1-3 Function Operations and Composition Jim was given three functions and asked to determine f + (gon). The functions were f (x) = x2 g(x) = 3x + 1, and h(x) = 2x. Jim started by writing the problem as (r + (gon))(x) = x2 + 2(3x + 1). What was Jim's mistake? What is the correct solution? O A Jim omitted the x in h(x): [ + (g = n)) = 7x2 + 2x B. Jim should have added f and g first; ( + (gon)) = 4x2 + 6x + 1 O C. Jim incorrectly performed h og instead of goh: (f + g - h)) = x2 + x + 1. OD D. Jim did not follow the order of operations, I + (g o h)) = x2 + 6x + 2.​

Answers

Answer 1

Answer:

Step-by-step explanation:

Given the functions:

f (x) = x^2

g(x) = 3x + 1

h(x) = 2x

We are to look for  f + (goh)

First we need to get the composite function goh

goh = g(h(x))

g(h(x)) = g(2x)

To get g(2x) we will substitute x in g(x) as 2x as shown below:

Given g(x) = 3x+1

g(2x) = 3(2x)+1

g(2x) = 6x+1

f + goh = x² + (6x +1)

f + goh = x² + 6x +1

Jim wrote goh as 2(3x+1) instead of 3(2x) + 1. The composite function that Jim looked for was hog not goh.

The correct solution is f + goh = x² + 6x +1


Related Questions

2(x + 1) + 4 < - 2x + 6

Answers

Answer:

x < 0

Step-by-step explanation:

Answer:

  x < 0

Step-by-step explanation:

2(x + 1) + 4 < - 2x + 6

2x + 2 + 4 < -2x + 6

2x + 6 < -2x + 6

4x + 6 < 6

4x < 0

x < 0

What are the x and y-intercept of 4x – 8y = 2?

Answers

X int: (1.5,0)

4x - 8(0) = 2
4x = 2
2 / 4x = 1/2

Y int: (0,4)

4(0) - 8y = 2

-8y / 2

3.
Which of these place values is found to the left of 0.001?
ones
hundredths
thousandths
tenths

Answers

Answer:

If you’re talking about the number next to one, it’s the hundredths place. If you’re talking about the number to the left of the period, it’s the tens place.

Step-by-step explanation:

If the Internet consisted of four computers, there would be six possible connections. If it consisted of five computers, there would be ten possible connections. How many connections are possible with twenty computers

Answers

Answer:

80 possible connections

Step-by-step explanation:

Let the constant k = change in possible connection/number of computers

change in possible connections = 10 - 6 = 4

change in number of computers = 5-4 = 1

k = 10-6/5-4

k = 4/1

k = 4

Since k = possible connections/number of computers:

4 = possible connections/20

possible connections = 4 * 20

possible connections = 80

Hence the possible number of connections with 20 computers are 80 connections

What’s 2 - (-6) and -8 - (-5)?

Answers

Answer:

2 - (-6) = 8

-8 - (-5) = -3

It's simple math.

Steve types at a rate of 45 words per minute. He writes an equation relating the number of words he can type, w, to the number of minutes he spends typing, m. w = 45m Xena doesn’t know the number of words per minute that she can type. But she recorded the time it took her to type different numbers of words in this table.

minutes words
02 100
04 200
08 400

Answers

Answer:

50 words per minute

Step-by-step explanation:

If in 2 minutes she can type 100, that means you must divide 100 by 2. 100 divided by 2 equals 50. You can check this by doing the same with 200 words in 4 minutes by dividing 200 by 4 to get 50. Xenas equation would be w=50m

Her average typing rate is 50 words per minute.

Here,

To find out Xena's typing rate (words per minute), we can use the data she recorded in the table.

We can calculate her typing rate by dividing the number of words she typed by the time it took her to type those words.

Let's perform the calculations:

For the first row (2 minutes, 100 words):

Typing rate = Words / Time

= 100 words / 2 minutes

= 50 words per minute

For the second row (4 minutes, 200 words):

Typing rate = Words / Time

= 200 words / 4 minutes

= 50 words per minute

For the third row (8 minutes, 400 words):

Typing rate = Words / Time

= 400 words / 8 minutes

= 50 words per minute

As we can see from the calculations, Xena's typing rate is consistent at 50 words per minute for all the recorded data.

Therefore, her average typing rate is 50 words per minute.

To learn more on division click:

brainly.com/question/21416852

#SPJ4

Giving F (x) =-3x +4,find f (-6).

Answers

Answer:

22

Step-by-step explanation:

we plug -6 to x which would get us -3(-6) + 4

-3(-6) = 18 + 4 = 22

PLZ mark brainliest :DD

Answer:

22

Step-by-step explanation:

1. -3 times -6 would be +18.

2. 18+4=22

√2y-5+8=4 solve for y.

What is the root? If there is no root, choose none

Answers

Answer:

y = 1/2

Step-by-step explanation:

I hope this helps you with the question

find the angle of y dasdwadasdaw

Answers

Answer:

C

Step-by-step explanation:

Since angles x and y lie on a single straight line,

∠x +∠y= 180° (adj. ∠s on a str. line)

Given that ∠x= 42°,

42° +∠y= 180°

∠y= 180° -42° (-42° on both sides)

∠y= 138° (simplify)

Thus, option C is correct.

help! this is due today! 1st gets brainiliest!
What is ethical monotheism and how does it relate to Judaism?
EXPLAIN

Answers

Answer:

Ethical monotheism is a form of exclusive monotheism in which God is the source for one standard of morality, who guides humanity through ethical principles.

Step-by-step explanation:

Round 75.64 to the nearest ten

Answers

Answer:

76

Step-by-step explanation:

Garrett already has 5 bracelets made to sell at the craft fair. After working for 3 hours, he has a total of 11 bracelets made to sell at the craft fair. Write an equation in slope-intercept form where x represents the amount of time he spent making bracelets and y represents the number of bracelets made. How could you use the equation to predict the number of bracelets he will have made if he works for 5 hours?

A. y = 3x + 11; substitute 5 for x
B. y = 11x + 5; add 5 to the value of y
C. y = 5x + 2; add 5 to the value of y
D. y = 2x + 5; substitute 5 for x

Answers

Answer:

y = 2x + 5; substitute 5 for x

Answer:

Answer Choice D. He will make 10 bracelets in 5 hours (for the other question).

Step-by-step explanation:

He makes 2 braclets and hour so the slope is 2. He already has 5 bracelets so the y-intercept is 5.

Which is greater 20% of 200 or 10%of 100

Answers

Answer:

first one is greater

1=40&2=10

Answer:

20% of 200

Step-by-step explanation:

20% of 200 is 40 while 10% of 100 is 10.

McKenzie told her friend, “If you increase my age by 8, multiply that quantity by 1/2 , and then subtract 6, you get 5.” Write an equation that matches McKenzie’s description using x as the variable.


a) x+8x1/2-6=5

b)1/2x+8-6=5

c)1/2(x+8-6)=5

d)1/2(x+8)-6=5

Answers

Answer:

D

Step-by-step explanation:

This follows PEMDAS

This first thing to do is add 8, so this must be P aka parentheses.

A and B are eliminated

Next is to M aka mutiply by 1/2

This eliminates C because if -6 was in the parentheses this would mean it is the next step as () takes priority. And this is not the case

I hope Im correct!

Which equation describes a relationship such that x= 0 must be excluded from the domain? ​

Answers

Answer:

a number divided by x so 2/x 3/x 4/x 5/x

Step-by-step explanation:

Help help help help help plaseeee

Answers

Answer:

-8

Step-by-step explanation:

6.3 x 77 show your work please ​

Answers

Answer:

485.1

Step-by-step explanation:

           6 . 3

x       7 7    

+       4 4 . 1

+    4 4 1 . 0

     4 8 5 . 1

basically break up 77 to 70 + 7

multiply 6.3 with both parts of the 77 (70 + 7):

70 x 6.3 = 441

 7 x 6.3 = 44.1

then add those two sums together to get 485.1

QRS is right triangle. Select the correct similarity statement. STR~TQR STR~RST STR~SQR STR~RTQ

Answers

Answer:

∆STR~∆RTQ is correct I am pretty sure

Answer:

Option four

Str ~ rtq

Step-by-step explanation:

Rewrite using a single positive exponent.

9^-3/9^6

(^ stands for exponents)

(explanations please if you don’t mind

Answers

Answer:

Its 9^-9

Step-by-step explanation

Because 9^-3 is on top, you have to take it to the bottom - this makes it positive. Now you have 1/(9^3*9^6). This give you 1/9^9 - or in other words 9^-9

What is the perimeter of a polygon with vertices at
(-3, 1), (5, 1), (-3, 4), (5, 4)? Show your work.

Answers

Answer:

Answer:8x3=24

Step-by-step explanation:

8 across the x axis and

3 across the y axis

8x3=24

What is a equivalent ratios 3:11

Answers

Answer:

6:22

9:33

12:44

Step-by-step explanation:

Answer:

15:55

Step-by-step explanation:

3x5 equals 15 and 11x5 is 55

please help meeeee 100 points!!!!!!!!!!!!!!

Answers

Its 12.92 and this is only 5 points

Answer:

when you will give us 100 points we will be giving your answers okay dear

Johnny has a math test on Friday, an English test on Tuesday, and a social studies quiz on Wednesday. Over the weekend, he read 20 books. He needed to read 5 books for his English test and 2 books for his social studies quiz. A week later, Johnny received a 92 on his math test, 84 on his English test, and a 90 on his social studies quiz. What percent of books did Johnny read that were for social studies? Round to the nearest whole number (percentage). Do not include % in your answer. For example, if the answer is 19%, enter 19.

Answers

Answer: The percent of books did Johnny read that were for social studies=10%

Step-by-step explanation:

Given: Total books he read -= 20

Number of books for social studies = 2

The percent of books did Johnny read that were for social studies

[tex]=\dfrac{\text{Number of social studies books}}{\text{Total books}}\times100\\\\=\dfrac{2}{20}\times100\%\\\\=\dfrac{100}{10}\%=10\%[/tex]

Hence, the percent of books did Johnny read that were for social studies=10%

PLEASE HELP WILL GIVE BRAINLIEST. Which of the following describes the function –x4 + 1?

Answers

the answer here is b.

Answer:

The correct answer is-

b. The degree of the function is even, so the ends of the graph continue in the same direction. Because the leading coefficient is negative, the left side of the graph continues down the coordinate plane and the right side also continues downward.

Step-by-step explanation:

I took the test and got it right.

two consecutive whole numbers that √13 lie between

Answers

3 and 4. 3^2=9 and 4^2=16. 13 is between the two.

x − (5 − 3x) ≤ 2x − 1

Answers

x = less than or equal to 2

of the company's
A company receives 1.5% commission on the sale price of each house sold. For each house he sells, James earns
commission. James sells a house for $205,000. How much money will James earn?

Answers

Answer:

$1,025

Step-by-step explanation:

(205000)(.015)/3  =  1025

James will receive or earn $1,025

A farmer uses x lb of fertilizer per acre at a cost of 1.4 per pound, leading to a revenue of R = 700 – 400e -x/100 dollars per acre.
(a) How many pounds of fertilizer should be applied per acre to maximize profit? Write you answer in decimal form rounding to three decimal places
Number
pounds per acre.
(b) What is the maximum profit on a 200 acre farm?
$ Number

Answers

Answer:

The cost can be written as:

C(x) = $1.4*x

The revenue can be written as:

R(x) = $700 - $400*e^(-x/100)

And as you know, the profit is written as the difference between the revenue and the cost:

P(x) = R(x) - C(x)

P(x) =  $700 - $400*e^(-x/100) - $1.4*x

Now we want to maximize this, then we must look at the zeros in the derivate of P(x)

dP/dx = P'(x) = (-1/100)*$400*e^(-x/100) - $1.4

The maximum will be when P'(x) = 0.

we can solve:

0 = (-1/100)*$400*e^(-x/100) - $1.4

$1.4 = (-1/100)*$400*e^(-x/100)

(-100)*$1.4 = $400*e^(-x/100)

$140 = $400*e^(-x/100)

($140/$400) = e^(-x/100)

0.35 = e^(-x/100)

Now we can apply the Ln() in both sides and get:

ln(0.35) = ln(e^(-x/100) ) = -x/100

-ln(0.35)*100 = x = 104.98

You should apply 104.90 pounds of fertilizer.

b) The profit per acre, is:

P(x) = $700 - $400*e^(-x/100) - $1.4*x

Then if you have 200 acres, the profit will be:

200*P(x) = 200*($700 - $400*e^(-x/100) - $1.4*x)

and the maximum profit is whit x = 104.98 pounds, then:

200*P(104.98) = 200*($700 - $400*e^(-104.98/100) - $1.4*104.98) = $82,604.98

Adam poured 1 liter 460 milliliters of water into a beaker. Over three days, some of the water evaporated. On the fourth day, 979 milliliters of water remained in the beaker. How much water evaporated?

Answers

Answer:

481

Step-by-step explanation:

On Tuesday, a local hamburger shop sold a combined total of 596 hamburgers and cheeseburgers. The number of cheeseburgers sold was three times the number of hamburgers sold. How many hamburgers were sold on Tuesday?

Answers

Answer:

they sold about 199 hamburgers

Step-by-step explanation:

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