Find the inverse (pre-calc)

Find The Inverse (pre-calc)

Answers

Answer 1

Answer:

f^(-1)(x) = e^(x/3)

Step-by-step explanation:

1.  Replace 'f(x)' by 'y:'  y = 3ln x

2. Interchange x and y:  x = 3ln y => x/3 = ln y

3. Solve for y:  

   e^(x/3) = y

4.  Replace this 'y' with 'f^(-1)(x)'

    Then f^(-1)(x) = e^(x/3)


Related Questions

Everyone loved Caroline's cookies so much that they ate them all! She wants to make some more to eat at
home, but would only like to make 1 dozen cookies. How much of each ingredient will she need? Rewrite
the recipe so that it will only make 1 dozen cookies.

Answers

Which one is the original sentence?

What does this sentence mean? Or write the formula

Find all sets of 2 consecutive positive integers with a sum that is at least 8 and less than or equal to 24.

Answers

Answer:

An odd integer is denoted by 2n+1 where n is an integer.

First odd integer = 2n+1

Next odd integer = 2n+3

8 ≦ (2n+1)+(2n+3) < 24

8 ≦ 2n+1+2n+3 < 24

8 ≦ 4n+4 < 24

Divide through by 4

2 ≦ n+1 < 6

Subtract 1 for all three sides:

1 ≦ n < 5

n ∈ {1,2,3,4}  

Answer:  {2n+1, 2n+3}  {1,3}, {3,5}, {5,7

Step-by-step explanation:

PLS HELP WILL MARK BRAINLIEST!

Answers

Answer:

10 adults

Step-by-step explanation:

Convert 50 kg into pounds:

50*2.2 = 110 lbs

Number of adults the elevator can take:

1200 / 110 = 10 (rounded down)

Answer:

The Elevator can hold 10 adults

Step-by-step explanation:

Step 1- Convert kg to lbs to get 110lbs

Step 2- Divide 1200 (the elevators max compacity) by 110 to get 10

Step 3- The elevator can hold 10 adults

-Rocketgamer360

Jada measured the height of a plant in a science experiment and finds that, to the nearest 1/4 of an inch, it is 4 3/4 inches.

What is the largest the actual height of the plant could be?
4 7/10
inches

Answers

Answer:

Step-by-step explanation:

Given that the height(h) of the plant to the nearest 1/4 of an inch is 3/4 inches = 0.75 inches.

It is obvious that the height will lie within the range

2.5/4<h<3.5/4

which corresponds to the range

5/8<h<7/8 OR 0.625<h<0.875

Thus,

a. The largest actual height could be 0.875 inches, while

b. The smallest actual height could be 0.625 inches

c. The percentage error is given by the formula:

[(approx.-exact)/exact]*100%

If we take the lowest value, for instance, as the exact, i.e. 0.625 inches,

then % error = [(0.75-0.625)/0.75]*100% = 16.7%

Obviously, the same value is expected if we take the upper limit of 0.875, i.e. % error = [(0.75-0.875)/0.75]*100% = -16.7%, only that the absolute value will be taken.

the sum of the three consecutive integers is -105 what are the three numbers?

Answers

Answer: -34, -35, -36

Explanation: To find the sum of the three consecutive integers which add up to -105, let us find the sum of three consecutive integers which add up to 105. The only possible solution is 34, 35, and 36. Now we can just make this negative for -105. To double check, put this into a calc: -34 + -35 + -36

Would appreciate brainly <3

Let first number=x, second number=x+1, third number=x+2
Equating the sum of three number to -105 and finding x, the three integers are -36,-35 and -34

Which value of m is a counterexample for the following statement?

If m is an odd prime number, then m + 2 is also prime.

Group of answer choices

7

3

5

9

11

Answers

Answer:

3

Step-by-step explanation:

because 3 is a prime number and 3+2=5 which is also a prime number

Find the roots of the equation: 6y^2 + 24 = 0

Answers

Answer:

y = ±2i

Step-by-step explanation:

6y^2 + 24 = 0

Divide both sides by 6

y^2 + 4 = 0

Subtract 4 from both sides

y^2 = -4

Take the square root of both sides

y = ±√-4

y = ±2√-1

y = ±2i

Answer:

Step-by-step explanation:

6y^2+24=0

/6

y^2+4=0

y^2=-4

y=±[tex]\sqrt{-4}[/tex]

y=±[tex]\sqrt{4}[/tex] i

$61.60 for parts and labor rate is $30.00 per hour total cost 136.60 how many hours will the job take? Write an equation and explain how you used it to find the number of hours the job will take.

Answers

Answer:

(136.60 - 61.60) / 30 = 2.5 hours

Step-by-step explanation:

First, subtract the cost of parts from the total: 136.60 - 61.60 = 75

Now you have the total labor cost. Divide by the hourly rate: 75 / 30 = 2.5

OMG FOR A BRAINLIST HELP ANSWER!!!!!!!!!

Answers

Answer:

C is answer

Step-by-step explanation:

Order the given rational numbers from least to greatest: 4 1/4
3.3
3 1/3
-4 1/4
-3

Answers

Answer:

-4 1/4 , -3 , 3.3, 3 1/3, 4 1/4

Step-by-step explanation:

make all fractions decimals

4 1/4 = 4.25

3 1/3 = 3.33333..

-4 1/4 = -4.25

4.25 , -3 , 3.3 , 3.33... , 4.25

Lucy has ridden 45 miles of a bike course. The course is 60 miles long. What percentage of the course has Lucy ridden so far?

Answers

Answer:

a

Step-by-step explanation:

Add and write in standard form: (-3x^4 + 6x^3 - 43) + (8x^5 - x^2 + 12x + 10)

A.) 8x^5 - 3x^4 + 6x^3 - x^2 + 12x - 33
B.) x^5 - 5x^3 + 12 - 33
C.) -33 + 12x - x^2 + 6x^3 - 3x^4 + 8x^5
D.) -13x^14

Answers

Answer:

A.) 8x^5 - 3x^4 + 6x^3 - x^2 + 12x - 33

Answer: A

Step-by-step explanation:

Because the only thing that can be combined is - 43 and 10, you just need to combine that and write everything else out.

- 43 + 10 = - 33

Now just write everything out...

8x^5 - 3x^4 + 6x^3 - x^2 + 12x - 33

Which is A

Please help me I need help with solving this equation worth 30 points

Answers

Answer:

1. -20

2. 27

3. 36

4. -200

pls help!! need it to study fr the exam tmrw​

Answers

Answer:

[tex] \frac{88}{4} \\ 22 \\ here \: u \: go[/tex]

Answer:

22 cm

Step-by-step explanation:

The angle subtended at the centre by the arc is 90°

This represents [tex]\frac{90}{360}[/tex] = [tex]\frac{1}{4}[/tex] of the circle

The arc length will be quarter of the circumference, that is

arc = [tex]\frac{1}{4}[/tex] × 88 = 22 cm

Please help fast i will mark you if you get it right

Answers

Answer:

6/1 * 2/3= 4

5/6 - 3/4= 1/12

3/5 / 1/3= 9/5

Step-by-step explanation:

Stella is ordering a taxi from an online taxi service. The taxi charges $3 just for the pickup and then an additional $1.75 per mile driven.

Answers

Answer:

and wht is the question?

Kk but how far did she go Bc that would be the way to get to the question

What percentage of a dollar is the value of 5 quarters and 1 dime?

Answers

Answer:

135%

Step-by-step explanation:

1 dollar is 100 cents. 5 quarters and 1 dime is 5x25 + 10 = 135 cents. 5 quarters and 1 dime would be 135/100 = 135% of 1 dollar.

The farmer bought 2.5 sacks of fertilizer for $2.20 per sack and 4.5 sacks of essential soil for $1.80 for each sack from the supplier. If he gave a $15 bill to the supplier, how much would his change be?

Answers

Answer:

$0.50 or 50 cents

Step-by-step explanation:

If he bought 2 and a half sacks of fertilizer for $2.20 that means u multiply 2.20 2 and a half times so first lets divide 2.20 by 2 to find the solution of the "0.5" which is 1.10

2.20 times 2 equals 4.40 then we add the 1.10 so 4.40 plus 1.10 is $5.50.

For the 4.5 sacks of 1.80 we will do the same technique half o 1.80 is 90 cents so 0.90 and 4.5 times 1.80 is $8.10 we then add the 90 cents making it $9.

We then add the 2 totals of $9 and $5.50 which equals $14.50, the change would be 50 cents which in decimal form would be $0.50

Help please Ill give brainlest!

Answers

Answer:

1. A.

2. C.

Step-by-step explanation:

1. these angles are corresponding because if the line passes through parallel lines 1-6, 2-5,3-7,4-8 will all be corresponding angles

2.

Since 2 and 5 are corresponding angles they will have the same degree measures

Put the following decimals in order from
least to greatest
{0.067, 0.06, 0.007, 0.09, 0.0076)

Answers

It’s not true even tho u think it’s true but it’s not

Examine the table, which represents a linear function.
What is the rate of change of the function?
Input (x) Output (y)
-5 18
−3 23
−1 28
1 33

Answers

Answer:

I believe it should be 3 23

Answer:

  2.5

Step-by-step explanation:

The rate of change can be found from the slope formula.

  m = (y2 -y1)/(x2 -x1)

Using the first two lines of the table, we find ...

  m = (23 -18)/(-3 -(-5)) = 5/2

The rate of change of the function is 5/2 = 2.5.

What is an equation of the line perpendicular to y=1/5x+2
That contains (15, -4)?

PLS HELP

Answers

Answer:

y+4=-5(x-15)

Step-by-step explanation:

Use point-slope form:

y-y1=m(x-x1)

m is the slope

x1 is the x coordinate of the point that the line contains

y1 is the y coordinate of the same point

We are already given the coordinates of the point (15, -4), so we just need m, the slope.

We are given that equation of the line is perpendicular to line y=1/5x+2. Perpendicular lines have slopes that are negative reciprocals of one another. The slope of y=1/5x+2 is 1/5, so all we need to do it get the negative reciprocal of 1/5.

The negative reciprocal of 1/5 would be -5. (switch the numerator and denominator and slap on a negative)

Now we know

m is -5

x1 is 15

y1 is -4,

so plug those into point-slope form: y-y1=m(x-x1)

y-(-4)=-5(x-15)

y+4=-5(x-15) is the answer

67 is 0.12% of what number?

Answers

we have 67/x . 100% = 0.12 %

so x = 67.100%/0.12% = 55833,(3) ≈ 56

ok done . Thank to me :>

Find the coordinates of a point that divides the directed line segment PQ in the ratio 5:3.

Question 7 options:


A)


(4, 1)


B)


(4, 5)


C)


(2, 2)


D)


(–6, 6)

Answers

Answer:

B ......................

Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).

Answers

The number of comic books is an illustration of a linear function

The complete equations are: [tex]\mathbf{8b + 17 =65}[/tex] and [tex]\mathbf{b =6}[/tex]The value of b has increased by 4

She had 17 comic books already.

So, we have:

[tex]\mathbf{Base\ Amount = 17}[/tex]

Her order of 65 books contains 8 comic books per collection.

So, we have:

[tex]\mathbf{Rate = 8}[/tex]

[tex]\mathbf{Total = 65}[/tex]

This is represented as:

[tex]\mathbf{Rate \times b + Base\ Amount =Total}[/tex]

So, we have:

[tex]\mathbf{8\times b + 17 =65}[/tex]

Rewrite as:

[tex]\mathbf{8b + 17 =65}[/tex]

Subtract 17 from both sides

[tex]\mathbf{8b =48}[/tex]

Divide both sides by 8

[tex]\mathbf{b =6}[/tex]

Assume she has 97 books in her collection, then the equation would be represented as:

[tex]\mathbf{8b + 17 = 97}[/tex]

Subtract 17 from both sides

[tex]\mathbf{8b = 80}[/tex]

Divide both sides by 8

[tex]\mathbf{b = 10}[/tex]

The values of b are 6 and 10.

The difference between 6 and 10 is 4

Hence, the value of b has increased by 4

Read more about linear equations at:

https://brainly.com/question/11897796

7≥ 3x + 4 is it 4, 1, 2 or -1

Answers

Answer:

x≤1

Step-by-step explanation:

7≥3x+4

Intercambie los lados para que todos los términos de las variables estén en el lado izquierdo. Esto cambia la dirección de la señal.

3x+4≤7

Resta 4 en los dos lados.

3x≤7−4

Resta 4 de 7 para obtener 3.

3x≤3

Divide los dos lados por 3. Dado que 3 es >0, la dirección de desigualdad sigue siendo la misma.

x≤  

3

3

 

Divide 3 entre 3 para obtener 1.

x≤1

A=-4.5-2. B=0-3.5 a) What are the coordinates of A?
b) What are the coordinates of B?

Answers

Step-by-step explanation:

Coordinates of A are (-4.5, 2).

Coordinates of B are (0, -3.5)

Answer:

Both answers are true

Step-by-step explanation:

Coordinates of A are [-4.5,2]

Coordinates of B are [0,-3.5] { because it lies on the negative side of Y axis}

y/−7 = 1 /4 what does y =

Answers

Answer:

y = - [tex]\frac{7}{4}[/tex]

Step-by-step explanation:

[tex]\frac{y}{-7}[/tex] = [tex]\frac{1}{4}[/tex] ( cross- multiply )

4y = - 7 ( divide both sides by 4 )

y = - [tex]\frac{7}{4}[/tex]

My friends the answer is -7/4 Explanation:y/(-7) = 1/4 // - 1/4    y/(-7)-(1/4) = 0 y/(-7)-1/4 = 0 -1/7*y-1/4 = 0 // + 1/4 -1/7*y = 1/4 // : -1/7 y = 1/4/(-1/7) y = -7/4

Which of the following lists of ordered pairs is a function?
A. (3, –2), (2, –1), (3, 4), (4, 7)
B. (0, 4), (1, 2), (1, 0), (2, 3)
C. (2, 5), (3, 8), (4, 11), (4, 12)
D. (1, 7), (2, 5), (3, 6), (4, 1)

Answers

Answer:

D

Step-by-step explanation:

In this case, we can define a function as a "relation and the set of ordered pairs that doesn't contain 2 pairs with matching components"

In A above, (3,-2), (2,-1), (3,4), (4,7)

There is a repeat of 3 in both (3, -2) and (3,4) so this can't be considered a function.

B. (0, 4), (1, 2), (1, 0), (2, 3)

There is a repeat of 1 in both (1, 2) and (1, 0), so this is not a function.

C. (2, 5), (3, 8), (4, 11), (4, 12)

4 is repeated in (4, 11) and (4, 12) so this cancel out its probability of it being a function.

D. (1, 7), (2, 5), (3, 6), (4, 1)

D. (1, 7), (2, 5), (3, 6), (4, 1)There is no repeat of components, so this is considered a function.

Rahul earns 21,000 in 7 months.

a) How much does he earn in 12 months!

b) In how many months will he earn *33,000?​

Answers

Answer:

a _ 12×21000/7 = 36000

b _ 33 × 7 / 21000= 11 months

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