if e^f(x)=1+x^2, then f(x)=

Answers

Answer 1

Step-by-step explanation:

point dene ke liye sukriya tumhara dost

Answer 2

Answer:

[tex]\displaystyle f(x) = \ln\left( 1 + x^2\right)[/tex]

Step-by-step explanation:

We are given that:

[tex]\displaystyle e^{f(x)} = 1 + x^2[/tex]

And we want to find f(x).

We can take the natural log of both sides:

[tex]\displaystyle \ln\left(e^{f(x)}\right) = \ln\left( 1 + x^2\right)[/tex]

Recall that ln(aᵇ) = bln(a). Hence:

[tex]\displaystyle f(x) \ln(e) = \ln\left ( 1 + x^2\right)[/tex]

By definition ln(e) = 1. Therefore:

[tex]\displaystyle f(x) = \ln\left( 1 + x^2\right)[/tex]


Related Questions

BRAINLIEST IF U ANSWER

Answers

Answer:

180 degrees

Step-by-step explanation:

Tìm giá trị nhỏ nhất của hàm số: y = cos 2x + 4cos x - 3

Answers

Answer:

upp7fpfpzfpufpufpufpufpu

Step-by-step explanation:

uxcicicovovovovovvNC coordinatorby McKnight

I need these ASAP………..

Answers

Step-by-step explanation:

1) 3x - 4 = 86 + 24

3x - 4 = 110

3x = 110 + 4 = 114

x = 114/3 = 38

therefore, value of x is 38.

2) -10x = 30 + 90

-10x = 120

x = 120/10 = 12

x = 12

therefore, value of x is 12.

3) -8x + 23 + 51 = 130

-8x + 74 = 130

-8x = 130 - 74

-8x = 56

x = 56/8

x = 7

therefore, value of x is 7.

4) -9 + 2x = 59 + 90

-9 + 2x = 149

2x = 149 + 9

2x = 158

x = 158/2 = 79

x = 79

therefore, value of x is 79.

hope this answer helps you dear...take care !

At a sale on winter clothing, Cody bought two pairs of gloves and four hats for $44.00. Tori bought two pairs of gloves and two hats for $28.00. Solve the system to determine the prices of the hats and gloves. Group of answer choices $8.50 for a pair of gloves and $5.50 for a hat $5.50 for a pair of gloves and $8.50 for a hat $8.00 for a pair of gloves and $6.00 for a hat $6.00 for a pair of gloves and $8.00 for a hat

Answers

Answer:

$6.00 for a pair of gloves and $8.00 for a hat

please someone help me. Im giving brainliest!

Answers

Answer:

To solve the equation: First, subtract 9 from both sides of the equation. Second, divide both sides of the equation by -10

Step-by-step explanation:

We are subtracting from both sides because we need to do the inverse, and the inverse of adding 9 is subtracting it.

Same with the -10. We need to do the inverse, and the inverse of multiplying by -10 is dividing by it.

Answer:

First: Subtract 9 from both sides of the equation. Second: Divide both sides of the equation by -10

Step-by-step explanation:

because 9 is positive, to get rid of it you need to subtract it.

after than, you would get -10x = -30

you would then divide it by -10 because you need to get x by itself

x = -3

Translate the sentence into an equation. The sum of 6 times a number 9 and 8 equals . Use the variable c for the unknown number.

Answers

The question doesn’t make sense, try typing it properly

Can someone please help me

Answers

The last option; intersecting, but not perpendicular

Order the fractions from least to greatest

Answers

1/4, 1/2, 2/3, 5/6 is the order

Answer:

1/4, 1/2, 2/3, 5/6

Step-by-step explanation:

Hope this helped please mark be brainliest

5. Domingo earns $13 dollars per hour and worked 47.5 hours that week. He is paid
double time for all hours worked over 40 hours in one week. What is his gross pay
for the week?

Answers

Answer:

$715

Step-by-step explanation:

$13 x 40 hours = $520

47.5 hours -  40 hours = 7.5 overtime hours

2 x $13 = $26 per overtime hour

$26 x 7.5 = $195

$520 + $195 = $715

PLEASE HELP!! THIS IS CONFUSING!! Given f (x) = 2/3x -1, complete Parts A and B. Part A: Using the table provided, create five points to demonstrate that for the function f (x) = 2/3x -1, there is exactly one output value for each corresponding input value. In your final answer, include all calculations and the completed table. Part B: On a separate sheet of paper, use the points created in Part A to graph the function f (x) = 2/3x -1. Label the values on the x - and y-axes, and all points on the graph.

Answers

You did not provide a table however I used
x y
0 -1
3 1

(I tried to make a table above with x,y)

The x intercept is (3/2, 0)
The y intercept is (0, -1)
Slope 2/3
See pic for graph

Solve for the volume of this irregular polygon. Show your work
16 cm
16 cm
5 cm
6 cm
24 cm???? HELP

Answers

Answer:

36,864

Step-by-step explantion:

Help please!!!!!!!!!!!!

Answers

Answer:

your answer is as follows

Step-by-step explanation:

5x+20=3x+60

2x=40

x=20

(equating the slopes)

Can someone help me with this

Answers

Answer:

The answer is 6, I used  PEMDAS do parenthesis first, exponents if there's any, them multiplication, division, addition, lastly subtraction. When using PEMDAS not all the problems you'll have to solve have subtraction addition multiplication, etc. But follow the order they are put in and skip the ones that aren't there.

Ann made $143 for 11 hours of work.
At the same rate, how many hours of work would she have to work to make $243

Answers

Answer:

22 hours

Step-by-step explanation:

So, 143 equals eleven hours. 143 plus 143 would equal 243. So, you have two 143s which means you should multiply the 11 hours by two. 11x2 equals 22.

1. Choose the correct label for each feature of the diagram from this list.
Write its letter in the correct place in the diagram. (Not all the letters are needed.)
A The line y = 0
B
The line x = 0
с
The line x = 6
shift
D The line y=6
E The origin
10.94492
F
The line y=zx
G The line x + y = 9
H The line y=x+6
I
The line y=x-6
J
The solution of the simultaneous equations x + y = 9 and y= *
K The solution of the simultaneous equations x + y = 9 and y= 2x
2. Which point is on the line y = 6 and on the line x = 6?
3. Write the equation of any straight line that goes through the point (3,6).

Answers

Answer:

Step-by-step explanation:

Match the side lengths of ABCDE and the angle measures of FGHIJ.

Answers

Answer: get smart

Step-by-step explanation:

Help pls I’ll mark as brainliest!!

Answers

(d) 2 and 3 because they each have three terms.

Select the equivalent expression (a 5⋅23 ) 3 =?

Answers

Answer:

Step-by-step explanation:

65.2

Answer:

27/125 = 0.216

Step-by-step explanation:

Exponentiation: 3/

5

^ 3 = 33/

53

= 27/

125

In other words - three fifths raised to the power of cubed = twenty-seven one-hundred twenty-fifths.

Multifactorial factor: 5x^3-3x^2+3x

Answers

Answer: There are two solutions how to get the answer the factor solution and the factor by groupings solution.

Step-by-step explanation:

THE FACTOR SOLUTION

factor x out of 5x^3-3x^2 3x

X(5x^2 - 3x +3)

FACTOR BY GROUPINGS

Group of factors out the greatest common factor (GCF) then combined

X(5x^2 - 3x + 3)

I HOPE IT HELP YOU :)

I NEED HELP
Line a and line c are perpendicular and m<26 = (5x+7). Find the value of x.

Answers

Answer in fraction form = 83/5

Answer in decimal form = 16.6

==================================================

Explanation:

All eight angles shown are 90 degrees since lines a and c are perpendicular to each other. Perpendicular lines form right angles.

Set 5x+7 equal to 90 and solve for x

5x+7 = 90

5x = 90-7

5x = 83

x = 83/5 is the fraction form of the answer

x = 16.6 is the decimal form of the answer

Answer:

83/5 = 16.6

Step-by-step explanation:

5x+7 = 90

5x = 90-7     subtract 7 from both sides.

5x = 83

x = 83/5   = 16.6    

For acute triangle XYZ below, can you find the tangent ratio of angle rº?

Answers

Answer:

hold up lemma check

Step-by-step explanation:

if im corret it would probably be C. which is the 3rd one

evaluate the expression with steps please

Answers

Answer:

[tex] |8( - 2)(3) - 7(7) + 10| \\ = | - 48 - 49 + 10| \\ = | - 97 + 10| = | - 87| \\ = 87[/tex]

If anything is wrong and the answer to x-coordinate of vertex

Answers

Answer:

................hfgmehshshdhdjwieir

If x = 4 and y = 7, evaluate the - following expression: 20 +2(3y - 4x)​

Answers

Answer:

110

Step-by-step explanation:

Substitute x = 4 and y = 7

20 + 2 (3y - 4x)

= 20 + 2 [(3 x 7) - (4 x 4)]

= 20 + 2 (21 - 16)

= 20 + 2 (5)

= 22 (5)

= 110

Answer:

30 (always use .P.E.M.D.A.S.)

Step-by-step explanation:

20+2(3y-4x)

20+2(21-16)

20+2(5)

20+10

30

A female flea can consume about 1.4×10^-5 liter of blood per day .If a dog has 100 female fleas ,how much blood do the fleas consume per day? Write your answer in standard form.

Answers

7162525):! I’m going home what I

=
If a = 9 b = 10 and c =
5, what is the value of
2ab-c.?
1

Answers

Answer:

[tex]2ab - c \\ 2 \times 9 \times 10 - 5 \\ 18 \times 10 - 5 \\ 180 - 5 \\ = 175[/tex]

A 354​-inch board is cut into two pieces. One piece is five times the length of the other. Find the length of the shorter piece.

Answers

Answer:

54 inches

Step-by-step explanation:

Employees at a company are given £800 to spend on items for the office.
They decide to buy a coffee machine and as many bean bags as possible.
Bean bags cost £40 with an offer of "Buy at least 10 get 10% off the price."
The coffee machine costs £310.
How much will they have left over from the £800?

Answers

Answer:51273.816238

Step-by-step explanation:

Answer:

they have 490 to buy bean bags

If there is no discount, the amount they can buy is 490/40=12,25>10, so they will get a discount

call the bean bag is X we have: X*40*(100%-10%) ≤ 490

⇒X≤13,6

they can buy at most 13 bag and they will have left 490-40*13*90%=22

Step-by-step explanation:

Which button is the square root one and how to use it

Answers

The square root is above the [tex]x^2[/tex] button on the left.  (see picture)

To use it you first push "2nd" on the top left, and then the square root/[tex]x^2[/tex] button, and then enter in what's under the square root.

joyce is y years old.she is 10 years older than peter . what will be the sum oftheir ages ij 5 years time?​

Answers

your grammar is horrible lol but would i could make out is y is joyce’s age and peter is 10 so if joyce is 5 then it would be 15 for peter so 20 it’s pretty simple
Other Questions
E-books are likely to replace the printed books in the next twenty years. . Do you agree or disagree with the jury's verdict? Explain your answer. plsss help me setting description about suuny joyful day What was Thomas Jeffersons greatest contribution to the American Revolution?A. He was the general of the Continental Army.B. He drafted the Declaration of Independence.C. He presided over the First Continental Congress.D. He wrote several pieces of Enlightenment texts. 4. THE U.S. CONSTITUTION IS CONSIDERED THE "SUPREME LAW OF THE LAND"MEANING THAT ANY AND ALL LAWS ENACTED/CREATED NO MATTER AT WHATLEVEL OF GOVERNMENT IS NEVER HIGHER THAN IT AND ALL LAWS MUST BE INACCORD WITH THE U.S. CONSTITUTION AND NOT IN VIOLATION OF IT.True or false HELP ASAP I NEED THIS IN ONE HOUR WILL REPORT WRONG ANSWERS A new drill is used to dig a hole in the ground. At noon, the hole is 13.2 feet deep when the new drill is turnedon for the first time that day. At 2 p.m., the drill has dug the hole to be 42 1/4 feet deep. The new drill dug1.5 times as much of the hole as the old drill would have in the same length of time.(a) What expression represents the number of feet the new drill dug?(b) How many feet would the old drill have dug in the same length of time? Show your work. Answer the question in a complete sentence. Rolling a six sidded die and getting a I or 5 choose between the following composers: Roger Quilter, Frnz Shubert, Charles Ives, Stephen Somndheim or Vacal composers from any time ear. How did the composer began his career? where did they learn music? what does that mean? leanna finds a buy two get one free sale at her favorite store. her purchases cannot exceed $100. A skit orginally sells $22. What is the greatest number of skirts that she can get. Soruyu zermisiniz acilll What is the total distance travelled? What is the displacement of the object? Explain how light, depth, and temperature affect the number and type of organisms that live in each ocean zone PLEASE HELP........Which line implies that the mistress can be pale? What technique has been used in these lines? Scenario:Tourism industry has been suffering during this pandemic. Tata Vacation Villa currently hasnumerous vacancies. Few tenants moved out because of high rents Prospective tenants come tosee the units, they are very excited, however, they see many other vacancy signs available forless money. As a result, Tata Vacation Villa are losing customers. You are working as a managerof the company and your boss asked you toaWrite a report proposing a solution to a problem that has been identified bymanagement of acompany or agency. Your report should be two pagesin length (Appendix is not includedwithin two pages in length). Organize your report clearly and logically. Give each sectionanappropriate heading. You may use the following outline to plan your report, ormake yourown outline.A. ProblemB. RecommendationC. RationaleD. Alterative SolutionsE Appendix (DataYou are advised to use the sample as a standard format The question is in the picture.Please help! Solve for x in terms of h and k:2(2x - h) - k = 6 haken ist zwar nicht blau aber haken sind wie menschen man sollte sie nicht nach ihrer farbe verurteilen What do most good tragedies have in common?a)They feature multiple complicated plots.B) They feature Oedipus at some point in the story.C)They feature a person whose life goes from good tobad.D)They feature a person whose life goes from bad togood. Name two major issues that were a part of the populist party platform.