1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Archy [21]
3 years ago
15

I REALLY NEED HELP WORTH 10 POINTS URGENT!!!!!

Mathematics
1 answer:
polet [3.4K]3 years ago
8 0

Answer:

(f\circ g)(4)=31

Step-by-step explanation:

<u>Composite Function</u>

Given f(x) and g(x) real functions, the composite function named fog(x) is defined as:

(f\circ g)(x)=f(g(x))

For practical purposes, it can be found by substituting g into f.

We have:

f(x)=3x+1

g(x)=x^2-6

Computing the composite function:

(f\circ g)(x)=f(g(x))=3(x^2-6)+1

Operating:

(f\circ g)(x)=3x^2-18+1

Operating:

(f\circ g)(x)=3x^2-17

Now evaluate for x=4

(f\circ g)(4)=3(4)^2-17=48-17

\boxed{(f\circ g)(4)=31}

You might be interested in
Which of the following best describes the folding method used to form an angle bisector?
allsm [11]
The correct answer would be choice A.

An angle bisector is an angle that is exactly in the middle of an angle. It is right in between the two rays of the angle. If you fold a paper having the rays touch, the fold will be right in the middle. That will be your angle bisector.
8 0
3 years ago
Read 2 more answers
If an 8 hour work day includes a total break time of 22 1/4%, how many hours are used for breaks?
torisob [31]

Answer:

1 39/50 hours. This is equivalent to 1.78 hours.

Step-by-step explanation:

The sum of the hours of work and the hours for break gives the work day hour which has been given as 8 hours.

Furthermore, given that the break time is 22 1/4%, the number of hours for break

= 22 1/4% × 8 hours

= 89/400 × 8

= 1 39/50 hours

4 0
3 years ago
Dy/dx= y^4 and y(2)= -1. Y(-1)=
cupoosta [38]

It looks like you're asked to find the value of y(-1) given its implicit derivative,

\dfrac{dy}{dx} = y^4

and with initial condition y(2) = -1.


The differential equation is separable:

\dfrac{dy}{y^4} = dx

Integrate both sides:

\displaystyle \int \frac{dy}{y^4} = \int dx

-\dfrac1{3y^3} = x + C

Solve for y :

\dfrac1{3y^3} = -x + C

3y^3 = \dfrac1{-x+C} = -\dfrac1{x + C}

y^3 = -\dfrac1{3x+C}

y = -\dfrac1{\sqrt[3]{3x+C}}

Use the initial condition to solve for C :

y(2) = -1 \implies -1 = -\dfrac1{\sqrt[3]{3\times2+C}} \implies C = -5

Then the particular solution to the differential equation is

y(x) = -\dfrac1{\sqrt[3]{3x-5}}

and so

y(-1) = -\dfrac1{\sqrt[3]{3\times(-1)-5}} = \boxed{\dfrac12}

6 0
2 years ago
What is 8 divided by 1/4
katovenus [111]
8 divided by 1/4 is the same as 8 multiplied by 4, which is 32
8 0
3 years ago
Read 2 more answers
Multiply: (sqrt10 +2 sqrt8)(sqrt10-2 sqrt8)
vesna_86 [32]

Answer:

(√10 +2√8)(√10 -2√8)=

(10 -8√5 + 8√5 -32)

10+0-32

10-32

= -22

Hope this helps.

6 0
3 years ago
Other questions:
  • Which of the following are statistical questions? Select all.
    8·1 answer
  • El señor Rodolfo tiene una camioneta que puede cargar hasta 4 toneladas.Si cada vaca de su rancho pesa 350 kilogramos ¿Cuántas v
    11·1 answer
  • PLEASE HELP!!!!!! what is the simplified expression to represent the area of the shaded region???
    15·1 answer
  • Sam is building a model if an antique car the scale of his model to the actual car is 1:10 his model is 18 1/2 how long is the a
    11·1 answer
  • Select the graph of y= sin x.
    9·2 answers
  • ABCDE is a pentagon. AM is the line of symmetry. How can you find all the inner angles?​
    14·1 answer
  • -4y + 3x - 2x - 5y - 4<br> Combining like terms
    14·1 answer
  • (
    5·1 answer
  • Deandra spent $14.00 of the $20.00 in her wallet. What decimal is equivalent to the fraction of the $20.00 Deandra spent? $14.00
    10·1 answer
  • Which equation best models the data in the scatter plot? ​
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!