].
[tex](f\circ f^{-1})(-11)=11(0)-11[/tex]
[tex](f\circ f^{-1})(-11)=-11[/tex]
Therefore, the value of [tex](f\circ f^{-1})(-11)[/tex] is [tex]-11[/tex]. Hence the correct option is A.
Related Questions
Calculate the Mean Absolute Deviation of these data. Round answers to the nearest tenth (one decimal place).
12, 17, 20, 8, 13
Answers
Answer: 3.6
Step-by-step explanation:
Find the area of the regular 18-gon with radius 10 mm
Answers
Answer:
Step-by-step explanation:
Find the area of the regular 18-gon with radius 10 mm
Below are two images with scale copies of each other. Determine the scale factor for each of the following:
Answers
What is the quotient of 1/2 divided 3
Answers
Answer:
1/6
Step-by-step explanation:
the answer is 1/10 or .1
Find the area.
Help me please!
Answers
Answer:
16 cm^2
Step-by-step explanation:
Formula = 1/2 * base * height
1/2 * 8 * 4 = 16
16 cm^2
what is the value of 4(a+b) when a=2 and b=7
Answers
Answer: 4x2=8
4x7=28 the full answer should be 144 since 28+8 =36 a 4x36 = 144
Step-by-step explanation:
what is 136 over 20 x 96 over 20?
Answers
Answer:
32.64
Step-by-step explanation:
136/20*96/20=32.64
It’s on the picture .
Answers
Answer:
slope 2
yint 1
equation y=2x+1
HELP ME OUT GUYS ILY ALL AND I WILL GIVE BRAINLIEST
Answers
A = area of triangle + area of rectangular + half of the circle area
_________________________________
triangle area = 1/2 × base × height
triangle area = 1/2 × 3 × 5 = 15/2 = 7.50
☆☆☆☆☆☆☆☆☆☆☆☆☆☆☆☆☆☆
rectangular area = length × width
rectangular area = 6 × 5 = 30
☆☆☆☆☆☆☆☆☆☆☆☆☆☆☆☆☆☆
circle half area = 1/2 × pi × radius^2
circle half area = 1/2 × 3.14 × 3^2
circle half area = 1.57 × 9
circle half area = 14.13
_________________________________
A = 7.50 + 30 + 14.13
A = 51.63 m^2
One smartphone plan costs $52 per month for talk and messaging and $8 per gigabyte of data used each month. A second smartphone plan costs $82 per month for talk and messaging and $3 per gigabyte of data used each month. Let c represent the total cost in dollars and d represent the amount of data used in gigabytes.
The system of equations {c=52+8dc=82+3d can be used to represent this situation.
How many gigabytes would have to be used for the plans to cost the same? What would that cost be?
Both plans would cost $
if
gigabytes of data are used.
Answers
Answer:
a) 6 gigabytes
b) $100
Step-by-step explanation:
Let c represent the total cost in dollars and d represent the amount of data used in gigabytes.
For the first smartphone
One smartphone plan costs $52 per month for talk and messaging and $8 per gigabyte of data used each month.
Equation =
c = 52 + 8d
For the Second smartphone
A second smartphone plan costs $82 per month for talk and messaging and $3 per gigabyte of data used each month.
Equation =>
c = 82 + 3d
How many gigabytes would have to be used for the plans to cost the same?
We would equate both cost to each other
52 + 8d = 82 + 3d
Collect like terms
8d - 3d = 82 - 52
5d = 30
d = 30/5
d = 6
Therefore,
a) The number of gigabytes for the cost of both Smartphone data plans to be the same = 6 gigabytes.
b) The cost of both plans if 6 gigabytes is used =>
c = 52 + 8d
c = 52 + 8 × 6
c = $100
Can you help me plz? I'll mark brainilest
Answers
Please help!! What is the x-intercept of the line graphed below? Write your answer as an ordered pair.
Answers
Answer:
The x-intercept is (-5,0)
Step-by-step explanation:
Answer:
(-5,0)
X-axis coordinate number first, then y-axis.
On Saturday 4 groups of people went to the restaurant at the ski resort. Each group had 5 people in it. Everyone ordered a cup of hot chocolate. Rebecca,Malaki,and Jeffery each ordered an extra cups of hot chocolate.how many many cups of chocolate did the people drink that day?
Answers
Answer:
23
Step-by-step explanation:
total number of people at the restaurant = number of groups x total number of people in the groups
4 x 5 = 20
20 people ordered hot chocolate
3 people ordered an extra cup of hot chocolate.
The total number of hot chocolate ordered = 20 + 3 = 23
Will mark brainliest if correct! No links ! It’s math
Answers
Answer:
RP=21
Step-by-step explanation:
I started with 111 divided by 37 which gave me 3 and to be safe I did 51 divided by 3 which did give me 17 so then I just did 63 divided by 3 and got 21.
points for whoever solves this little question first
if an coco-nut has milk and hair why isn't it considered a mam-mal
Answers
A coconut does not, in fact, have hair despite what it's called.
Additionally, it does feed its young with milk, unlike mammals.
Also, a coconut is a plant. Plants are not mammals.
Which statement is best supported by the information in the box plots?
Answers
Answer: A
Step-by-step explanation:
Answer:
It is A
Step-by-step explanation:
Mia walks up to a claw machine with a pocket full of quarters. She spends them at a rate of two every minute until she runs out.
Part A
If the number of quarters Mia has is graphed over time, which feature of the graph corresponds to the rate at which Mia spends the quarters?
A. the x-intercept
B. the slope
C. the y-intercept
D. the minimum value
Part B
What is the slope?
A. 2
B. 60
C. −60
D. −2
Answers
part a
The x-intercept
part b
2
The y - intercept is the graph corresponds to the rate at which Mia spends the quarters.
And, The value of slope will be 2.
What is Equation of line?The equation of line in point-slope form passing through the points (x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
She spends them at a rate of two every minute until she runs out.
Now,
Since, She spends them at a rate of two every minute until she runs out.
And, The number of quarters Mia has is graphed over time.
We know that;
Usually we represent the independent variable (time) by x and dependent variable (quarters) by y.
Hence, The y - intercept is the graph corresponds to the rate at which Mia spends the quarters.
So, The slope = 2/1
= 2
Thus, The y - intercept is the graph corresponds to the rate at which Mia spends the quarters. And, The value of slope will be 2.
Learn more about the equation of line visit:
https://brainly.com/question/18831322
#SPJ2
I'll give BRAINLEST
what is the total surface area of the triangular prism
Answers
Answer:
105.962
Step-by-step explanation:
Answer:
960 or 64
Step-by-step explanation:
4•6=24
8•5=40
24+40=64
or
24•40=960
Please help and explain how u got the answer
Answers
Answer: 258
Step-by-step explanation: add the numbers all together
Answer:
102
Step-by-step explanation:
all quadrilaterals have a sum of interior angles= 360
Therefore, you subtract the angles you have so far from 360 so. 360-78-66-114=102
Lupe uses 6.6 pints of white paint and blue paint to paint her bedroom walls. 2 5 of this amount is white paint, and the rest is blue paint. How many pints of blue paint did she use to paint her bedroom walls?
Answers
Answer:
3.96 pints of blue paint was used by Lupe to paint her bedroom walls
Step-by-step explanation:
Given,
Totals pints of white and blue paint used = 6.6
Out of this 6.6 pints, 2/5 is white paint and 3/5 is the blue paint
Total amount of blue paint used to paint the bedroom walls
[tex]\frac{3}{5} *6.6\\= 3.96[/tex] pints
Will mark Brainliest. I really do not understand this at all
Answers
Answer:
basically you are writting an equation for the solution of the circle if you didnt get what i said ask a teacher
Step-by-step explanation:
Solve for u.
11u = -22
Simplify your answer as much as possible. <3
u = ???
Answers
Answer:
u=-2
Step-by-step explanation:
Let's solve your equation step-by-step.
11u=−22
Step 1: Divide both sides by 11.
11u
11
=
−22
11
u=−2
Answer:
u=−2
Please help me. thank you!
Answers
Answer:
thanks for the points lol
Step-by-step explanation:
Answer:
x= -10
Step-by-step explanation:
ASAP HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP!!!!!!!!!!!!!!!!
Answers
Answer:
enlargement, greater than one
Step-by-step explanation:
it got bigger
Observe os pontos Z, Y, W, X e V marcados na reta numérica abaixo.
M120566H6
Desses pontos, o que melhor representa a localização do número irracional 14−−√ é o
Z.
Y.
W.
X.
V.
Answers
Y
A raiz quadrada de 14 seria 3.74165738677 ou 3.7
Arredondamos para 4 já q 7 é próximo de 10
16. Geography If a ship sailed due south from Iceland to Antarctica, it would sail
through an angle of rotation of about 140° around Earth's center. Find this measure in
radians. Then, using 3960 miles for Earth's radius, find how far the ship would travel.
Answers
Answer:
9674.28 miles
Step-by-step explanation:
From the above question, we are given:
Central angle = 140°
Radius = 3960 miles
We are to solve for the distance = Arc length
The formula for Arc length when your central angle is in radians
r × θ
θ = 140°
Converting 140° to radians
140° × π/180 = 2.443rad
Hence,
3960 × 2.443 rad
= 9674.28 miles
The ship would travel 9674.28 miles.
There are 360 seals. Of them are 9/20 are pups. The rest are adult seals . How many pups are the beach .
Answers
Answer:
162 pups are on the beach
Step-by-step explanation:
9/20 of 360
The key word "of" tells us to multiply
Variable x = number of pups
9/20 × x/360
Cross multiply
9 × 360 = 20 × x
3,240 = 20x
Divide both sides by 20
162 = x
Check our work:
9/20 = 162/360
Cross multiply
9 × 360 = 20 × 162
3,240 = 3,240
Correct
Please help me with this
Answers
Answer:
i dont know
Step-by-step explanation:
KatyDid Clothes has a $120 million (face value) 25-year bond issue selling for 103 percent of par that carries a coupon rate of 9 percent, paid semiannually.
Answers
Answer:
8.704%
Step-by-step explanation:
The computation of the before cost of debt is as follows
Given that
Future value = $100
Present value = $103
NPER = 25 × 2 = 50
PMT = $100 × 9% ÷ 2 = $4.5
The formula is presented below:
= -RATE(NPER;PMT;PV;FV;TYPE)
After applying the above formula, the rate is 4.3518%
Yearly rate is
= 4.3518% ×2
= 8.704%
Andy ran a 5 kilometer race in 40 minutes if Andy maintains that same Pace how many klometers can Andy run in 1 hour
Answers
Explanation: 40/5=8
