Answers
Answer:
(f ∘ f)(–1) = –1
Step-by-step explanation:
To solve a composite function, rewrite using brackets and solve from inside to outside.
(f ∘ f)(x) is the same as: f[f(x)]
Given that x = –1 in (f ∘ f)(–1), we are solving for:
f[f(–1)] = ?
Solve for f(–1) inside the square brackets first.
f(x) = x³
f(–1) = (–1)³ Simplify.
f(–1) = –1 Solved the inside.
Substitute f(–1) = –1 into the square brackets.
f[f(–1)] = f[–1]
Now, we can solve the outside.
Solve with the equation of the function, x³.
f[–1] = x³
f[–1] = [–1]³ Substitute x = –1.
f[–1] = (–1)³ Simplify.
f[–1] = –1 Final answer
Related Questions
WHAT IS THE LENGTH!!!
the area is 107.95
the base is 12
the height is 12.7
the length is x
Answers
The figure is a trapezoid (or trapezium), and the exact length of the trapezoid is 5 units
How to determine the length?The figure is a trapezoid with the following parameters:
Area = 107.95
Base= 12
Height = 12.7
Length = x
The area of a trapezoid is:
Area = 0.5 * (Base + Length) * Height
So, we have:
0.5 * (12 + Length) * 12.7 = 107.95
Evaluate the product
(12 + Length) * 6.35 = 107.95
Divide both sides by 6.35
12 + Length = 17
Subtract 12 from both sides
Length = 5
Hence, the length of the trapezoid is 5 units
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A cube has a surface area of 486 inches square. Can the length of each side of the cube be 11 inches? Explain
Answers
Answer:
The volume of cube whose total surface area is 486 cm² is 729 cm³
Step-by-step explanation:
Work out length of BC
Answers
Answer:
assume [tex]13 = z \\ 8 =x \\ bc = y[/tex]
by phytagorean theorem
[tex]{y}^{2} + {x}^{2} = z^{2} [/tex]
so
[tex]bc = y = \sqrt{ {z}^{2} - {x}^{2} } = \sqrt{169 - 64} = \sqrt{105} [/tex]
[tex] \huge \tt \color{pink}{A}\color{blue}{n}\color{red}{s}\color{green}{w}\color{grey}{e}\color{purple}{r }[/tex]
[tex] \large\underline{ \boxed{ \sf{✰\:Note }}}[/tex]
★ 1st let's know what is the given figure is and it's related concepts for solving !
➣ Given Triangle is a right angled triangle ➣ It is having 3sides let's know what are the name of these sides ➣ 1st AB is know as hypotenuse➣ 2nd AC and is called Base of the triangle➣ 3rd BC whích is know as perpendicular of the triangle➣ Hypotenuse(H):-The side of a right triangle opposite the right angle.➣ Perpendicular(P):- Exactly upright; extending in a straight line. ➣ Base(B):- it also known as the side opposite to hypotenuse➣Perpendicular and base are know as the leg of right angled triangle➣ We can easily find length of one missing side by using a theorem name as "Pythagorean theorem"➣ Pythagorean theorem :- A mathematical theorem which states that the square of the length of the hypotenuse of a right triangle is equal to the sum of the squares of those of the two other sides★ Note :- The Pythagorean theorem only applies to right triangles.[tex] \rule{70mm}{2.9pt}[/tex]
★ Writing this theorem mathematically ★
[tex] { \boxed{✫\underline{ \boxed{ \sf{Pythagorean \: theorem \: ⇒ {Hypotenuse }^2={ Base }^2+ {Height }^2}}}✫}}[/tex]
★ Here ★
➣ Base (AC)= 8cm➣ Hypotenuse (BA)= 13cm[tex] \rule{70mm}{2.9pt}[/tex]
✝ Assumption ✝➣ let perpendicular/length ( BC ) = "x"[tex] \boxed{ \rm{ \pink ➛BA^2= AC^2+BC^2}}[/tex]
[tex] \rule{70mm}{2.9pt}[/tex]
✝ let's substitute values ✝[tex]\rm{ \pink ➛13^2= 8^2+x^2} \\ \rm{ \pink ➛169 = 64 + {x}^{2} } \\ \rm{ \pink ➛169 - 64 = {x}^{2} } \\ \rm{ \pink ➛105 = {x}^{2}} \\ \rm{ \pink ➛ \sqrt{105} \: or \: 10.2469 = x} \\ [/tex]
[tex] \rule{70mm}{2.9pt}[/tex]
Hence length (BC) in the given triangle is of
[tex] { \boxed{✛\underline{ \boxed{ \sf{\sqrt{105} cm\: or \: 10.2469cm\green✓}}}✛}}[/tex]
[tex] \rule{70mm}{2.9pt}[/tex]
Hope it helps !
A line contains the following points left to right: r, t, u, s. the space between r and t is 12 units. the space between r and s is 24 units. if tu = 6 units, what must be true? su ut = rt rt tu = rs rs su = ru tu us = rs
Answers
Given thet SU = UT = 6 units, hence 6 + 6 = 12 showing that the expression SU + UT = RT is TRUE. Option A is correct
Measure of line segmentsA line is defined as the distance between two points
From the given line, RT = TU = 12 unitsSince the point T bisects RT and TU = 6 units, hence the point U bisects TS.
The sum of the segment SU and UT will be RT
SU + UT = RTGiven that SU = UT = 6 units, hence 6 + 6 = 12 showing that the expression SU + UT = RT is TRUE
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A survey of birds in Forests A and B counted the number of robins and sparrows. Use the resulting frequency table to find each percentage.
Robins Sparrows Totals
Forest A 9 16 25
Forest B 36 64 100
Totals 45 80 125
percent of birds in Forest B that are robins =
%
percent of sparrows that are in Forest A =
%
percent of birds that are in Forest A =
%
Answers
Answer:
36%20%20%Step-by-step explanation:
Percentage of birds in Forest B that are robins :
No. of robins in Forest B / birds in Forest B36 / 1000.3636%Percentage of sparrows that are in Forest A :
Sparrows in Forest A / total sparrows16 / 800.220%Percentage of birds in Forest A :
Birds in Forest A / Total birds25 / 1250.220%Answer:
36%
20%
20%
Step-by-step explanation:
Percentage of birds in Forest B that are robins :
No. of robins in Forest B / birds in Forest B
36 / 100
0.36
36%
Percentage of sparrows that are in Forest A :
Sparrows in Forest A / total sparrows
16 / 80
0.2
20%
Percentage of birds in Forest A :
Birds in Forest A / Total birds
25 / 125
0.2
20%
Express the area A of a circle as a function of its circumference C. (A = πr² and C = 2πr)
Answers
AnswerI dont know
Step-by-step explanation:
how do you expect me to k
714 divided by 7
this will really help me!
(im bad at division)
Answers
Answer:
102
Step-by-step explanation:
So 714 divided by 7 = 102
After stepping into a room with unusual lighting, Reagan's pupil has a radius of 1 millimeter. What is the pupil's area?
Use 3.14 for .
Answers
So, multiplying the radius by itself is 1, and then multiplying 1 by PI is the same as 3.14 .
Please help me with my math please .?
Answers
Answer:
Step-by-step explanation:
Define bisect and midpoint. Using constructions, draw and label an angle bisector and a perpendicular bisector. Show segment addition postulate and angle addition postulate with examples of solving for a variables
Answers
Bisect is a word that means to divide a thing, line or a circle into two parts. While midpoint is known as the middle point that exist in a line segment.
What is Angle addition postulate?This theory states that if two angles are said to be put beside each other, the resulting angle is said to be equal in terms of the sum of the two real angle measures.
Note therefore, that that Bisect is a word that means to divide a thing, line or a circle into two parts. While midpoint is known as the middle point that exist in a line segment.
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In a group of 30 high school students, 15 play football, 19 play basketball and 6
do not play either sport. DRAW a Venn Diagram in the space below to DETERMINE
how many students play basketball but not football.
Answers
Answer:
Hope the picture will help you........
Simplify sqrt{5-n}^2 if n<5
Answers
The expression √(5 - n)² is a rational expression, and the simplified expression of √(5 - n)² is 5 - n
How to simplify the expression?The expression is given as:
√(5 - n)²
Where n < 5
The inequality n < 5 has no effect on the expression.
So, we have:
√(5 - n)² = 5 - n
Hence, the simplified expression of √(5 - n)² is 5 - n
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Which graph represents the solution of (y+2)²/4 + (x-3)²/9 <1 and y ≤√x-1-4?
Answers
Answer:
y²+x-7=-x+37
Step-by-step explanation:
im a pickle morty its the funniest thing ive ever experienced
Answer:
A
Step-by-step explanation:
Good evening! Can someone please answer this, ill give you brainliest and your earning 50 points. Would be very appreciated.
Answers
Tyler concludes that 5x² will always have a larger output for the same value of x.
Look at the graph below and the table given
Take a random value: x = 0
When 5x², y = 0When 2^x, y = 1Here, 1 > 0, making 2^x > 5x²
Hence, 2^x is greater than 5x² at this point. making Tyler's point not applicable.
Disagree with Tyler's point.
No it won't be
Take x =9
2^x=2^9=512But
5(9)²=5(81)=405Clearly 2^x surpasses 5x²
So Tyler is wrong
Write an equation of the circle with center (-3, 2) and diameter 12.
Answers
Answer:
i d k the answer soory about that
Step-by-step explanation:
just for points
Tiana has $70 in an account. The interest rate is 5% compounded annually.
To the nearest cent, how much will she have in 1 year?
Answers
Answer:
73 dollars and 50 cents
Step-by-step explanation:
Initial Deposit:
70
Years to Save:
1
Estimated Rate of Return
5
Compound Frequency:
Annually
Earned Interest
$3.50
Total Balance
$73.50
Hope this helps!
Answer:
73.50
Step-by-step explanation:
math
What type of sampling is described in this study?
A company that sells hair-care products wants to
determine if a product that combines shampoo and
conditioner works better than a shampoo and
conditioner used separately. A researcher recruits 60
volunteers and pairs them according to age, hair color,
and hair type. For each pair, the researcher flips a coin
to determine which volunteers will use the
shampoo/conditioner combination and which ones will
use the separate shampoo and conditioner. After using
the products for one month, the subjects are asked to
rate their satisfaction with the hair products on a scale
of 1-10 (1 = highly dissatisfied and 10 = highly
satisfied). What type of sampling is described in this study?
one sample
paired data
two samples
more than two samples
Answers
The sampling type in this study, where a researcher recruits 60 paired volunteers and asks them to rate their satisfaction after product use, is B. paired data.
What is a paired data test?A paired data test or sampling is used when the researcher is interested in the difference between two variables for the same subject.
For instance, in this experiment, the researcher wants to find the satisfaction level of the volunteers who used the shampoo and conditioner separately or combined.
Thus, the sampling type in this study, where a researcher recruits 60 paired volunteers and asks them to rate their satisfaction after product use, is B. paired data.
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what interest rate do you need for an $5000 investment compounded annually to double in 10 years?
Answers
What interest rate do you need to double your money in 10 years?
R = 72/t = 72/10 = 7.2% Example Calculation in Months If you invest a sum of money at 0.5% interest per month, how long will it take you to double your investment? t=72/R = 72/0.5 = 144 months (since R is a monthly rate the answer is in months rather than years)
Therefore, since R is a monthly rate the answer is in months rather than years, the interest rate that you need for an $5000 investment compounded annually to double in 10 years is 7.2%
Find the volume of the rectangular prism. WA 3yd 3 yd 4 yd
Answers
The function f(x)= x3 - 10x² + 29x-20 is graphed below. Over which interval
is the rate of change negative?
Answers
Answer:
2.2 ≤ x ≤ 4.5
Step-by-step explanation:
The rate of change simply is asking when the gradient is negative and since a graph is provided you can tell where the line is declining which is in between 2.2 and 4.5. Without a graph, you can use the derivative to find out the negative rate of change of a cubic instead.
Need some help! Please be specific.
Write a system of equations to represent the following word problem:
ASB sold 340 raffle tickets. Advanced tickets cost $2 each and same-day tickets cost $3 each. If a total of $810 was collected, how many of each type of ticket was sold?
Answers
Answer: 210 advanced tickets were sold. 130 same day tickets were sold.
Step-by-step explanation:
x= advanced tickets y=same day tickets
2x+3y=810 this equation represents the money
x+y=340 this equation represents the total number of tickets
x+y=340
-x -x
y=-340-x 2x+3(340-x)=810 210+y=340
2x+1020-3x=810 -210 -210
-x+1020=810 y=130
-1020 -1020
-x=-210
-1 -1
x=210
A sequence starts with: 25 20 15 10... what is the term-to-term rule of the sequence?
Answers
The Golden Ratio
Step-by-step explanation:
We can see for the that it is a constant ratio of declining -5 each new number that means the ratio of the previous is the same as the ratio of the next. Hopefully this helps.
A____________ is sometimes a rhombus
A. Triangle
B. Square
C. Rectangle
D. Trapezoid
Answers
If you rotate the square it can also be a rhombus
Answer:
C (Square)
Step-by-step explanation:
Squares are quadrilaterals with 4 congruent sides. Since rhombuses are quadrilaterals with 4 congruent sides, squares are by definition also rhombuses.
Find the gradients of lines A and B
Answers
B= -2
you’re welcome
Actually 100 points check for yourself (Easiest 100 points) Match each ordered pair on the left with the functions on the right.
Answers
Answer:
(-4, 40) y = -9x + 4
(8, 50) y = 6x + 2
(9, -36) y = -3x - 9
(5, 38) y = 8x - 2
Do you want an explanation?
#1
y=-9x+4Put (-4,40)
40=-9(-4)+440=40Verified
#2
y=-3x-9put (9,-36)
-36=-3(9)-9-36=-36Verified
#3
y=8x-2Put (5,38)
38=8(5)-238=38Verified
#4
y=6x+2Put (8,50)
50=6(8)+250=50Hence verifiedl
Last week, Emma painted her fence. She used 6 cans of paint. There were 4 liters of paint in each can.
Answers
Answer:
I'm guessing you want how many liters of paint she used?
she used 24 liters of paint to paint her fence.
Step-by-step explanation:
theres 6 cans
4 liters in each can
6×4=24
line pass through the line (-3, -7.5)tahila determined that the equation of line n is y=0.5x explain the error tahila made while dterming her equation and include the correct equation in your answer
Answers
The equation of the line will be (assuming the y-intercept equal to zero):
y = 2.5*x
What is Tahila's mistake?
We know that we have a linear equation of the form:
y = a*x + b
Such that we know that the line passes through (-3, -7.5), notice that the proposed equation is:
y = 0.5*x
If you evaluate that in -3, you get:
y = 0.5*-3 = -1.5
So this line does not pass through (-3, -7.5).
If we assume that b = 0 in the linear equation, then we can find the value of a as:
-7.5 = a*-3
a = 7.5/3 = 2.5
Then the linear equation is:
y = 2.5*x
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At Super Shopper a 1-litre bottle of cola costs £0.85.
At Rex Retail a 1.5-litre bottle costs £1.30.
At which shop is cola better value for money?
Answers
Answer:
super shopper
Step-by-step explanation:
o.85/2=0.425
0.425*3=1.275
Ill give brainless to whoever can help me with this problem
Answers
Q’ = (-8, -4)
R’ = (-2, -4)
S’ = (-2, 4)
T’ = (-8, 4)
Hope this helps.
which is bigger -32 or 13.8?