Consider function f and g
f(x)=x^2+7x
g(x)=3x-1

what is the value of (f•g)(x)

Consider Function F And G F(x)=x^2+7xg(x)=3x-1what Is The Value Of (fg)(x)

Answers

Answer 1

9514 1404 393

Answer:

  B.  9x² +15x -6

Step-by-step explanation:

The composition operator means that function f is applied to function g:

  [tex](f\circ g)(x)=f(g(x))=f(3x-1)\\\\=(3x-1)^2+7(3x-1)\\\\=9x^2-6x+1+21x-7\\\\\boxed{(f\circ g)(x)=9x^2+15x-6}\qquad\textbf{matches B}[/tex]


Related Questions

f (x) = 3x + 5
Solve for x=5

Answers

Look at the attachment for work

*PLS HELP MEE* There are 80 servings in a box of cereal. Each serving size is 1/8 of a cup of cereal. If one person eats 1 cup and another eats 3 cups, how many cups are left in the box of cereal?

Answers

Answer:

2 cups left in the ceral box!

Step-by-step explanation:

please just trust me i worked it out and got the answer and you just have to trust me please! MAY I HAVE BRAINLIEST IF ITS RIGHT? HAVE A GREAT DAY!!!

2. What is the equation in point-slope form of the line that passes through the point
(4,-5) and has a slope of = ?
3

Answers

Answer:

y+5=[tex]\frac{2}{3}[/tex](x-4)

Step-by-step explanation:

Which one should I choose

Answers

Answer:

-32

Step-by-step explanation:

((−4)(4))(2)

=−32

Answer:

-32

Step-by-step explanation:

hope this helps you out

write the slope intercept form of the equation of each line​

Answers

The slope intercept it (0,4)
Slope intercept is 0,4

Which statement best describes the behavior of the graph of 3x − 4y = 8?
A. The graph is a vertical line.
B. The graph is a horizontal line.
C. The graph is rising as x increases.
D. The graph is falling as x increases.

Answers

Answer:

B. The graph is a horizontal line.

Step-by-step explanation:

brainest plz

Which system of equations is represented by the graph?

Answers

I believe the answer is D

PLEASE HELP ILL GIVE BRAINLIEST!!

Answers

180 deg rotation about the origin and a translation 2 units left

The length of a rectangle is 2 feet less than 4 times the width. The area is 256ft2. Find the dimensions of the rectangle.

Answers

Answer:

[tex]W = 8.255[/tex]

[tex]L = 31.02[/tex]

Step-by-step explanation:

Let L = Length and W = Width.

So:

[tex]L = 4W - 2[/tex]

[tex]Area = 256[/tex]

Required

Find L and W

Area is calculated as:

[tex]Area = L * W[/tex]

Substitute 4W - 2 for L and 256 for Area

[tex]Area = (4W - 2) * W[/tex]

[tex]256 = (4W - 2) * W[/tex]

Open Bracket

[tex]256 = 4W^2 - 2W[/tex]

Divide through by 2

[tex]128 = 2W^2 - W[/tex]

Equate to 0

[tex]2W^2 - W - 128 = 0[/tex]

An equation [tex]aw^2 + bw + c = 0[/tex] has the roots

[tex]W = \frac{-b\±\sqrt{b^2 - 4ac}}{2a}[/tex]

Where

[tex]a = 2[/tex]   [tex]b = -1[/tex] [tex]c = -128[/tex]

So:

[tex]W = \frac{-(-1)\±\sqrt{(-1)^2 - 4*2*-128}}{2*2}[/tex]

[tex]W = \frac{1\±\sqrt{1 +1024}}{4}[/tex]

[tex]W = \frac{1\±\sqrt{1025}}{4}[/tex]

[tex]W = \frac{1\± 32.02}{4}[/tex]

[tex]W = \frac{1+ 32.02}{4}[/tex] or [tex]W = \frac{1 - 32.02}{4}[/tex]

[tex]W = \frac{33.02}{4}[/tex] or [tex]W = \frac{-31.02}{4}[/tex]

[tex]W = 8.255[/tex]  or [tex]W = -7.755[/tex]

But the dimension can not be negative.

So:

[tex]W = 8.255[/tex]

Recall:

[tex]L = 4W - 2[/tex]

[tex]L = 4 * 8.255 - 2[/tex]

[tex]L = 31.02[/tex]

In September, Shalee had some money in her bank account. In October she earned $48.24 and put it in her account. In November she spent three-fourths of the money in her bank account on a dress. If she spent $68.28 on the dress, how much money did she have in her account in September?

Answers

Answer:

x = $42.8

Step-by-step explanation:

Let

Amount of money shalee has in Sept = $x

Shalee October earnings = $48.24

Total money = $x + $48.24

She spent 3/4 of the money on dress

3/4 of (x + 48.24) = $68.28

3/4 * x + 48.24 = 68.28

3/4x + 144.72/4 = 68.28

3/4x + 36.18 = 68.28

3/4x = 68.28 - 36.18

3/4x = 32.10

x = 32.10 ÷ 3/4

= 32.10 × 4/3

= 128.4/3

= 42.8

x = $42.8

if f(x)=x^2+4x-12. find f(2)

Answers

Answer:

f(2) = 28

Step-by-step explanation:

By evaluating the function in x = 2 we will see that f(2) = 0.

How to evaluate a function?

Here we have:

[tex]f(x) = x^2 + 4x - 12[/tex]

and we want to find f(2), so we need to evaluate in x = 2.

To do this, we just replace the "x" in the function by the number 2, we will get:

[tex]f(2) = 2^2 + 4*2 - 12 = 4 + 8 - 12 = 0[/tex]

So we can conclude that f(2) = 0.

If you want to know more about evaluating:

https://brainly.com/question/4344214

#SPJ2

in the sequence 11, 13,15,17 the first term is and the 4th term is ?

PLS HELP

Answers

Answer:

Isnt the

Step-by-step explanation:

Isnt the first term 11

And the 4th 17 lol

sammy and two friends rented three life jackets and a sailboat . the life jackets were $3 each and boat was $12 an hour . The total cost was $81 . for how many hours did they rent the sailboat

Answers

3 life jackets  $3.00= $9.00

1 sailboat  $12.00/hr

Total cost = $93.00

93-9= 84

84/12= 7

7 hours

Adventure Time
Come on grab your friends
We'll go to very distant lands
With Jake the Dog and Finn the Human
The fun will never end, it's Adventure Time!

Answers

Answer:

so i graphed it and it does end

Step-by-step explanation:

Answer:

Adventure time is a great show they shouldve made more episodes

Step-by-step explanation:


You make $443 per week, and have claimed five exemptions. How much money will be withheld from you in a year?

Answers

Answer:

Choice A. $2,392 is the correct answer

Choice A is the correct one

i have a question, what is a number increased by twelve? in expression symbols . . .

Answers

Answer:

well it would be +12, does that answer your question?

Combine like terms:
8b + 8 -4b -3

Answers

The answer is 4b + 5. Hope this helps
4b+5

Yeah, good luck with the rest of your schoolwork :0

Find the sales tax. Then find the total cost of the item.
Sales Tax
Selling Price Rate of Sales Tax Sales Tax
$50.00
3%
?

Answers

Answer:

4.50

Step-by-step explanation:

Answer:

Sales tax:1.50, total cost:51.50

Step-by-step explanation:

price x sales tax rate = sales tax

50 x .03 (3%) = 1.50 sales tax

price + sales tax = total cost of item

50 + 1.50 = 51.50

Lily invested $90,000 in an account paying an interest rate of 4.6% compounded
annually. Assuming no deposits or withdrawals are made, how long would it take, to
the nearest year, for the value of the account to reach $221,200?

Answers

Answer:

20

Step-by-step explanation:

I'm just doing this for points but it is the right answer

Giving brainlest to the correct answer

Answers

Answer:

The percentage of people surveyed that were satisfied with the car is 55%.

Step-by-step explanation:

1,100/2,000=0.55*100= 55%

I know I haven't been on this app for a long time but can ya'll help me

Answers

Answer:

2774

Step-by-step explanation:

start by multiplying 2 by 7, the answer is 14 put the 1 above the 8 in 1387 then put the 4 under the equation, similar to addition. repeat but next time when you multiply 2 by 8 add the 1 (from the previous multiplication) to the answer under and put the 1 from 17 on top of the 3. you get it?

What is the force on a 1000 kg elevator that is falling freely at 9.8 m/sec2

Answers

Answer: The only force on it is its weight, w=9800N

Step-by-step explanation:

Plssss answer ASAP!!!!!!

Answers

Answer:

You do 2 times 5x, the simplify.

Answer: none of these

Step-by-step explanation:

What is the sum of 2x-5x+x+y

Answers

Answer:

-2x + y

Step-by-step explanation:

2x - 5x + x + y

combine all like terms ( x with x and y with y)

-2x + y

Hope this helps!!!

17+(−8)+(−8) CAN YOU HELP GUY pls

Answers

Answer:

1

Step-by-step explanation:

17 + (-8) + (-8) = 17 + (-16)

                      = 1

If two numbers have same sign, then add and put the sign.

So, add (-8)and (-8), the result will have the sign (-).  -16

If two numbers have different sign, subtract and the result will have the sign of the bigger number.

17 and (-16) have different sign and the bigger number sign is +

So, the result is 1

Easy :PP

Answer~

1

Explination~you would start by adding (-8)+(-8)

-8 + -8

=

-16

Then add 17

-16 + 17

=

1

------------------------------------------------------------------------hope I helped!!

HELP!!! I NEED HELP!
The coordinates of the point that is a reflection of Y(-4, -2) across the x-axis are __The coordinates of the point that is a reflection of Y across the y-axis are __

Answers

Answer: Reflection over X axis is (-4, 2) and reflection over the Y axis is (4, -2)

Step-by-step explanation:

Very much need help

Answers

23x+3 and 6x+3 =180
Simplify> 29x+6 =180
Take away 6 each side
29x=180
Divide both sides by 29 and there’s your answer

is there anything after 16a+20 ?

Answers

Answer:

The equivalent expressions are:

[tex]4\left(4a+5\right)=16a+20[/tex]

                [tex]=2\left(8a+10\right)[/tex]

                [tex]=12a+20+4a[/tex]  

Yes, 16a+20 could be further reduced by taking 2 as a common factor.

i.e. 16a+20 = 2(8a+10)

Step-by-step explanation:

Given the expression

[tex]4(4a+5)[/tex]

solving the expression to determine the equivalent expression

[tex]4\left(4a+5\right)[/tex]

[tex]\mathrm{Apply\:the\:distributive\:law}:\quad \:a\left(b+c\right)=ab+ac[/tex]

[tex]4\left(4a+5\right)=4\cdot \:\:4a+4\cdot \:\:5[/tex]

                [tex]=16a+20[/tex]

Taking 2 as the common factor

                [tex]=2\left(8a+10\right)[/tex]

Also

[tex]12a+20+4a = 16a+20[/tex]  

             

Therefore, the equivalent expressions are:

[tex]4\left(4a+5\right)=16a+20[/tex]

                [tex]=2\left(8a+10\right)[/tex]

                [tex]=12a+20+4a[/tex]  

Yes, 16a+20 could be further reduced by taking 2 as a common factor.

i.e. 16a+20 = 2(8a+10)

Find the length of the hypotenuse of the right triangle.
40
048
041
None of the other answers are correct
40
26

Answers

Answer:

Ans. 41

Step-by-step explanation:

By using the formula of pythagoras theorem,

h^2 = p^2+b^2

or, h = sqrt(9^2+40^2)

or, h = sqrt(81+1600)

or, h = sqrt(1681)

or, h = sqrt(41^2)

or, h = 41 #

Evaluate the expression when x = 9.2 and y = 3.4.
5xy

Answers

Answer:

5x9.2x3.4=156.4

Step-by-step explanation:

plug in 9.2 for x and 3.4 for y then multiply

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