Consider a function f(x) such that f(5x) =x-5/5x-1. Find f(x) and hence write down the domain of f(x).​

Answers

Answer 1

9514 1404 393

Answer:

f(x) = (x -25)/(5x -5)x ≠ 1

Step-by-step explanation:

To find f(x), you can replace x in the given function with (x/5).

  f(5(x/5)) = (x/5 -5)/(5(x/5) -1)

  f(x) = (x/5 -5)/(x -1)

  f(x) = (x -25)/(5(x -1))

  f(x) = (x -25)/(5x -5)

The only domain restriction is that x cannot make the denominator zero:

  x cannot be 1. (The domain is all real numbers except 1.)


Related Questions

find the Sum of two consecutive odd numbers plus eighteen is 170

Answers

Answer:

75, 77

Step-by-step explanation:

Let the first odd number = 2x -1

Let the second odd number = 2x + 1

2x - 1 + 2x + 1 + 18 = 170           Combine like terms on the left.

4x + 18 = 170                             Subtract 18 from both sides.

4x = 170 - 18                             Combine like terms on the right

4x = 152                                     Divide by 4

4x/4 = 152/4

x = 38

2 * 38 - 1 = 75

2 * 38 + 1 = 77

Find the slope of the line

Answers

Your answer is b. -1

the line is going down so it's negative and it's going down one grid block each time it goes down

What is the value of -3(7+5)
+9(2)?
0-6
-2.
O 14
0 22

Answers

-3(7+5) 3
———-


7+5= 12

-3 x 12 = 36

3x3 = 9

36/9

+9 (2) = 18

36 = 4 wholes

18 + 4 = 22

Of course, I’m not 100% sure if it’s correct. But it’s what I got.

Write the explicit formula for the arithmetic sequence 11, 14, 17, 20, . . . What is term number 54 in this sequence?
Answer:

Answers

Answer:

15 or 16. 54 is not listed.

Step-by-step explanation:

pretend that 11 is 0. that means 54 is 43.

then you do 43 divided by 3 or 43/3  

but looks like the number 43 isn't divisible. it is 14.33333 repeating decimal.

Same if you really use your time and count. So i dont know if u meant 53 it will be 53 if you meant 56 it will be 16.

Answer:

see explanation

Step-by-step explanation:

The explicit formula for an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 11 and d = a₂ - a₁ = 14 - 11 = 3, then

[tex]a_{n}[/tex] = 11 + 3(n - 1) = 11 + 3n - 3 = 3n + 8

Thus

a₅₄ = 3(54) + 8 = 162 + 8 = 170

Solve the inequality for x. -13 > 3x-7 Simplify your answer as much as possible. . D< DD>D OSD D2D 8 х a​

Answers

Answer:

-2>x

Step-by-step explanation:

-13>3x-7

+7       +7

-6>3x

/3   /3

-2>x

Which of these is a lower price than 6 for $9?

5 for $8
5 for $8

7 for $10
7 for $10

10 for $16
10 for $16

4 for $7

Answers

Answer:

4 for $7

Step-by-step explanation:

step one: 6 divide by 9 is 0.67

step two: 4 divide by 7 is 0.57, 10 divide by 16 is 0.63, 7 divide by 10 is 0.7, and 5 divide by 8 is 0.63

step three: the answer is 4 for $7 because it is the lowest price

Answer:

4 for 7 I did it like 4 days ago and got it correct

A bank loans a customer $87,000 for a period of 15 years. The simple interest rate of the loan is 9.2%. What is the total amount that the customer will need to pay the bank over the 15 years?

Answers

Answer:

h. 207, 060

Step-by-step explanation:

Answer:

I= 120,060

Step-by-step explanation:

formula I=prt

Interest:

Principal: 87,000

rate:9.2% = 0.092

time: 15 year

I= 87,000(0.092) (15)

I= 87,000 (1.38)

I= 120,060

Michael cycled a distance of miles in hours. What is his cycling unit rate in miles per hour?

Answers

Answer:

69,420

Step-by-step explanation: Give more details

what is the distance lol


A bag contains 25 marbles. Some are red and the rest are black. There are 4 red marbles per black marble,
a. How many red marbles are in the bag?

Answers

Answer:

20 red marbles

Step-by-step explanation:

20 red marbles. I know this because there is 20 red marbles in the jar

solve (x^3-4x)(2x^2-3x)​

Answers

Answer:

= x^2 ( 2x^3- 3x^2 - 8x + 12)

Step-by-step explanation:

(x^3-4x) (2x^2-3x)

= x^3(2x^2-3x) -4x(2x^2-3x)

= 2x^5-3x^4-8x^3+12x^2

= x^2 ( 2x^3- 3x^2 - 8x + 12)

Please help me! (Graphs)

Answers

f(8) = 0 in this graph

How can you use a multiplication table to find 16 divide 4?
I will brainliest you if you help me

Answers

Answer: Draw a multipication table that has 4times4

Step-by-step explanation: That way it has 16 in total and its evenly put. Plz mark me brainliest THX!

Answer:

draw a multiplication table to 4 and count the spaces till 16

Step-by-step explanation:

brainliest me

Every year, the drama club sells tickets to the school play. Last year, the club sold 75 tickets. This year, they sold 105 tickets. What percent of last years’ ticket sales were this year’s ticket sales

Answers

Answer:

71.42 %

Step-by-step explanation:

75/105=.7142

.7142 x 100 = 71.42%

Answer:

71.42 %

Step-by-step explanation:

pls answer this pls answer this pls answer this pls answer this pls answer this pls answer

Answers

You got it just think about it’s easy

Answer:

yeah it easy

Step-by-step explanation:

Sarah made a certain number of bracelets for a craft show. Maria made 7 more than Sarah. Julie made 3 times as many as Maria. Which expression represents the total number of bracelets Julie made if Sarah made s bracelets?

Answers

Answer:

Total no of bracelets = 5s+28

Step-by-step explanation:

Let Sarah made s bracelets.

Maria made 7 more than Sarah i.e. 7+s

Julie made 3 times as many as Maria i.e. 3(7+s)

Total no of bracelets made is equal to the sum of the bracelets made by Sarah, Maria and Julie.

Total = s+ 7 + s + 3(7+s)

= 2s+7+21+3s

=2s+3s+21+7

= 5s+28

So, there are (5s+28) bracelets.

10x+50= 5x-25 solve for X​

Answers

Answer:

-15

Step-by-step explanation:

10 x -15 = -150

-150 + 50 = -100

5 x -15 = -75

-75 - 25 = -100

X=-15 you’re welcome!!!!

Irma goes biking every morning. The number of calories she burns during the bike ride depends on the distance she bikes.

c = the number of calories Irma burns during the bike ride
d = the distance Irma bikes

Which of the variables is independent and which is dependent?

Answers

Answer:

D Independent variable

C dependent Variable

Step-by-step explanation:

Answer:dependent=distance she bikes

Step-by-step explanation:it literally tells you in the question that it depends on the distance

What is the quotient of :
14,175 divided by 315

Answers

Answer:45

Step-by-step explanation:

3.) 2x + 4 = -3x - 2; x = 1

Determine if the value of x is a solution to the equation​

Answers

Answer:

x = 1 is not a solution to the equation

Step-by-step explanation:

2x + 4 = -3x - 2            x = 1

2(1) + 4 = -3(1) - 2

2 + 4 = -3 - 2

6 = -5 FALSE

Pizzas are $10 each plus a $2 delivery fee. Is the cost , proportional to the number of pizzas ordered?

Answers

Answer:

the tax is added for the time of the delivery if your question is that yes

Step-by-step explanation:

A local little league has a total of 85 players, of whom 40% are left handed. How many left handed players are there ?

Answers

Answer: 34

Step-by-step explanation:

40 % is written as 0.4.

Multiply 0.4 x 85 (quantity) = 34

Please help The answer choices are
Y=10x-20
Y=x+2
Y=x-20
Y=20-10x

Answers

The Answer should be C.) Y=x-20

-----------------------------------------------------------------------------------------------------------------Have a nice day person!!!

<3

Miri

pls help me post a picture of ur work what is 694 divided by 2

Answers

649 divided by 2 is equal to 347

A jet travels 540 miles in 3 hours. At this rate, how far could the jet fly in 14 hours?

Answers

Answer:

Step-by-step explanation: add the answer

2520 miles because 540 miles divided by 3 hours is 180, which equals the miles per hour. Then 180mph (miles per hour) times 14 hours is 2520 miles

Find two numbers which differ by 4 and whose products is 45​

Answers

Answer:

5, 9

Step-by-step explanation:

let

x= first number

y = second number

x- y= 4( equation 1)

xy=45( equation 2)

From equation 1

x= 4+y( equation 3)

put equation 3 into equation 2

( 4+y)y=45

4y+y^2=45

( y-5)(y+9)=0

y=5,-9

Then put y=5 into equation 3

x=9

Answer:

-9 and 5

Step-by-step explanation:

Let's call the first number N1 and the second number N2.

So, let's call N1 the smaller number and N1=x

Let's call N2 the larger number and N2=x+4.

 X(X+4)=45

x^2+4x=45

x^2+4x-45=0

(x+9)(x-5)=0

X=-9, X=5

What is the average rate of change for the function f(x) = 2x + 19 over the interval 0 sxs 7?
A 2
В.
19
С
2
D
2
19

Answers

Answer:

2

Step-by-step explanation:

Which fraction and decimal forms match the long division problen?
9) 2.000
1 84|
20
18
20
18
O A. 2/9 and 0.2
O B. 9/2 and 0.222
Oc. 2/9 and 0.2 with a line over it
OD. 9/2 and 0.2 with a line over it

Answers

Answer:

B because it is a single digit number with added decimals

Step-by-step explanation:

Answer:

C. It is 2/9 and 0.2 with a line over it.

Step-by-step explanation:

Will give BRAINLIEST for the first correct answer with their steps!

Answers

Answer:

Width = 46 yards, Length=175 yards.

Step-by-step explanation:

Perimeter of rectangle = 2(length) +2(width)

We know that the length is 4width-9, so we can substitute that in for the length.

442= 2(4w-9)+2w, Next distribute

442=8w-18+2w, Now add like terms

442=10w-18, Move 18 to the other side

460=10w, solve for w

width= 46 yards.

Now we have 442=2(length)+2(46), subtract 92 to the left

350=2(length), divide by 2

Length= 175 yards.

Check your work with P=2(175)+w(46)

P=442 yards.

the sliding board is 15 feet long and meets the ground at a 40 degree angle. what is the height of the ladder?

Answers

Answer:

9.6 ft

Step-by-step explanation:

Sin=opposite/hypotenuse

The required height of the ladder is 9.6 feet.

Given that,
The sliding board is 15 feet long and meets the ground at a 40-degree angle.The height of the ladder is to be determined.

What are trigonometric equations?

These are the equation that contains trigonometric operators such as sin, cos.. etc.. In algebraic operation.



Here,
Let the height of the ladder be p
Now, applying trigonometric operations,
sin 40 = p / 15
p = 15 sin40
p = 0.64 * 15
p = 9.6

Thus, the required height of the ladder is 9.6 feet.

Learn more about trigonometry equations here:

brainly.com/question/22624805

#SPJ2

w/4 = -11
please help !!!

Answers

-44 because if u multiply -11 by 4 you get -44 and when divided by 4 you get -11
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