All categories

4 years ago

[Function Composition] could someone help me with this answers or show work either is fine

Mathematics

1 answer:

Ronch [10]4 years ago

6 0

Answer:

The required answer is 100 .

Step-by-step explanation:

Given function to us is ,

⇒ f(n) = 4n + 2 . And we need to find (f • f) (-3)

So , first let's find f•f , which will be ,

⇒ (f • f) = (4n + 2)(4n + 2)

⇒ (f • f) = 4n ( 4n + 2 ) +2 ( 4n + 2)

⇒ (f • f) = 16n² + 8n + 8n + 4

⇒ (f • f) = 16n² + 16n + 4

====================================

Now we need to find (f • f)(-3) . So on substituting f = (-3) , we have :-

⇒ (f • f)(n) = 16n² + 16n + 4

⇒ (f • f)(-3) = 16*(-3)² + 16*(-3) + 4

⇒ (f • f) (-3) = 16* 9 - 48 + 4

⇒ (f • f)(-3) = 144 - 44

⇒ ( f • f) (-3) = 100

<h3>Hence the value of ( f • f)(-3) is 100 .</h3>

You might be interested in

A circle is centered at $O$ and has an area of $48 \pi.$ Let $Q$ and $R$ be points on the circle, and let $P$ be the circumcente

nikklg [1K]

Answer:

Area of Triangle QRP = 3 $\sqrt{3}$

Step-by-step explanation:

According to Question , We have a circle With Centre 'O' & Area 48 $\pi$ .

Area Of Circle = 48 $\pi$

$\pi$ $r^{2}$ = 48 $\pi$

r = $\sqrt{48}$

Now We Have Two Points Given On Circle Q & R , P Is Circumcentre Of Triangle QRO .

Thus A Circle Can Also Be Formed with Centre P . ( See attachment For Diagram )

Now The Diameter of Circle With Centre P = Radius Of Circle with Centre O

so Radius Of Circle With Centre P( $r_{2}$ ) = $\frac{\sqrt{48}}{2}$

Now We Have To Find Area Of Equilateral Triangle .

A = $\frac{\sqrt{3}}{4} r_{2} ^{2}$

A= $\frac{\sqrt{3} }{4} * \frac{\sqrt{48} }{2}*\frac{\sqrt{48} }{2}$

The Area Of PQR is = 3 $\sqrt{3}$

For Diagram , Please Find In Attachment

7 0

3 years ago

Of the 17 students in a programming class, 6 own 1 computer, 3 own 2 computers, 3 own 3 computers, 2 own 4 computers, and 3 own

AlexFokin [52]

The median number of computers owned by the 17 students is 2.

<h3>What is median in statistics?</h3>

A dataset's median represents the midpoint; half of the data points are smaller and half are greater than the median.

Identifying the median: The data points should be arranged from smallest to largest. The median is the middle data point in the list if the number of data points is odd.

The total number of students are 17.

The data can be arranged in the following table

number of students number of computers

6 1

3 2

3 3

2 4

3 5

Arrange the given frequencies in the increasing order-

1 1 1 1 1 1 2 2 2 3 3 3 4 4 5 5 5

The middle term of the arrange frequencies is 17/2 = 8.5

Median = (8 term + 9 term)/2

= (2 + 2)/2

= 2

Therefore, the median number of computers owned by the 17 students is 2.

To know more about the median, here

brainly.com/question/8892632

#SPJ4

The correct question is -

Of the 17 students in a programming class, 6 own 1 computer, 3 own 2 computers, 3 own 3 computers, 2 own 4

computers, and 3 own 5 computers. What is the median number of computers owned by the 17 students?

7 0

2 years ago

A bag of marbles contains 5 red, 3 blue, 2 green, and 2 yellow marbles.

jeka57 [31]

Answer:

Step-by-step explanation:

P=5/12×2/12=5/72

7 0

4 years ago

Read 2 more answers

Chuck and Dana agree to meet in Chicago for the weekend. Chuck travels 252 miles in the same time that Dana travels 228 miles. I

Alex777 [14]

Answer:

Chuck travels as 63mph

Step-by-step explanation:

4 0

4 years ago

Can someone possible help me with this

Alecsey [184]

Ok i would help but it’s blank

7 0

3 years ago

Read 2 more answers