For the pair of functions, find (f o g)(x) and (gof)(x).show work!!!!!
f(x) = -2x^2, g(x) = x + 4

A. (fog)(x) = -2x^2– 8x^2; (gof)(x) = -2x^3 - 8x^2

B. (fºg)(x) = -2x^2– 16x - 32; (g = f)(x) = -2x^2+ 4

C. (fog)(x) = -2x^2 + 4; (g e f)(x) = -2x^2- 16x - 32

D. (fog)(x) = -2x^2- 32; (go 3)(x) = -2x^2 + 4

Answers

Answer 1
d is the correct answer i believe is right
Answer 2

The function (f·g)(x) is -2x³-8x²and the function (g·f)(x) is -2x³-8x². Therefore, the correct answer is option A.

What is the function?

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

The given functions are f(x)=-2x² and g(x)=x+4.

Now, (f·g)(x)=f(x)×g(x)

= -2x² ×(x+4)

(f·g)(x)= -2x³-8x²

Here, (g·f)(x)=g(x)×f(x)

= (x+4)×(-2x²)

(g·f)(x)= -2x³-8x²

Therefore, option A is the correct answer.

To learn more about the function visit:

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Related Questions

Billy borrowed $400 from his friend Tommy to get his truck fixed. The next time he got paid, Billy paid Tommy back $100, then agreed to pay $25 a week until his debt was paid off. 1.Write a linear equation to represent the amount of money m Billy owes Tommy after w weeks. 2.How long will it take Billy to pay off his debt to Tommy?

Answers

Answer:

(400 - 100) / 25 = 12

Step-by-step explanation:

Billy gives Tommy 100, so we can subtract $100 from $400, giving us 300. Then to undertand how many weeks it will  take Billie to pay Tommy, we divide 300 by 25, and get 12.

Hope this helps!

Answer:

( 400 - 100 )

Step-by-step explanation:

Have a nice day <3

At a local department store sweaters typically cost $44. However due to a special the sweaters are reduced to $22. What percent of the original price has the sweater been reduced to

Answers

Answer:

50% reduction in price

Step-by-step explanation:

can be determined by 44- (44× X) solve for x and you get x as .5

the area of a square rug is 72 square feet. what is the approximate length of one side of the rug?

Answers

18 feet
72/4 = 18


This needs to be 20 characters sorry

help me please!!!!!!!​

Answers

Answer:

C (-6,-8) → C' (6,8)

D (-2,-8) → D' (2,8)

E (-2,-4) → E' (2,4)

F (-6,-4) → F' (6,4)

Step-by-step explanation:

When you rotate a point 180° counterclockwise about the origin, the point A (x,y) becomes A' (-x,-y). So, if the points are positive, they will become negative.

Because all the points are negative, rotating them 180° counterclockwise will make them positive.

Hope that helps.

Is -3/7 rational or irrational

Answers

Answer:

Is rational. The value is 0.42857.

Step-by-step explanation:

9. In City A, the temperature rises 9 from 8 A.M. to 9 A.M. Then the temperature drops 8 from 9 A.M. to 10 A.M. In City B, the temperature drops 5º from 8 A.M. to 9 A.M. Then the temperature drops 4º from 9 A.M. to 10 A.M.

a. What expression represents the change in temperature for City A?

b. What integer represents the change in temperature for City A?

c. What expression represents the change in temperature for City B?

d. What integer represents the change in temperature for City B?

e. Which city has the greater change in temperature from 8 A.M. to 10 A.M.? 10.​

Answers

The expression for temperature change in City A is 9 + (-8)

The amount the temperature changes for City A = 1°F

The expression for temperature change in City B is -1 + (-3) = -4°F

The amount the temperature changes for City B = -4°F

Calculations and Parameters

Based on the available data:

In City A, the temperature rise from 8 am to  9 am = 9°FIn City A, the temperature drop from 9 am to  10 am = 8°FIn City B, the temperature drop from 8 am to  9 am = 1°FIn City B, the temperature drop from 9 am to  10 am = 3°F

The expression for that represents the temperature change from 8 am to 10 am is, therefore;

For City A

The temperature change from 8 am to 10 am are

8 am to  9 am = +9°F9 am to  10 am = -8°F

Sum, change from 8 am to 10 am = 9 + (-8) = 1°F

For City B

The temperature change from 8 am to 10 am are

8 am to  9 am = -1°F9 am to  10 am = -3°F

Sum, change from 8 am to 10 am = -1 + (-3) = -4°F

Read more about temperature changes here:

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every integer is _______number? an irrational , a natural , a whole , a rational.

Answers

Answer:

every integer is a whole number

simplify the following expressions ( use distributed property )

Answers

Answer:

ax + ab

Step-by-step explanation:

Step 1: Write expression

a(x + b)

Step 2: Distribute a to each term

ax + ab

[tex]\huge\boxed{Hello!}[/tex]

The Distributive Property states that

a(b+c)=ab+ac

Now, let's use this property to simplify the given expression:

a(x+b)

ax+ab

This is our final answer.

[tex]\huge\boxed{\bf{Hope\;it\;helps!}}[/tex]

[tex]\huge\bold{Good\;luck!}[/tex]

[tex]\huge\mathfrak{LoveLastsAllEternity}[/tex]

Solve for x:
X – 6 = 5x – 2
20 points + Brainlist if you answer this question please!

Answers

15?

Step-by-step explanation:

X-6=5x-2
+6 +6

X=5x-2
-5x

X=-2

Please help 6th grade math answer b

Answers

Answer:

b.  22 feet below sea level.

Hope this helps:)

Step-by-step explanation:

What is this I am so confused please help

Answers

Answer: A

Step-by-step explanation:

When you write exponential form to radical form, the fraction tells us that kind of root it is. Since it is a cubed root, as indicated by the 3 in front of the radical, we know that the fraction will be [tex]\frac{1}{3}[/tex]. If it were to be [tex]\frac{1}{3}[/tex], the entire radical would be to the power of 1. Since the radical is to the power of x, our answer would be [tex]125^{\frac{1}{3}x }[/tex].

can someone help me out pls?

Answers

Answer:

eliminated, the bedtime increases by one minute. ... Description: This activity requires students to tell time to the half-hour (e.g. 4:00, 5:30, 11:30).

Step-by-step explanation:

A ten-pin boeling ball has the volume of about 5374 cm^3. A cadlepin bolwing ball has a volume of about 48 in^3. About how much greater is the volume of ten-pin bowling ball than the volume of candlepin bowling ball.

Answers

Answer: 16122/144= 111.95

Step-by-step explanation: 5374cm^3=16122  48in^3=144= 111.95

If you mix red and white paint in different ratios, you will get different shades of pink paint. If the ratios are equivalent, the shades of the pink will be same.

Answers

Okay? Whats the question? I mean the information you gave is cool :/

PLZZ HELP...i'm ready to go to bed...Where might you see "soda cans" in architecture or nature? (the shape of soda cans?

Answers

A soda cans like a cube with straight on top

Helppp plsssssssssss

Answers

I think the midpoint is (0,3), I’m sorry if it’s wrong

plzz help me with this

Answers

Answer:

84

Step-by-step explanation:

4*6*7/2=84

please help, image is attached.

Answers

Answer:

∠ JKM = 36°

Step-by-step explanation:

Since KM  is the angle bisector of ∠ JKL , then

∠ JKM = [tex]\frac{1}{2}[/tex] ∠ JKL = 0.5 × 72° = 36°

only question one. please answer and show full working out. will reward with brainliest.

Answers

Answer:

48 meters squared or 48m^2

(Both are correct. Whichever you prefer is fine.)

Step-by-step explanation:

The formula to find area is A=height*base

So since the base = 6 and height = 8

Just multiply to combine the two

6*8=48

If you want to show with only numbers write this.

A=b*h

6*8=48

48 meters squared or 48m^2

Solve and graph the absolute value inequality: 2x + 4 > 8. (1 point)
-9-8-7-6
-4
-1
1
2
3
2
5
7
B 9
-9-8-7-6-5
- 2 - 1
O
1
2
5
7
8
9
-9-9-7-6-5-4-3-2-1
1
3
9
1
3

Answers

Answer:

x>2

Step-by-step explanation:

2x+4>8

subtract -4 both sides

2x+4(-4) > 8(-4)

2x >4

divide 2 both sides

2x/2 > 4/2

x > 2

−4−3−2−1 0 1 O --3---4--5--6--7--8--9->

It costs twelve dollars to get in to the fair. Tickets for rides cost extra and are d dollars each.

If Tyra buys 20 tickets, how much would it cost her for the fair?

20 d - $12
$12 d + 20
$12 - 20 d
$12 + 20 d

Answers

Answer:

Answer:

12 + 20d

Step-by-step explanation:

OG fare = 12

Ticket price =d

20 Tickets =20d

Answer:

$12 + 20 d

Step-by-step explanation:

Right of the bat, we know she‘ll pay $12 just to get in to the fair.

If Tyra wanted to buy 20 tickets, it’ll cost her d dollars each. Which is 20 d.

Add 12 and 20(d) together and it’ll determine how much Tyra will spend in total at the fair.

Please write:
1. y=-(x-6)^2+7 vertical compression or stretch
2. y=1/4(x+5)^2 vertical compression or stretch
3. y=4(x+1)^2-6 vertical compression or stretch

Answers

Answer:

1. No vertical compression or stretching but will open up downward.

2. 1/4 vertical stretch

3. 4 vertical compression

Step-by-step explanation:

Any time your dealing with vertical stretching or compression it will always be the number before the parentheses.

So in 1. it is - or basically -1 which means the parabola will be open up downward. And in this problem there is no stretching or compression

2. Is the 1/4 is a vertical stretch

3. 4 is a vertical compression.

Or what also could help is when the number before the parentheses is bigger such as number 4 the closer together the parabola will be. And the smaller the number like 1/4 the wider the parabola will be.

(4-5i)(-2+7i) what is the answer

Answers

Answer:

27 + 38 i

Explanation:

(4 - (5 * i)) * ((-2) + (7 * i)) =

Answer:

[tex] - 35 {i}^{2} + 10i + 20[/tex]

Step-by-step explanation:

-8 + 28 + 10i - 35i^2

-35i^2 + 10i + 20

If 3.x - 7 = 5, then 2x – 1=?

Answers

Answer: -2

Step-by-step explanation:

0.04 divided by 3.3284

Answers

Answer:

The answer is 0.01201778632

Step-by-step explanation:

C. ADD AND SUBTRACT REAL NUMBERS - Find each sum or ditterence.
TELE
1. - 63 +57
4. - 11.4 + (3.8)
7.- +13
14
2. - 21 - (- 46)
5. -7- (-7)
8. 104-9
3. 4.5 + (-10.2)
6
9. 4
+6

Answers

1. Answer: = -6

2. Answer:= 25

3. Answer:= -5.7

4. Answer:= -7.6

5. Answer:= 42

6 . Answer:= 3 r 14

7. Answer:= 1 r 16 r 45

8. Answer := 13 r 36

9. Answer:= 11 r 11 r 24

.

Diane owes $11901.00 to the bank after completing her college degree. With the funds from her new job she is paying back $153.00 per month. Her friend Teresa was given $4906.00 in the bank for college from her family, and she is spending $337.00 per month out of this college fund. If these were continuous functions, after how many months will Diane have the same bank balance than Teresa, rounded to the nearest tenth

Answers

On average, parents pay 10% of the total amount due with borrowed funds; students cover 14% with student loans and other debt-forming sources. The remaining 29% of the cost of college is mostly covered by scholarships and grants won by the student: 17% by scholarships and 11% by grants.

0(-4,1), and Y (-2, 3).

Answers

Answer: If you trying to find the distance [tex]d=\sqrt{16}[/tex] or 4. If you trying to find midpoint its MP= (-3,2)

Step-by-step explanation:Distance formula[tex]d=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{2})^{2} }[/tex]

[tex]d=\sqrt{(-2-(-4))^{2}+(3-1})^{2} }[/tex] -2-(-4)=2     3-1=2

[tex]d=\sqrt{2^{2}+2^{2} }[/tex] 2 squared is 4

[tex]d=\sqrt{4+4}[/tex]  equals [tex]d=\sqrt{16 }[/tex] or 4 simplyfied

Midpoint formula [tex]MP= (\frac{x_{1}+x_{2} }{2}), (\frac{y_{1}+y_{2} }{2} )[/tex]

[tex]MP= (\frac{-4+-2 }{2}), (\frac{1+3 }{2} )[/tex] -4+-2=-6     1+3=4

[tex]MP= (\frac{-6}{2} ), (\frac{4 }{2} )[/tex] -6/2= -3    4/2= 2

[tex]MP= (-3,2)[/tex]

which square root would end up as a rational number 169 square root 250 square root 80 square root 6 square root

Answers

Answer:

250

Step-by-step explanation:

....................

Steve Fossett completed the first solo balloon circumnavigation of the world after 13.5 days. Assuming the balloon travelled along a circle of diameter 12 750 km, roughly what was the average speed of the balloon in km/h?

A) 12
B) 40
C) 75
D) 120
E) 300​

Answers

Answer:

B) 40

Step-by-step explanation:

Average speed = distance/time

Distance = 12750 km

Time = 13.5 days = 13.5*24  hours = 324 hours

Speed = 12750 km /324 h =  39.4 km/h ≈ 40 km/h

Correct option is B) 40

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