Mathematics High School

Given that f(x)=x3, find

Answers

Answer 1

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

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:

Years to Save:

Estimated Rate of Return

Compound Frequency:

Annually

Earned Interest

$3.50

Total Balance

$73.50

Hope this helps!

Answer:

73.50

Step-by-step explanation:

math

A____________ is sometimes a rhombus
A. Triangle
B. Square
C. Rectangle
D. Trapezoid

Answers

B:square
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.

Ill give brainless to whoever can help me with this problem

Answers

Answer:

Q’ = (-8, -4)
R’ = (-2, -4)
S’ = (-2, 4)
T’ = (-8, 4)

Hope this helps.

what interest rate do you need for an $5000 investment compounded annually to double in 10 years?

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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%

Please help me with my math please .?

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Answer:

Step-by-step explanation:

This is the required answer.

Simplify sqrt{5-n}^2 if n<5

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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

Read more about rational expressions at:

https://brainly.com/question/1851758

#SPJ1

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

102 swan park north north walnut north park park on the north north side corner of cape park north park on the north park park on the north cape cape north cape lake

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

Good evening! Can someone please answer this, ill give you brainliest and your earning 50 points. Would be very appreciated.

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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 = 1

Here, 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=512

But

5(9)²=5(81)=405

Clearly 2^x surpasses 5x²

So Tyler is wrong

which is bigger -32 or 13.8?

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13.8 is bigger being a positive number.

Find the gradients of lines A and B

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A= 1
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.

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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?

y=-9x+4

Put (-4,40)

40=-9(-4)+440=40

Verified

y=-3x-9

put (9,-36)

-36=-3(9)-9-36=-36

Verified

y=8x-2

Put (5,38)

38=8(5)-238=38

Verified

y=6x+2

Put (8,50)

50=6(8)+250=50

Hence verifiedl

Work out length of BC

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Answer:

assume [tex]13 = z \\ 8 =x \\ bc = y[/tex]

by phytagorean theorem

[tex]{y}^{2} + {x}^{2} = z^{2} [/tex]

[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.