If f(x) = log (x/4) and g(x) = 2 log x, find (g – f) (x).

Answers

Answer 1

Answer:

To find (g – f)(x), we need to subtract f(x) from g(x). We can do this by substituting the expressions for f(x) and g(x) into the difference:(g – f)(x) = g(x) – f(x)

= (2 log x) – (log (x/4))We can simplify this expression by using the fact that log a - log b = log (a/b). Applying this fact, we get:(g – f)(x) = (2 log x) – (log (x/4))

= log ((x^2) / (x/4))

= log (4x)Therefore, (g – f)(x) = log (4x).

Step-by-step explanation:

Answer 2

Step-by-step explanation:

To find (g – f)(x), we can subtract f(x) from g(x):

(g – f)(x) = g(x) – f(x)

= 2 log x – log (x/4)

Using the logarithm identity log a - log b = log (a/b), we can rewrite the expression as:

(g – f)(x) = log x^2 - log (x/4)

= log (x^2/(x/4))

= log (4x)

Therefore, (g – f)(x) = log (4x).


Related Questions

∠3 and ∠6 are alternate interior angles. If m∠3 = 75, what is the measure of ∠6
a. 15°
b. 75°
c. 105°
d. 180°​

Answers

Answer:

B. m<3 = m<6 = 75degrees

Step-by-step explanation:

First you must understand that in geometry, the alternate interior angles are equal

Hence if ∠3 and ∠6 are alternate interior angles, then <3 = <6

Given that m<3 = 75 degrees

m<6 will also be 75 degrees since both angles are equal

2. P337. 23. A large box contains 10,000 ball bearings. A random sample of 120 is chosen. The sample mean diameter is 10 mm, and the standard deviation is 0.24 mm. True or false: (a) A 95% con dence interval for the mean diameter of the 120 bearings in the sample is 1 ???? (1:96)(0:24)= p 120. (b) A 95% con dence interval for the mean diameter of the 10,000 bearings in the sample is 1 ???? (1:96)(0:24)= p 120. (c) A 95% con dence interval for the mean diameter of the 10,000 bearings in the sample is 1 ???? (1:96)(0:24)= p 10; 000.

Answers

Answer:

B is True

A, C. D are false

Step-by-step explanation:

Given :

Sample size, n = 120

Mean diameter, m = 10

Standard deviation, s = 0.24

Confidence level, Zcritical ; Z0.05/2 = Z0.025 = 1.96

The confidence interval represents how the true mean value compares to a set of values around the mean computed from a set of sample drawn from the population.

The population here is N = 10000

To obtain

Confidence interval (C. I) :

Mean ± margin of error

Margin of Error = Zcritical * s/sqrt(n)

Margin of Error = 1.96 * 0.24/sqrt(120)

Confidence interval for the 10,000 ball bearing :

10 ± 1.96 * (0.24) / sqrt(120)

Hence. The confidence interval defined as :

10 ± 1.96 * (0.24) / sqrt(120) is the 95% confidence interval for the mean diameter of the 10,000 bearings in the box.

5= 1 over 3(x+7)
What is your answer

Answers

Answer:dddddd

Step-by-step explanation:

evaluate the expression x-9=3 (solve)

Answers

Answer:

x = 12

Step-by-step explanation:

[tex]x - 9 = 3 \\ x = 3 + 9 \\ [/tex]

[tex]\boxed{Answer:{\boxed{\green{x = 12}}}}[/tex]

Nicole received the following scores on her last 10 math assignments.

Answers

Answer: 89

Step-by-step explanation:

right on edge

The graph above is a transformation of the function f(x)=|x|

Write an equation for the function graphed above.

Answers

Answer:

I think that the equation would be = |X - 2|

Step-by-step explanation:

Hope it was helpful :)

The equation for the function graphed above is [tex]g(x) = |x-2| + 1[/tex].

The expression of [tex]g(x)[/tex] is the consequence of translating both horizontally and vertically regarding [tex]f(x)[/tex], which it can be defined by following expression:

[tex]g(x) = f(x - h) + k[/tex] (1)

[tex]f(x)[/tex] - Original function.[tex]g(x)[/tex] - Resulting function.[tex](h,k)[/tex] - Coordinates of the "center" of the resulting function.

If we know that [tex](h,k) = (2, 1)[/tex] and [tex]f(x) = |x|[/tex], then the resulting function is:

[tex]g(x) = |x-2| + 1[/tex]

The equation for the function graphed above is [tex]g(x) = |x-2| + 1[/tex].

What is the area of this shape

Answers

Answer:

252

Step-by-step explanation:

60+61+11

Pls Help!
Aimee wants to order some DVDs from Amazon. Each DVD costs $8.49 and shipping for the entire order is $5. She has only $70 to spend. How many DVDs can she order?

Answers

Answer:

she can buy 13

please brainliest or hear

Answer:

She can order 7 DVDS

Step-by-step explanation:

8.49 x 7 = 59.43

59.43 + 5 = 64.43.

∫(cos3x+3sinx)dx integration​

Answers

(47)83-x (cos7y) + cos34

Answer:

[tex] I = \dfrac{1}{3}sin(3x) - 3cos(x) + C[/tex]

Step-by-step explanation:

We need to integrate the given expression. Let I be the answer .

[tex]\implies\displaystyle I = \int (cos(3x) + 3sin(x) )dx \\\\\implies\displaystyle I = \int cos(3x) + \int sin(x)\ dx [/tex]

Let u = 3x , then du = 3dx . Henceforth 1/3 du = dx .Rewrite using du and u .

[tex]\implies\displaystyle I = \int cos\ u \dfrac{1}{3}du + \int 3sin \ x \ dx \\\\\implies\displaystyle I = \int \dfrac{cos\ u}{3} du + \int 3sin\ x \ dx \\\\\implies\displaystyle I = \dfrac{1}{3}\int \dfrac{cos(u)}{3} + \int 3sin(x) dx \\\\\implies\displaystyle I = \dfrac{1}{3} sin(u) + C +\int 3sin(x) dx \\\\\implies\displaystyle I = \dfrac{1}{3}sin(u) + C + 3\int sin(x) \ dx \\\\\implies\displaystyle I = \dfrac{1}{3}sin(u) + C + 3(-cos(x)+C) \\\\\implies \boxed{\boxed{\displaystyle I = \dfrac{1}{3}sin(3x) - 3cos(x) + C }}[/tex]

Uncle Howard left his only niece 56% of his assets according to his will. If his totaled assets
totaled
$564,000, when he died, how much will his niece inherit?

Answers

Answer:

$315,840.00

Step-by-step explanation:

$564,000 x 0.56 = $315,840.00

Answer:

$315,840

Step-by-step explanation:

56% of 564,000 is this

Help Asap
Find the value of x. Round to the
nearest tenth.
35
16
X
X
= [?]

Answers

Answer:

please try sending a photo so it would make more sense

what is the value of x? Hiking trails oak trail 125 degrees. pine trail x degrees. ash trail.​

Answers

The value of x is 55.

Determine whether the System of equations 3x+y=-5; 3y+15=-9x

Answers

Answer:

Infinitely many solutions.

Step-by-step explanation:

The given system of equations are :

3x+y=-5 ...(1)

3y+15=-9x

y+5 = -3x

or

3x+y = -5 ....(2)

Here, [tex]\dfrac{a_1}{a_2}=\dfrac{b_1}{b_2}=\dfrac{c_1}{c_2}[/tex]

It means, two lines are coincident. It means they have infinitely many solutions.

Why is it that every time I ask a question either it never gets answered or just gets met with spam or someone sending me gross images?

Answers

Answer:

That is what happens to me, I am asking a question right now and like people say like "Sorry don't want to be mean but no one wants to do it" so I am really not sure.

Step-by-step explanation:

Drag the dollar amounts and drop them next to the
corresponding budget categories.
(You can use the calculator below for help.)
Asking again because this is the last thing I need to do for school please don’t send sketchy links the answer

Answers

Answer:

utilities 237

transportation 260

debt 331

phone 142

medical 95

misc  166

the other questions were correct you have the formula just trust yourself

Step-by-step explanation:

Monthly saving is $213.

Monthly utilities is $237.

Monthly transportation is $260.

Monthly debt repayment is $331.

Monthly phone, cable, internet expneses is $142.

Monthly medical expenses is $95.

Monthly miscellaneous is $166.

What are the budget cateogries?

Percentage can be described as the fraction of a number that is expressed as a number out of hundred.

Leslie's monthly saving : 9% x $2366.10 = $213

Leslie's monthly utilities : 10% x $2366.10 = $ 237

Leslie's monthly transportation : 11% x $2366.10 = $260

Leslie's monthly debt repayment : 14% x $2366.10 = $331

Leslie's monthly phone, cable, internet expneses :6 % x $2366.10 = $142

Leslie's monthly medical expenses 4% x $2366.10 = $95

Leslie's monthly miscellaneous : 7% x $2366.10 = $166

To learn more about percentages, please check: https://brainly.com/question/25764815

Which drawing appears to be congruent to the given triangle? 1) A) B) C) D) Hover over answer image to enlarge​

Answers

I think the answer will be (B)
I hope it helps goodluck

Using the graph, determine the equation of the axis of symmetry.

Answers

Answer:

One Point I believe

Step-by-step explanation:

A bike has a diameter of 10 in. What is the circumference of the wheel?

Answers

The circumference would equal to 31.4 rounded to the tenth place or 31.42. 10 times pie= 31.4 or 31.42

Howard polled a large sample of individuals to find the percentage of students who are males and the percentage of
students who are females. Which of the following should be used to display the given categories of data?
Select the correct answer below:
- stem-and-leaf plot
- bar graph
-line graph
-dot plot

Answers

The answer is a bar graph.

Answer:

Either a pie chart or a bar graph

Step-by-step explanation:

THIS THE CORRECT ANSWER

Help thank you!............​

Answers

Answer:

16

Step-by-step explanation:

6+6 = 12

2+2 = 4

12+4 = 16

The graph of a linear function is shown on the coordinate grid.
What is they y-intercept of the graph of the linear function?

Answers

Answer:

y=-6

Step-by-step explanation:

just look at the bottom and yahhhh

What is the word form of the number 43.06? A forty-three and six B forty-three and six tenths c forty-three and six hundredths D forty-three and six thousandths​

Answers

it is C forty-three and six hundredths.

Stacy opens an account with a deposit of $100. She deposits an additional $25 every week after opening the account. Determine how much money will be in her account after 15 weeks.

Answers

Answer:

$450

Explanation:

after 15 weeks, stacy would have deposited a total of $25 × (15 - 1) = $350. (remember to subtract 1 from the 15 weeks since she did not deposit $25 during the week she opened the account, but only after that.)

now, we need to add this to the original deposit: $100 + $350 = $450.

therefore, after 15 weeks, there would be $450 in her account.

i hope this helps! :D

Can someone please help me with this

Answers

Please I don’t have an answer to this okay but trust me do this, this way

Know what shape of the given shape ( triangle or square)
Area is adding all side
Always in (M^2 or Ft^2)

5th grade math. correct answer will be marked brainliest

Answers

Answer: C and for the bottom is 3*3/8=9/8=1 1/8

Step-by-step explanation: hoped this helped :)

PLEASE HELP IM STUCK
with explanation pleaase ​

Answers

Answer:

안녕하세요

Step-by-step explanation:

안녕하세요 어떻게 우리는 오늘 oM입니다g

I need help with this lol

Answers

Answer:

1350

Step-by-step explanation:

multiply

In the figure, Line a is parallel to line b. Name the angles congruent to angle 3.

helppp it’s due today

Answers

Go with what u think will help u

HELP ME PLSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSS URGENTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTT

Answers

9514 1404 393

Answer:

  90 m²

Step-by-step explanation:

The given linear dimensions have the ratio ...

  red/blue = (6 m)/(4 m) = 3/2

The ratio of areas is the square of the ratio of the linear dimensions:

  (red area)/(blue area) = (3/2)²

  S = (blue area)(9/4) = (40 m²)(9/4)

  S = 90 m²

Find the surface area of a cylinder with a base diameter of 10 in and a height of 8 in.

Answers

Answej hhjb hgygvhgvhgvhgvhvhgvhvhvgh

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