What is the domain and range of this function?
f(x) = logs(x - 2) + 1
OA.
domain: x > -2; range: all positive real numbers
OB.
domain: x> 2; range: all positive real numbers
OC. domain: x>-2; range: all real numbers
OD. domain: x> 2; range: all real numbers

Answers

Answer 1

Answer:

Domain = x > 2 , Range = {R}

Step-by-step explanation:

The given function to us is ,

[tex]\implies f(x) = log_{10} ( x - 2 ) + 1 [/tex]

Since logarithm are defined only for positive numbers therefore ,

=> (x - 2) > 0

=> x > 2

Therefore the domain of the function is x > 2 and it can have all positive real numbers .


Related Questions

EMERGENCY!! please answer!!

Answers

I just need some points so I can ask a question but I hope you find your answer!

Help!!! State whether you agree with each of the following statements.
1. A temperature of 35 degrees Fahrenheit is as cold as a temperature of
-35 degrees Fahrenheit.
Agree
Disagree

Answers

Answer:

Step-by-step explanation:

Not true.  A temperature of 35 degrees is 70 degrees higher than -35 degrees Fahrenheit.

The dimensions of a right rectangular prism are 8/5 cm, 10/3 cm, and 7/4 cm. What is the volume of the prism?

Answers

Answer:[tex]9.33\ cm^3[/tex]

Step-by-step explanation:

Given

The dimension of the prism is

Length [tex]l=\frac{8}{5}\ cm[/tex]

width [tex]w=\frac{10}{3}\ cm[/tex]

height [tex]h=\frac{7}{4}\ cm[/tex]

The volume of Prism is  [tex]V=l\times w\times h[/tex]

Putting values

[tex]\Rightarrow V=\dfrac{8}{5}\times \dfrac{10}{3}\times \dfrac{7}{4}=\dfrac{560}{60}=9.33\ cm^3[/tex]

yes yes ye s yes yes help pls

Answers

Answer:

yea its c ಥ⌣ಥ

Step-by-step explanation:

...........

Answer: most likely c.

Iknowimlatebutayofreepoints-✨

How would "the product of 2 and a number plus 13" be written an
algebraic expression? *

Answers

2x+13

X= a number

2(a number) + 13

Thank you!

Answer:

2x+13

Step-by-step explanation:

A random number will be x.

The product means multiple.

Hope this helps =]

Is a proportional function f(x) = 5x linear? Why or why not? Explain with an example.

Answers

Given two variables x and y, y is directly proportional to x (x and y vary directly, or x and y are in direct variation) if there is a non-zero constant k such that

   y = kx,

The relation is often denoted, using the ∝ symbol, as

   y ∝ x

in this case k = 5/1

Gladys has just purchased a new home. The house was priced at $105,000,
and she chose a 40-year mortgage at 5.2%. What will her total cost be?
A. $24,776
B. $297,312
C. $249,739
D. $249,906

Answers

Answer: the answer is C

Step-by-step explanation: AP3X

The total cost is $249,739.

What is Mortgage Rate?

A mortgage rate is the interest rate on a mortgage. Mortgage rates are set by the lender and might be fixed, remaining constant during the length of the loan, or variable, varying with a benchmark interest rate. Borrowers' mortgage rates differ depending on their credit profile.

We have,

P = $105, 000

T = 40 year

R = 5.2%

Using

Monthly payment, P = C[i(1+i[tex])^n[/tex]]/[(1+i[tex])^n[/tex]-1]

P = 105,000 [ 0.052/12(1+0.052/12[tex])^{480[/tex]]/[(1+0.052/12[tex])^{480\\[/tex]-1]

P = 105,000 [ 0.00433 (7.8426)] / [7.8426 -1]

P = 105,000 [ 0.03372318] / (6.8426)

P = $249,739

Learn more about Mortgage Rate here:

https://brainly.com/question/10104170

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question is in picture i forgot how to do this and my sister is working on it rn anyone help?

Answers

Answer:

it's A.

Step-by-step explanation:

so basically an open circle means < or >

a closed circle (the filled in one) means greater/least than or equal to

the sign > with an equal sign under it

hope this helps I forgot too for a minute lol

someone help me pls ‍♀️

Answers

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer: 7 anchors and 2 floats

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Evaluate 2 1/2 × 2 1/2=2^b

Answers

Answer:

solve for b: b=2log2(5)-2

Step-by-step explanation:

There are 15 counters. One-third of the counters are yellow . How many counters are yellow?

Answers

Answer:

5

Step-by-step explanation:

15 counters/3groups=5 counters per group

A parking space shaped like a parallelogram has a base of 17 feet and a height of 9 feet if a mini car 6 feet long and five feet wide parks in the space, then how many square feet of the parking space is not covered by the car

Answers

Answer:

123 cm²

Step-by-step explanation:

First of all, we need to know how exactly to find the area of a parallelogram.

Area of parallelogram= Base*Height

PARALLELOGRAM-

BASE= 17 ft

HEIGHT= 9ft

AREA= 17*9= 153 cm²

The area of parallelogram, will be considered as WHOLE AREA.

Now,

AREA OF MINI CAR-

length= 6 ft

Width= 5 ft

Area= 6*5= 30 ft ²

Square feet uncovere-

153 ft²- 30 ft²= 123 ft²

HOPE IT HELPS!

Please help use 3.14 for pi​

Answers

Volume of cone: pi * r^2 * h/3
3.14 * 3^2 * 8/3
3.14 * 9 * 8/3 = 75.36 cm^3
The solution is B

Hiiooo! Can someone please help ❤️❤️❤️

Answers

Answer:

tan x =  [tex]\frac{f}{e}[/tex]

cos x = [tex]\frac{e}{d}[/tex]

sin x = [tex]\frac{f}{d}[/tex]

Step-by-step explanation:

tan = [tex]\frac{opposite}{adjacent}[/tex]

tan x = [tex]\frac{f}{e}[/tex]

cos = [tex]\frac{adjacent}{hypotenuse}[/tex]

cos x = [tex]\frac{e}{d}[/tex]

sin = [tex]\frac{opposite}{hypotenuse}[/tex]

sin x = [tex]\frac{f}{d}[/tex]

10. Lori plans to buy a book for $15.99, a magazine for $3.45, and a
bookmark for $1.99. What is an estimate of the total cost of the items to
the nearest dollar?
A) $9.00
B) $20.00
C) $21.00
OD) $22.00

Answers

Answer:

C

Step-by-step explanation:

Answer:

21 dollars I think

2) Jill is a pharmaceutical sales-person for Rx 'R
Us. She is paid a monthly salary of $4800
plus 5°. commission on sales. How much yearly
sales does Jill have to generate in order for her
yearly pay to be $50.000?
A) $240.000
B) $250.000
C) $260,000
D) $270,000
E) $280,000

Answers

the answer is C due to process of elimination

A store sells bottles of juice in boxes. Garth bought 18 bottles, Rico bought 36 bottles, and Mai bought 45 bottles. What is the maximum number of bottles in each box?

Answers

Answer:

The maximum number of bottles in each box is equal to 9.

Step-by-step explanation:

Garth bought 18 bottles, Rico bought 36 bottles, and Mai bought 45 bottles. We need to find the maximum number of bottles in each box. It can be calculated using HCF of 18, 36 and 45

The factors of 18 are: 1, 2, 3, 6, 9, 18

The factors of 36 are: 1, 2, 3, 4, 6, 9, 12, 18, 36

The factors of 45 are: 1, 3, 5, 9, 15, 45

Then the greatest common factor is 9.

So, there are 9 bottles in each box.

Help pleaseeeeee!! D:
Find the perimeter of the trapezoid below:

NO CAP PLEASE, TAKE YOUR TIME!!!

Answers

Answer:

Perimeter = 82 units

Step-by-step explanation:

Find:

Perimeter

Computation:

Unknown height = 13 + x

So,

25² = x² + 24²

x = 7

So,

Unknown height = 13 + 7

Unknown height = 20 unit

Perimeter = 25 + 24 + 13 + 20

Perimeter = 82 units

GIVING BRAINLIST!!!
Danielle borrows $2.500 from the bank at 6%
simple interest for 5 years. How much is
Danielle going to pay in interest?
6. (Show work there)
all

Answers

Answer:

150

2.500/6%

not 100% sure tho

Answer:  1 = 2,500 x 0.06 x 5

Which expression has the greatest value?

Answers

Answer:

the last one

Step-by-step explanation:

[tex]\sqrt[3]{64}[/tex] and  [tex]16^{3/2}[/tex] expressions have the greatest value.

What is square root and cube root of a number?

Square root of a number results a number that when square, gives us the previous number.

Similarly, cube root of a number results a number that when cubed, gives us the previous number.

Here, [tex]\sqrt[3]{64}[/tex]² = ∛(64 × 64) = ∛(8 × 8 × 8 × 8 × 8 × 8) = 8 × 8 = 64

[tex]16^{3/2}[/tex] = 4³ = 64

[tex]\sqrt[3]{8^{4} }[/tex] = ∛(8 × 8 × 8 × 8) = ∛(64 × 64) = ∛(4 × 4 × 4 × 4 × 4 × 4) = 4 × 4 = 16

√(16²) = √(16 × 16) = 16

Therefore, [tex]\sqrt[3]{64}[/tex]² and [tex]16^{3/2}[/tex] have the greatest value.

Learn more about square root and cube root of a number here: https://brainly.com/question/9664917

#Tag #SPJ2

Help me with this please!!!!

Answers

Answer:

yes

Step-by-step explanation:

it said it is a perpendicular BISECTOR, H is the mid point of KI, HK = 7

[tex]\huge{\underline{\underline{\boxed{\sf{\red{Answer࿐}}}}}}[/tex]

Yes!

Find the measure of Arc VF.

Answers

Answer:

 120

Step-by-step explanation:

i did it

Which is the graph of the linear inequality 1/2x-2y>-6y

Answers

Answer: Are you high school because GOD that looks hard to do.

Step-by-step explanation:

Determine the y intercept (8gtade

Answers

it's -9 because it's 9 feet below sea level

tell whether the ordered pair is a solution of the system of liner equation (3,2)x+y=5 y-2x=-4

Answers

Given:

The two linear equations are:

[tex]x+y=5[/tex]

[tex]y-2x=-4[/tex]

To find:

Whether the ordered pair (3,2) is a solution of the given system of liner equations.

Solution:

We have,

[tex]x+y=5[/tex]          ...(i)

[tex]y-2x=-4[/tex]        ...(ii)

If both the equations are satisfy by the point (3,2), then this point is the solution of the given system of equations.

Putting [tex]x=3,y=2[/tex] in (i), we get

[tex]3+2=5[/tex]

[tex]5=5[/tex]

This statement is true. It means the point (3,2) satisfies the equation (i).

Putting [tex]x=3,y=2[/tex] in (ii), we get

[tex]2-2(3)=-4[/tex]

[tex]2-6=-4[/tex]

[tex]-4=-4[/tex]

This statement is true. It means the point (3,2) satisfies the equation (ii).

Since both the equations are satisfy by the point (3,2), therefore the point (3,2) is the solution of the given system of equations.

What is the length of one side of a cube that has a surface area of 1,734 square mm?

Answers

Answer:

a = 17

Step-by-step explanation:

1,734 = 6a^2

1,734/6 = 6a^2/6

[tex]\sqrt{289}[/tex] = [tex]\sqrt{a^2}[/tex]

a = 17

Answer:

side = 17 mm

Step-by-step explanation:

1734/6 = 289

√289 = 17 mm

What is:
1/4 (q-12) + 1/4 (q-4)
simplified??

Answers

Answer: -b - 9

Step-by-step explanation:

First, since the a cancel eachother out we are left with (4-b) + (-6-7)

Second, you want to add the -6 and -7 to get -13, so (4-b) - 13

Finally, add the 4 to the negative 13 to get (-b - 9)

Hope this helps.

Algebraic form of an arithmetic sequence is 3/7n+1. What is
the first integer term of this sequence?

Answers

Answer:

First term = 10/7

Step-by-step explanation:

Given:

n term of arithmetic sequence = 3/7(n)+1

Find:

First term

Computation:

First term n = 1

So,

3/7(n)+1

3/7(1)+1

3/7 + 1

First term = 10/7

2a + 3b = 5
b = a - 5

Answers

1st Equation:

Answer for A:

[tex]a = \frac{5 - 3b}{2} [/tex]

Answer for B:

[tex]b = \frac{5 - 2b}{3} [/tex]

2nd Equation:

Answer:

[tex]a = b + 5[/tex]

hope it helps.

distance between (-1,1), (-1, 7)? no need for explanation i just wanna see if my work is right before i turn it in

Answers

Answer:

6

Step-by-step explanation:

use M a t h w a y

Answer:

hey, so on that one guys odd question, you asked how to unfollow people

Step-by-step explanation:

if you go to your profile, where it tells your username, and bio and all that, and click on following. Find his account in the following list and click the little icon on the right! it should change to a different symbol :D Please stay safe girly!

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