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

The picture shows the letter H that is on a store sign.
3 in.
9 in.
3 in.
3 in.
3 in.
3 in.
What is the area of this letter H? Enter the answer in the box.
square inches

Answers

Answer:

[tex]63in^2[/tex]

Step-by-step explanation:

To find the area of the larger, complex figure, divide the shape up into smaller figures, solve for the area of each smaller part and then add up the answers to find the total area. The figure can be divided into two rectangles and a square.

The two rectangles are congruent, their dimensions are the following,

9in x  3in

The area of the square is the following,

3in x 3in

To find the area of both of these figures, one uses the formula,

[tex](length)(width)[/tex]

Substitute in each dimension and solve for the total area by adding up the results,

[tex]((9)(3))+((9)(3))+((3)(3))\\\\=(27)+(27)+(9)\\\\= 63[/tex]

In the figure given below, AB is a diameter of the circle with center o
0
B
D
If m ZABC - 30 and m ZCAD = 140" what is m ZBAD?
600
700
80
1100
Previous
Type here to search
O

Answers

Answer:

∠ BAD = 80°

Step-by-step explanation:

∠ ACB = 90° ( angle in a semicircle )

∠ CAB = 180° - (90 + 30)° ← sum of angles in Δ ABC

∠ CAB = 180° - 120° = 60°

Then

∠ BAD = ∠ CAD - ∠ CAB = 140° - 60° = 80°

Answer:

80° is the answer

Step-by-step explanation:

I just took the test

x + y = 16
5x - 4y = 12

Answers

Answer:

x = 8.44, y = 7.56

Step-by-step explanation:

x + y = 16 (equation 1)

5x - 4y = 12 (equation 2)

(x + y = 16)× 5

(5x - 4y = 12) × 1

9y/9 = 68/9

y = 7.56

Substitute the value of x in equation 1

x + 7.56 = 16

x = 16 - 7.56

x = 8.44

Therefore, x = 8.44, y = 7.56

Answer:

x = 76 / 9 [ 8 (4 / 9) = [tex]8.\bar{4}[/tex] ]

y = 68 / 9 [ 7 (5 / 9) = [tex]7.\bar{5}[/tex] ]

__________________

Step-by-step explanation:

There are several methods that can be used to solve systems but in this situation, it is generally easier to cancel out a variable by adding the system of equations together.

This is how it's done:

x + y = 16

5x – 4y = 12

__________

4 ( x + y = 16 )

+ 5x – 4y = 12

[Multiplying the entire equation by 4 to cancel out the y because 4y – 4y = 0]

___________

4x + 4y = 64

+ 5x – 4y = 12

__________

9x = 76

÷9 ÷9

[Dividing by the coefficient of 9x in x to get x]

______

x = 76 / 9.

_______

Now that we have the x variable, you can simply substitute that quantity into x + y = 16 to solve for y.

So:

x + y = 16

[substituting the value of x into the equation]

(76 / 9) + y = 16

[Creating a common denominator that

can be canceled out]

(76 / 9) + (9y / 9) = (144 / 9)

76 + 9y = 144

[Subtracting 76 from both sides to isolate 9y]

–76 –76

__________

9y = 68

÷9 ÷9

[Dividing both sides by the coefficient of 9y in y to get y]

_________

y = 68 / 9

_________

We can also verify that these variables have the correct value because:

x + y = 16

5x – 4y = 12

(76 / 9) + (68 / 9) = 16

5(76 / 9) – 4(68 / 9) = 12

__________________

(76 + 68 / 9) = 16

(380 / 9) – (272 / 9) = 12

___________________

144 / 9 = 16

(380 – 272 / 9) = 12

__________________

144 / 9 × 9 = 16 × 9

108 / 9 = 12

__________________

144 = 144 ✓

108 / 9 × 9 = 12 × 9

_________________

144 = 144 ✓

108 = 108 ✓

62c + 86 = 32

A. -1.90

B. -.87

C. .35

D. 4.63

Answers

Answer:B

62ç=32-86

62c=-54

C=0.87

What is the value of X?

Answers

Answer:

It is 23

Step-by-step explanation:

BC= FE

(x-4)=19

Therefore x= 23

How do you write 3x to the -5 power using only positive exponents?

Answers

Negative:

(3x)^-5

Positive:

(1/3x)^5



Find the equation of a line through the coordinate (3, -2) and parallel to the line represented y = 1/2x - 2.

Answers

Answer:

y=1/2x-7/2

Step-by-step explanation:

Since the line is parallel, we know that the slope is the same as the equation given: 1/2. So you just plug in the coordinates for x and y. So it would be -2=1/2(3)+b because we don't know what the intercept is for this line. If you simplify the equation you'll get -2=1.5+b. Then, you must isolate B, so you would get -3.5=b or -7/2.

In a museum there is a sculpture in the shape of a cylinder. The cylinder has a diameter of 12 feet and a height of h feet. Which equation can be used to find V, the volume of the cylinder in cubic feet? Group of answer choices

Answers

Answer:

Volume of the cylinder =

= 36πh cubic feet

= 113.1h cubic feet

Step-by-step explanation:

In a museum there is a sculpture in the shape of a cylinder. The cylinder has a diameter of 12 feet and a height of h feet. Which equation can be used to find V, the volume of the cylinder in cubic feet? Group of answer choices

The formula for the volume of a cylinder is = πr²h

From the above question:

Diameter = 12 feet

Radius = Diameter/2

= 12 feet/2 = 6 feet

Height = h

Hence:

Volume of the cylinder =

(π × 6² × h )cubic feet

= 36πh cubic feet

= 113.09733553h cubic feet

Approximately = 113.1h cubic feet

Divide these numbers in the given ratios:
a) R450 in the ratio 1:3:1
b)144 kg in the ratio 1:3:5​

Answers

Dont know but mabye someone who is not 8 will know

B is the answer to the question

PLEASE HELP ANSWER ME THIS!!!

Write a function for the indicated transformation.

the function y=5^(x-2) vertically stretched by the factor 3

the function y=7.2^x translated up 8 units

Answers

Answer:

ok mag lazada ka nalang te

I was working on this question and and a bit confused, somebody plz help!! :)

Answers

The answer should be 6s^3 because you add the two powers together since the number (6) is the same

Answer:

36s³

Step-by-step explanation:

Using the rule of exponents

[tex]a^{m}[/tex] × [tex]a^{n}[/tex] ⇔ [tex]a^{(m+n)}[/tex]

Given

6s² × 6s

= 6 × s² × 6 × [tex]s^{1}[/tex]

= 6 × 6 × s² × [tex]s^{1}[/tex]

= 36 × [tex]s^{(2+1)}[/tex]

= 36s³

Question 2 of 10
Which of the following best describes the slope of the line below?
A. Negative
OB. Zero
C. Undefined
o D. Positive

Answers

A. Negative (Line is behind the y axis and anything behind that is negative)

The best describes the slope of the line is,

⇒ Undefined

What is Equation of line?

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

We have to given that;

A line is shown in graph.

Since, In the graph of line, we have;

A straights line is shown and the x - coordinates is same for each point of line.

Hence, By definition of slope,

Slope = undefined

Thus, The best describes the slope of the line is,

⇒ Undefined

Learn more about the equation of line visit:

https://brainly.com/question/18831322

#SPJ7

3/4 contained in 15 please help​

Answers

Answer:

11.25

Step-by-step explanation:

of-contained refers to multiplication

3/4*15

I’m guessing 11 1/4 lemme know if I’m wrong:)

How do snakes get their energy in this food web? A) By consuming toads and mice B) By consuming deer and raccoons C) By consuming grass and deer D) None of the above

Answers

D none of the above

Find a single expression that represents the perimeter of the triangle.
A) x + 1
C) 3x − 1
B) 5x − 3
D) 9x − 3

Answers

Answer:

D

Step-by-step explanation:

Combine like terms

A house was bought for £1000000
It’s value appreciates by 7.5% each year for the first three years, what was its value at the end of the three years

Answers

Answer:

1240000 (3 sig. fig.)

Step-by-step explanation:

1000000x(1.075)^3 ~= 1242296.875 = 1240000 (3 sig. fig.)

Please help me with the answer on this question

Answers

C is the most accurate answer

2.95___2.949 which is greater

Answers

Answer:

Step-by-step explanation:

Put them in your calculator. I think you'll find 2.95 is larger by 0.001

Do it like this 2.95 - 2.949 = 0.001

A home was sold in 2010 for $250,000. Its value
depreciated by 3.4% yearly. What is the value of the
house in 2012?

Answers

Depreciation formula: starting value x (1-rate)^time

250,000(1-0.034)^2 years

250000(0.996)^2= $233,289

The answer is $233,289

Answer:

$233,289

Step-by-step explanation:

250000 *.034=8500

250000-8500=241,500

repeat

help meeeeeeeeee T^T

Answers

Answer:

C) 120

Step-by-step explanation:

Use three times five and minus one times

you will get 12 and multiply by 10

C. 120

or a faster way to solve these is just 150 (total # of students) and multiply by the percent in decimal form which in this case would be 0.80 (because percentage is out of 100, 80% is 80/100, which is 0.80 as a decimal)

150 • 0.8 = 120!!! :)

CAN SOMEONE PLEASE HELP ME

Answers

supplementary i think

Brainliest if correct

Answers

Answer:

B. 24 flights

Step-by-step explanation:

5% of 480 is 24

Can you please help me with this math question umm i think it is 15 points

Answers

Answer:

C) ( -2, 6)

Step-by-step explanation:

y = -3x

y = 5x + 16

-3x = 5x + 16

-8x = 16

x = -2

y= -3(-2)

y = 6

(x,y) ---> ( -2, 6)

Please help!!!
I will mark you brainliest for the correct answer.
Please!!!!

Answers

Answer:

60°

Step-by-step explanation:

A straight line is 180°

<5 is 120°

180°-120°=60°

the answer is 60 degrees

- Select the expression equivalent to (-5x + 3) + (15x + 3).
A) 10x + 6
B) -10x + 6
C 20x + 6
D -20% + 6

Answers

Answer:

10x+6

Step-by-step explanation:

simplify step-by-step.

−5x+3+15x+3

Combine Like Terms:

=−5x+3+15x+3

=(−5x+15x)+(3+3)

=10x+6

Answer:

A) 10x +6

Step-by-step explanation:

Add -5 and 15x.

Add 3 and 3

10x +6

Which of the following expressions is equivalent to 4^-3?

Answers

Answer:

x(12y+4)

Step-by-step explanation:

PLEASE SOMEONE PLEASE HELP ME

Answers

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

Answer: Supplementary angles

Explanation:

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

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

Write an algebraic expression that represents
the following phrase:
The product of 8 and 12

Answers

Answer:

[tex]8*12[/tex]

Step-by-step explanation:

First, the problem asks for an expression; this means that there should be no equal sign. Also, the keyword "product" means that both the terms must be multiplied. So, [tex]8*12[/tex] is the final expression; this equals 96.

Could someone please help me find the missing X? Thank you :))) only if you know.

Answers

Answer:

x = 18[tex]\sqrt{2}[/tex]

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

x² + 9² = 27²

x² + 81 = 729 ( subtract 81 from both sides )

x² = 648 ( take the square root of both sides )

x = [tex]\sqrt{648}[/tex] = 18[tex]\sqrt{2}[/tex] ← exact value

x ≈ 25.5 ( to 1 dec. place )

PLEASE HELP ME

If f(x) = 3x - 6, what is the value of f(-5) ?
A. +9
B. -14
C. -21
D. +2

Answers

i believe it’s A .....
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