What is the inverse of the function?
f(x) = 3^x + 1

f^-1(x)= log3 (x) +1
f^-1(x)= log3(x)-1

f^-1(x)=log3(x+1)

f^-1(x)=log3(x-1)

Answers

Answer 1

Answer:

f^-1(x)=logs3(x+1)

Step-by-step explanation:

Answer 2

Let y=f(x)

[tex]\\ \rm\Rrightarrow y=3^x+1[/tex]

Interchange

[tex]\\ \rm\Rrightarrow x=3^y+1[/tex]

[tex]\\ \rm\Rrightarrow lnx=ln(3^y+1)[/tex]

[tex]\\ \rm\Rrightarrow x=\dfrac{ln(y-1)}{ln3}[/tex]

Again interchange

[tex]\\ \rm\Rrightarrow f^{-1}(x)=\dfrac{ln(x-1)}{ln3}[/tex]


Related Questions

i rlly need help help me out pls

Answers

Answer:

San francisco

Step-by-step explanation:

once you divide the distance by time then multiply the answer by the longest amount of time (aka 4)

San francisco = 2556

Minot = 1826

Phoenix = 2252

increase 600 by 8⅓ percent ​

Answers

Answer:

650

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

State the slope for the equation.


y=5x+8


Enter you answer in the box.


Slope: m=

Answers

Answer:

Step-by-step explanation:

The y-intercept of the equation is -8.

You can test this by making X = 0 and solving algebraically. Similarly, if you make y = 0, you can solve the X value. This means X = 8/5

Co-ordinates (8/5, -8)

5x -4(x - 3) - 8 = Ax + B

Answers

Answer:

12= ax - x + b

Step-by-step explanation:

5x -4(x - 3) - 8 = ax + b

5x -4x + 12 - 8 = ax + b

x + 12 = ax + b

12= ax - x + b

There are 120 apples, 1/16 have sprinkles. How many have sprinkles?

Answers

Answer:

7.5

Step-by-step explanation:

because 7.5 x 16 = 120

How do I solve 0.0055 m a cm ?

Answers

Answer:

863.83

Step-by-step explanation:

es por qué es un número multimedios y los los número se asen pares

dl

Hi i need help with this !

Answers

Answer:

4y+8x

Step-by-step explanation:

well, because that was the only one that did not have a line on desmos.

the sum of 3 fifteens and 4 twos​

Answers

Answer:

52

Step-by-step explanation:

15 x 3 = 45

2 x 4 = 8

45 + 8 =52

Answer:

The answer is 53

Step-by-step explanation:

Its 53 because 3 fifteens is equal to 45 and 4 two's is equal to 8 so you just have to add 45+8=53

ok this is stressin me out anyone know this

Answers

X=7.
9x-7y=63
9x-7 x 0=63
9x - 0=63
9x=63
X=7.

Y=-9
9 x 0 -7y=63

Anyone know this? ..........

Answers

Answer:

Yes, Each value in the domain goes to only one value in the range.

Step-by-step explanation:

Since each x goes to a different y value, the relation is a function

Each value in the domain goes to only one value in the range.

solve both pls brainliest

Answers

Answer:

x= 4.66

v-9= 63

Step-by-step explanation:

Hope this helps! :)

*Victor was 72 btw*

Please help me with the question

Answers

Answer:

Rate of Change: 2

Step-by-step explanation:

Rate of change is the same as slope:

( y1 - y2 ) / ( x1 - x2 )

( 2 - 4 ) / ( 0 - 1 )

( -2 ) / ( -1 )

2

Hopefully this helps!

Brainliest please?

rise/run up two over 1; the slope is 2/1 or just 2

Olivia typed 36-word paragraph in 2/3 minute. what is her typing speed, in words per minute?​

Answers

Answer:

Olivia typed speed per minutes is 54 words

Step-by-step explanation:

Given:

Olivia typed 36 word in 2/3

Solution:

By Unitary method, calculate the speed of typing by Olivia as-

2/3 Minutes → 36 Words

1 Minutes → 36 ÷(2/3) Words

1 Minutes → 36x3÷2 Words

1 Minutes → 54 Words

Therefore Olivia typed speed is 54 word.

What is the unit rate of 124 pages and 2 hours

Answers

Answer:

62 pages per hour.

Step-by-step explanation:

Divide 124  ÷ 2.

what is the present value of $6,000 to be received at the end of 6 years if the discount is 12%

Answers

Future value = FV = $6000

Time period = n = 8

interest rate = r = 12%

Present value (PV) is calculated using the formula:

PV = FV/(1+r)n

Present Value = PV = 6000/(1+12%)8 = 6000/1.128 = 2423.299368

Answer -> 2,423

Answer:

$3,039.79

Step-by-step explanation:

Can someone please help me with this question

Answers

Answer:

40 degrees

Step-by-step explanation:

i'm use......

What is answer to 2 + 3m =

Answers

You can't really do anything with it cause it's fully simplified

Answer:

Nothing you can do because it is already simplified. So yea

Step-by-step explanation:

Can you help please.?

Answers

Answer:

2.33yd or 2 1/3yd

Step-by-step explanation:

7/3=2.33

Students were asked to find an equivalent value of the expression 13 divided by 19/100 which could a student use?

Answers

Answer:

68.4210526316

you first divide 19/100 and then you divide the out put 13/ 0.19

Step-by-step explanation:

A photographer made a 5-inch by 8-inch print of a photo. He then made a 10-inch by 16-inch print of the same photo.

Which scale factor was used to create the larger photo from the smaller photo?

Answers

The photographer just doubled the size of the 5 x 8 in photo

No one answered the palm tree question so I will put this question up for 15 points. Please answer now it’s due!

Answers

Answer:

15 feet

Step-by-step explanation:

Answer:

15 feet is the answer ok

a stock market fell 25 points the following day it dropped another 12 points what was the total change in the stock market after two days

Answers

Answer: its either c or b

Step-by-step explanation:

A has a volume of 264 cm3
B has a volume of 891 cm3

A has a height of 8 cm

Work out the height of pot B.

Answers

Answer:

27 cm

Step-by-step explanation:

the radious of the pot:

[tex]v=\pi r^{2} h[/tex]

[tex]264=\pi r^{2} (8)[/tex]

[tex]r^{2} =\frac{264}{8\pi }[/tex]

The height of pot B

[tex]891=\pi (\frac{264}{8\pi })h[/tex]

[tex]891=(\frac{264}{8} )h[/tex]

[tex]h=\frac{(891)(8)}{264} =27[/tex]

I hope this help you

What is the slope of the line?

Answers

Answer:

-3

Step-by-step explanation:

we take two points to find slope m

lets take ( 1, 4) and ( 2, 1)

then m=(1-4)/(2-1)

m=(-3)/(1)

m= -3

the nth term of a sequence is n(n-8)÷√n+3
find the 1st and 6th terms

Answers

Answer:

-4 and -2✓6+3

Step-by-step explanation:

use pemdas

1(1-8)÷✓1 + 3

-7÷1+3

-4

6(6-8)÷✓6+3

-12÷✓6+3

multiply fraction by ✓6 on bottom and top to get rid of square root on bottom

-12✓6÷6+3

divide -12 by 6 and put radical next to it

-2✓6+3

solve pls brainliest

Tell me where to put the dot

Answers

Answer:

You will put one mark in front of 5 and the other in front of 10. For question a the answer is 11 is to the right of 6. For question B the correct answer is that 11 is greater then 6 or >

Step-by-step explanation:

Helpp the topic is about limits

Answers

Since we want to find the value of k where the limit exists, set both equations equal to each other. Then substitute x = -1 in for each equation to find k.

[tex]kx - 3 = {x}^{2} + k[/tex]

1. Set both equations equal.

[tex] - k - 3 = 1 + k[/tex]

2. Substitute x = -1.

[tex] - 3 = 1 + 2k[/tex]

3. Solve for k by adding k to both sides. Continue the process of solving the equation.

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

[tex]k = - 2[/tex]

Thus, k = -2. Check by graphing the function.

How can you represent a rate with 100 as the whole?

Answers

Since, 100 is a positive integer and is a counting number. Hence, it is considered to be a whole number.

A 2-column table with 9 rows titled December Temperatures. Column 1 is labeled Day with entries 1, 2, 3, 4, 5, 6, 7, 8, 9. Column 2 is labeled Temperature (degrees Fahrenheit) with entries 33, 34, 42, 36, 39, 36, 39, 40, 44.
What is the interquartile range for the data set?

The answer is 6

Answers

Answer:

Step-by-step explanation:

I really need points but good luck with your question

: $800 invested at a 9% interest rate for 8 years.

Answers

Answer:

576$

Step-by-step explanation:

$800×9/100×8=576$

You would make $576. 800 at a 9% rate is $72 per year. 72x8 years is $576
Other Questions
once criticism of the reducing emissions from deforestation and forest degradation program has been that it Multiply.2.5(-4) eeeeeeeeeeeeeeeeeeeeeeee Simplify by using the product, quotient, and power rules lionel messi siempre a dormir unas horas cuando termina de almorzar. t tambin a dormir la siesta despus del medioda? debemos los dientes despus de cada comida. algunas personas por la maana. a m me gusta por la noche. todas las noches, laura bien la cara para el maquillaje. profesor, usted muy temprano para llegar a tiempo a la escuela? daniel y virginia y salen a desayunar en un caf los domingos. Ken bought a new car and had to borrow $6,500 from the bank. The bank chargedKen 3.7% in simple interest for the 5 years Ken had the bank loan. What's the totalamount Ken will have to repay the bank? Although it looks like it is just a portrait, Hans Holbein's The Ambassadors (figure 15.24) contains many references toreligion and salvation. Holbein might have felt it was best to hide religious meaning in his painting due to:Select one:a. The Counterreformationb.The Reformation.c. The interest in humanism Xd. The renewed interest in the individualYour answer is incorrect. The entry price to the museum is $18.This price is increased by 28%.Find the increased entry price. ///////////////////////////////////////////////// whats the LCM for 22, 44 show your work help me please cuz some people are senting link when I ask them to not Bag A contains 3 red balls and 1 blue ball. Bag B contains 1 red ball and 1 blue ball. You perform the following experiment. First, randomly pick one ball from each bag. Next, place the ball from bag A into bag B and the ball from bag B into bag A. What is the expected number (or mean) of red balls in the bag A 73,498 to the nearest thousand English Adjectives: I need some help! It is totally important to me that I need some assistance! Here's my rules! No meme picture! And also No weird links description! Understand! And also give me the real answer! The ______ range in size from one to 500 miles in diameter and revolve around the sun A. Moons B. Comets C. Meteors D. Satellites E. Asteroids what is the difference between the independent, dependent, predictor, outcome, response variables? maya, an artist, has to draw a forest. she draws the trees in the foreground of her picture with more details than the trees in the background. maya is using the principle of ______ in her drawing to create the perception of distance. PLEASEEEEE HEELP MEEEE DO THIS WORK THANK U! 100 points! Ill give brainlist!! Tyrell jogs 18 miles in 3 hours. Which graph has the slope that best represents this rate? What are the three zones in almost all human cells?O cytoplasm, mitochondria, plasma membraneO ribosomes, genetic material, cytoplasmO nucleus, cytoplasm, plasma membraneO mitochondria, genetic material, plasma membrane What is the slope of the line passing through the points (8, 9) and (-2, 9)?