What are the domain and range of the logarithmic
function f(x) = log7X? Use the inverse function to
justify your answers.

Answers

Answer 1

Answer:

The domain of f is x > 0.

The range of f is all real numbers.

The domain of the inverse function is all real numbers.

The range of the inverse function is y > 0.

The domain of f is the same as the

range of the inverse function.

The range of f is the same as the

the domain of the inverse function.

Step-by-step explanation:

this is the sample answer, make sure you rewrite in your own words!

Answer 2

The domain and the range of a function are the set of input and output values of the function

The domain and the range of the function are set of real numbers greater than 0

The function is given as:

[tex]f(x) = log_7(x)[/tex]

The above function is a logarithmic function.

From the properties of a logarithmic function, we have:

The x-values are always greater than 0The y-values are always greater than 0

This means that, the domain and the range of the function are set of real numbers greater than 0

Read more about domain and range at:

https://brainly.com/question/10197594


Related Questions

Please help me now plz I promise I will mark you brainliest

Answers

Answer:

C. Outside the circle

I hope this helps

a) -3 · x = -21

b) -7x + 16 = 2x - 20
help pls

Answers

a) x=7, you divide both sides by -3 to get x by itself.

b) x=4, you add 7x to both sides to get all the x on one side, you then add 20 to both sides to get all constants on both sides. lastly, you divide by 9 to get x by itself.
a) -3x=-21
x=-21/-3
x=7

b) -7x+16=2x-20
-7x-2x=-20-16
-9x=-36
x=-36/-9
x=4

If a circle has a diameter of 30 meters, which expression gives its area in
scuare meters​

Answers

Answer:

A = pi (15)^2

Step-by-step explanation:

The diameter is 30

The radius is 1/2 of the diameter

r = d/2 =30/2 = 15

The area of a circle is

A = pi r^2

A = pi (15)^2

A = 225 pi

Answer:B

Step-by-step explanation: 30 is the diameter so we divide it by 2 to get 15 which is the radius. Radius to the power of 2 times pi is how you get area so 15^2 times pie equals area.

Find the first four terms in the sequence an=15+6n.

A. 18, 12, 6, 0

B. 20, 26, 32, 38

C. 21, 27, 33, 39

D. 20, 14, 8, 2

Answers

The first four terms in the sequence an=15+6n are 21, 27, 33, and 39.

The correct option is C. 21, 27, 33, 39

From the question, the equation to calculate the nth term is given which is

an=15+6n.

Now, let a1, a2, a3 and a4 denote the first, second, third and fourth terms respectively.

For the first term, a1

n = 1,

From the given equation, an=15+6n

∴ a1 = 15 + 6(1)

a1 = 15 + 6

a1 = 21

∴The first term is 21

For the second term, a2

n = 2,

From the given equation, an=15+6n

∴ a2 = 15 + 6(2)

a2 = 15 + 12

a2 = 27

∴The second term is 27

For the third term, a3

n = 3,

From the given equation, an=15+6n

∴ a3 = 15 + 6(3)

a3 = 15 + 18

a3 = 33

∴The third term is 33

For the fourth term, a4

n = 4,

From the given equation, an=15+6n

∴ a4 = 15 + 6(4)

a4 = 15 + 24

a4 = 39

∴The fourth term is 39

Hence, the first four terms in the sequence an=15+6n are 21, 27, 33, and 39.

The correct option is C. 21, 27, 33, 39

Learn more on sequence here: https://brainly.com/question/24195209

Find the standard form of the equation of the parabola with a focus at (0, 6) and a directrix at y = -6.


A) y equals 1 divided by 24 x squared

B) y2 = 6x

C) y2 = 24x

D) y equals 1 divided by 6 x squared

Answers

Answer:

None of the options represent the right answer. (Real answer: [tex]y = 24\cdot x^{2}[/tex])

Step-by-step explanation:

The parabola shown above is vertical and least distance between focus and directrix is equal to [tex]2\cdot p[/tex]. Then, the value of p is determined with the help of the Pythagorean Theorem:

[tex]2\cdot p = \sqrt{(0-0)^{2}+[6-(-6)]^{2}}[/tex]

[tex]2\cdot p = 12[/tex]

[tex]p = 6[/tex]

The general equation of a parabola centered at (h,k) is:

[tex]y-k = 4\cdot p \cdot (x-h)^{2}[/tex]

It is evident that parabola is centered at origin. Hence, the equation of the parabola in standard form is:

[tex]y = 24\cdot x^{2}[/tex]

None of the options represent the right answer.

Answer:

  y equals 1 divided by 24 x squared  

Step-by-step explanation:

Just took the test

The sound of thunder from a bolt of lightning was heard 2.6 seconds after the lightning hit,from 895 meter away.What was the speed of sound to the nearest tenth of a meter of a meter per person

Answers

Answer:

344.2m/s

Step-by-step explanation:

The parameters given are:

Distance=895meter

Time=2.6seconds

Therefore the speed of sound is:

Speed of sound= distance/time taken

= 895/2.6

=344.23

=344.2m/s ( to the nearest tenth)

Answer:

d 344.2 meters per second

Step-by-step explanation:

edge 2021

The table gives the mass of liquids with a volume of 5 cm3. A 2-column table with 4 rows. Column 1 is labeled liquid with entries water, glycerin, milk, olive oil. Column 2 is labeled Mass (grams) with entries 5, 6.3, 5.15, 4.9. Density is the ratio of mass to volume. Density = mass volume What is the density of milk? Use the drop-down menu to complete the statement. The density of milk is StartFraction grams Over centimeters cubed EndFraction.

Answers

The answer would be 1.03! hopes this helps!

Answer:

1.03

Step-by-step explanation:

i did the assignment on edg 2020/2021

How many tangents that are common to both circles can be drawn?
A.1
B.2
C.3
D.4

Answers

Answer:

D. 4

Step-by-step explanation:

If there are 2 circles drawn in space but not intersecting each other or touching each other at all, there are 4 common tangents.

I hope this helped and have a good rest of your day!

3 tangets are common therefore they can be drawn

Can you pleasee help me with the Screenshot Below its Overdue.

Answers

Answer:

what grade is this its and your answer is

Step-by-step explanation:

13/5 63/1 A = X

Find the mean, median, mode, and range of the data set.
23, 31, 26, 27, 25, 28, 23, 23, 25, 29, 29, 29, 25, 22, 30, 23

Answers

Answer:

Range: 9

Mode: 23

Median: 25.5

Mean: 26.1

Step-by-step explanation:

Arrange the data set from least to greatest.

22, 23, 23, 23, 23, 25, 25, 25, 26, 27, 28, 29, 29, 29, 30, 31

Range: Highest value - Lowest value =

Mode: The most number listed in the data set, or the listed numbers

Median: The middle number

Mean: finding the average of the data set

Range: 31 - 22 = 9

Mode: 23

Median: 25 + 26 = 51/2 = 25.5

Mean: 22 + 23 + 23 + 23 + 23 + 25 + 25 + 25 + 26 + 27 + 28 + 29 + 29 + 29 + 30 + 31 = 418/16 = 26.125 or 26.1

PLZ HELP! WILL MARK BRAINLIEST
Tell what whole number you can substitute for x in the following list so the numbers are ordered from least to greatest.
1/x , x/8, 65%
x=

Answers

Answer:

4

Step-by-step explanation:

If you add 4 it would be 1/4, 4/8, 65% which goes from least to greatest!

Answer:

x= 3

Step-by-step explanation:

1/3 = 33.3%. 3/8 = 37.5%. 65%

Hope this helps.

HELPPPPP I HAVE NO CLUE ON WHAT TO DO

Answers

Answer:

B 86

Step-by-step explanation:

ABCD = EFGH

A = E

B = F

C = G

D = H

The marcus family goes out to eat 4 nights during vacation. There are two adults and two children in their family
The first night they go out to a buffet, the cost is 24.99 per adult and 12.99 per child. Plus 8% sales tax, how much did dinner cost?

Answers

answer:  

82.0476 i think

Step-by-step explanation:

Answer:

82.04 dollars

i hope this was helpful

Step-by-step explanation:

Which expression is equivalent to mn+z

Answers

Is an ecuation with out solution it stays same

Which is equal

(please help asap!)

Answers

Answer:

B

Step-by-step explanation:

there

20 is what percent of 60

Answers

Answer:

30%

Step-by-step explanation:

Answer:

33.333333333333%

Step-by-step explanation:

A cube with a volume of 64 cubic meters is scaled by factor of 5.what is the volume of cube in cubic meters?

Answers

If you scale 64 meters by a factor of 5 you will get 34.55

The given system of eqqations models the coins in a jar containing n nickels, d dimes, and a quarters. Which statement is
modeled by one of the equations in the system?
q- dun
0 250+ 0 100+ 0.05n-6.05
+0+-36
The number of nickels is equal to the total number of dimes and quarters
The total value of the coins in the jar is $36
There is a total of 36 coins in the jar
There is an equal number of nickels, dimes, and quarters

Answers

Answer:

Option (3).

Step-by-step explanation:

This question is incomplete; find the compete question in the attachment.

Equation (1):  q = d + n

"Total number of quarters is equal to the sum of number of dimes and nickels."

Equation (2): 0.25q + 0.10d + 0.05n = 6.05

"Total value of the coins in the jar is $36"

Equation (3) : q + d + n = 36

"There are a total of 36 coins in the jar."

By comparing the options given, we find the third option which matches with equation (3)

Therefore, option (3) is the correct answer.

. You deposit $600 in an account that earns simple interest. The difference between the total interest earned after 5 years and the total interest earned after 3 years is $24. What is the annual interest rate?

Answers

Answer:

The answer is .007874989

Step-by-step explanation:

Consider rectangle ABCD with diagonals BD and AC

intersecting at

Which is true about the angle relationships in the

rectangle? Check all that apply.

BEA and 2 CED are vertical angles and equal

76

ZABE and 2 CBE are complementary angles,

BEC and CED are vertical angles,

-------

BEA and AED are supplementary angles

whose sum is 180°

O

BEC and

AED are adjacent angles,

Answers

Answer:

BEA and AED are supplementary angles  whose sum is 180°

Step-by-step explanation:

complete question is:

Consider rectangle ABCD with diagonals BD and AC  intersecting at E.

Which is true about the angle relationships in the  rectangle? Check all that apply.

BEA and 2×CED are vertical angles and equal  76 ABE and 2×CBE are complementary angles, BEC and CED are vertical angles,BEA and AED are supplementary angles  whose sum is 180° BEC and  AED are adjacent angles,

Answer:

it is abd

Step-by-step explanation:

FP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

what is (5 x 3 ) + 10

Answers

Answer:

25

Step-by-step explanation:

5 x3 is 15 and then add 10. im sure u know that but yea

A survey showed that 7/15 of a class liked soccer and 2/5 liked baseball. Which sport was liked less?

Answers

Answer:

baseball my guy

Step-by-step explanation:QUICK MATHS

Answer: baseball is liked less

Step-by-step explanation: its liked less because the common denominator is 15 and whatever you times the bottom by you times the top by. so 2/5 x 3= 6/15<7/15 hope that helped!:)

A certain lot consisting of ten items has three defective items and seven nondefective items. How many possible subsets of 2 items can be chosen from this lot?

21
45
90

Answers

Answer:

45

Step-by-step explanation:

The order in which the items are chosen is not important. So we use the combinations formula to solve this question.

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

How many possible subsets of 2 items can be chosen from this lot?

Combinations of 2 from a set of 10. So

[tex]C_{10,2} = \frac{10!}{2!(10-2)!} = 45[/tex]

Answer:

45

Step-by-step explanation:


Determine which ordered pairs are also in the relation where the rise is -2, the run is
3, and (6,2) lies on the line.

a) (-9, -12) and (-6, 2)
b) (-3, 4) and (3,8)
c) (0,9) and (-2, 12)
d) (9,0) and (12, -2)

Answers

Answer:

idk

Step-by-step explanation:

idk :)

The ordered pair that has a rise of -2 and a run of 3, and also lies on the same line as the point (6, 2) is: d) (9,0) and (12, -2)

The Rise and Run of a LineThe rise of a line is the change in the y-values.The run of a line is the change in the x-values.

The rise of the ordered pair, (9,0) and (12, -2):

Rise = change in y =  -2 - 0 = -2.

The run of the ordered pair, (9,0) and (12, -2):

Run = change in x = 12 - 9 = 3.

Therefore, the ordered pair that has a rise of -2 and a run of 3, and also lies on the same line as the point (6, 2) is: d) (9,0) and (12, -2)

Learn more about rise and run of a line on:

https://brainly.com/question/14043850

What is 1200 milligrams converted into grams

Answers

Answer:

The answer is 1.2 grams.

Step-by-step explanation:  So 1,000 milligrams is 1 gram.   So to get this answer you divide 1200 milligrams by 1000 and that gives you 1.2 grams for 1200 milligrams.

please answer this. 20 points

Answers

Answer:

figure ii

Step-by-step explanation:

counterclockwise is this way >>>

thus making figure 2 the version of circle A spun counterclockwise

It is counterclockwise

Solve for the missing side

Answers

Answer:

c

Step-by-step explanation:

Solve algebraically
x-4y=-10
x+y=5

Answers

Answer:

if x+y=5, then x=5-y

so x-4y=-10

5-y-4y=-10

5-5y=-10

-5y=-15

y=3

x=5-y

x=5-3

x=2

x=2; y=3

If you spun the spinner 1 time, what is the probability it would land on a white piece?

Answers

Answer:

4/7

Step-by-step explanation:

Since there are 7 possible outcomes because there are 7 triangles the denominator will be 7. Since there are 4 white squares the chances of landing on one is 4/7

Unit 5. 8) Please help. Which of the two-dimensional cross sections listed below could be created by cutting a cube with a plane?

Select all that apply.

Answers

Answer:

hexagonrectanglesquaretrianglepentagon

Step-by-step explanation:

Only a straight line can be formed at the intersection of a plane with another plane. The faces of a cube are planes, so a 2-dimensional (planar) cross section of a cube cannot be a curve. It cannot be an ellipse or circle.

What polygons are possible?

The intersection of a plane with a cube can be a polygon with 3, 4, 5, or 6 sides. That is, the 2-D cross section of a cube can be ...

  triangle, rectangle, square, pentagon, hexagon

__

The attachment shows some possibilities.

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