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

An observable characteristic of abnormal body
functioning that medical professionals can
visualize or detect is called what?
a symptom
a sign
a measure
inflammation

Answers

Answer:

a sign

Step-by-step explanation:

The function
y = 3.5x + 2.8 represents the cost y (in dollars)
of a taxi ride of x miles,

a. Identify the independent and dependent variables

Answers

Independent variable: x
Dependent variable: y

The radius is 7. Find the circumference of p. Leave your answer in terms of pi.

Answers

Answer:

Step-by-step explanation:

Hi there!

According to the question;

radius (r) = 7

We know,

Circumference (c) = 2πr

                              = 2π * 7

                              = 14π

Therefore the circumference of p is 14π.

Hope it helps!

Answer:

C.

Step-by-step explanation:

Look at picure please

Answers

Answer:

[tex]2 {y}^{7} x - 5 {y}^{5} {x}^{2} - 4{y}^{8} {x}^{3}[/tex]

Graphing linear equations and inequalities 3Y minus 2X equals nine

Answers

Answer:

The answer in the pictures

Please help me help please help

Answers

Answer: 1/2

Step-by-step explanation: it is 1/2 because the 2 points are 2 away on the x an is 1 on the y so it is 1/2.

Find the value of x
Write ur answer in simplest form

Answers

Answer:

x = 10

Step-by-step explanation:

a² + b² = c²

(5√2)² + (5√2)² = x²

50 + 50 = x²

x² = 100

x= 10

A) HL
B) Not enough information
C) AAS
D) SAS

Answers

A) HL

The 90° angle is vertical angles with the other unidentified angle

Find the area of this figure. Round your answer to the nearest hundredth. Use 3.14 to approximate

Thank You!

Answers

Answer:

19.42 ft

Step-by-step explanation:

Triangle Outer Perimeter:

5ft + 5ft = 10ft

Semi-Circle Outer Perimeter:

First let's find the circumference of the entire circle:

Circumference = 2πr

Circumference = 2π * 3

Circumference = 6π

Circumference = 6(3.14)

Circumference = 18.84

Now to find the perimeter of the semicircle, we divide that value by two:

6π = 18.84

(6π)/2 = (18.84)/2

3π = 9.42 ft

Total Outer Perimeter:

10 ft + 9.42 ft = 19.42 ft

-Chetan K

(12c(5th power)) x 3c(4th power)

How do we simplify this equation?

Answers

Answer:

You can combine the powers and bases to get 36c^9

Step-by-step explanation:

12*3=36

Rule of exponents= n^m*m^n is (n*m)^m+n

Hope this helps.

Help me please (I have to write something to send a question)​

Answers

Answer:

1. This helps me to know if the answer of an opposite integer will be positive or negative by simply subtracting their absolute values then put the sign of the largest absolute value between the two.

2. By identifying first the largest absolute value of the two integers that are being add up. Without, calculations, i will know the sign of the sum.

3. the picture attached is the answer

Step-by-step explanation:

hope it will help you

Which can be used to prove that lines P and Q are parallel?
A)same-side exterior angle theorem
B)converse of the alternate interior angles theorem
C)converse of the same-side interior angles theorem
D)converse of corresponding angles postulate

Answers

Answer:

B

Step-by-step explanation:

the converse of alternate interior angles theorem states that if two lines are intersected by a transversal forming congruent alternate interior angles then the lines are parallel.

Simplify 10/16 to the lowest terms and find an equivalent fraction that has a denominator of 32.

Answers

Answer:

5/8,  20/32

Step-by-step explanation:

Divide 10/16 by 2 as that is the GCF (greatest common factor) = 5/8

To find an equivalent fraction with a denominator of 32 multiply 10/16 by 2 = 20/32

Answer:

5/8; 20/32

Step-by-step explanation:

10/16 = (5 · 2)/(8 · 2) = 5/8 lowest term

 equivalent fraction  5/8 = ?/32  means 32÷ 8 = 4 × 5 =20

5/8 = 20/32

If using 10/16 = ?/32     means 32 ÷ 16 = 2 × 10 = 20

Again 10/16 = 20/32

Solve for x. 5x = 60

Answers

Answer:

[tex]x = \frac{60}{5} = 12[/tex]

..........................................

If a rectangular house is 50 feet wide and contains 2,500 sq/ft, what is its depth?

Answers

Answer:

50 ft

Step-by-step explanation:

The area of a rectangle = width × depth

area = 2,500 ft²

width = 50 ft

Substitute the values into the formula:

2,500 = 50 × depth

Divide both sides by 50 to find the depth:

2500 ÷ 50 = depth

depth = 50 ft

15 and 3 are a factor of 30?

Answers

Answer:

Yes, they're.

Step-by-step explanation:

30 = 1 * 2 * 3 * 5

Zahin has 4/6


kg of rice. She divides it into 5 equal portions to cook for dinner. How much rice, in kilograms, does she use to cook one portion for dinner?

fraction word problem

Answers

Answer:

2/15 or 0.13

Step-by-step explanation:

first you multiply 2/3 and 1/5 which gets you 2/15

A plumber has a fixed call out rate of $80 and has an hourly rate of $60

Answers

Answer:

do FYI kkkkkkjjj ghost oh go j

The expression for the total cost will be y = 80 + 60x.

What is an expression?

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that a plumber has a fixed call-out rate of $80 and an hourly rate of $60.

The expression will be formed by assuming the hourly rate to be x dollars. The expression will be written as below:-

y = 80 + 60x

Here y is the total cost 80 is the fixed cost and x is the hourly rate.

Therefore, the expression for the total cost will be y = 80 + 60x.

The complete question is given below:-

A plumber has a fixed call-out rate of $80 and an hourly rate of $60. Write an expression for the total cost.

To know more about an expression follow

https://brainly.com/question/24353476

#SPJ2

clause: if 0>1 then 0>0

Answers

Step-by-step explanation:

false

0 can't he greater then any integer.

Lesson Check (5.NBT.B.7)
1. What multiplication sentence does the model
represent?

Answers

Modeling the box representation Mathematically can be done using the multiplication sentence 0.06 × 4 = 0.24

The entire box has 100 holes ;

Each shading takes up 6 boxes which is 6/100 of the entire box ; Area per shading :

6/100 = 0.06

The number 6 set shading represented on the box = 4

The multiplication model :

Area per shading × number of shaded set

0.06 × 4 = 0.24

Therefore, the multiplication sentence which represents the model is 0.06 × 4 = 0.24

Learn more : https://brainly.com/question/25310757

What is the value sinθ?




12/13


13/5


5/12


5/13

Answers

Answer:

12/13

Step-by-step explanation:

I got a 100% on the test

The trigonometric function sin is the ratio of perpendicular to hypotenuse thus sinθ = 5/13.

What is a trigonometric function?

The fundamental 6 functions of trigonometry have a range of numbers as their result and a domain input value that is the angle of a right triangle.

The trigonometric function is only valid for the right angle triangle and it is 6 functions which are given as sin cos tan cosec sec cot.

As per the given right angle triangle,

By sine function.

sinθ = perpendicular/hypotenuse

sinθ = 5/13

Hence "The trigonometric function sin is the ratio of perpendicular to hypotenuse thus sinθ = 5/13".

For more information about the trigonometric function,

https://brainly.com/question/14746686

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If this is the graph of f(x)= a(x+h) +k, then:

Answers

Answer:

The forth one as both are positive  the domain  =  x ascending = + h and the range = y  where y = k the vortex and both include infinity

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Apie

will you please help me

Answers

Answer:

sure if im able, with what?

Step-by-step explanation:

UWUWUWUWIWUWUWUUWWUWUWUUWWUUWUWWUUWUWUWWUUWU2UWUWUWUWUWUWUWUWUWUUWUWUWU​

Answers

Answer:

UWUWUWUUWUWUWUWUUWUWUW

Step-by-step explanation:

UwU OwO

It takes 46 pounds of seed to completely plant a 5 acre field how many pounds of seeds are needed per acre

Answers

Answer:

I think 9 if im not correct i sincerely apologize

In the 2004 Summer Olympics, Adam van Koeverden of Oakville, Ontario, won two medals. He won the gold medal in the men’s 500 m kayak race, with a time of 1 min 37.9 s. He also won the bronze medal in the 1000 m race, with a time of 3 min 28.2 s. In which race did he row with greater speed?

Answers

Answer:

Adam van Koeverden at the 2004 Olympic at Athens. Van Koeverden paddled to victory in the Men's K1 500 m kayaking event, adding a gold medal to the bronze he won days earlier in the 1000 m to become Canada's first double medallist in the summer Olympics since Donovan Bailey and Clara Hughes at Atlanta in 1996.

Step-by-step explanation:

Pls mark me as brainliest

Premier Consulting’s two consultants, Avery and Baker, can be scheduled to work for clients up to a maximum of 160 hours each over the next four weeks. A third consultant, Campbell, has some administrative assignments already planned and is available for clients up to a maximum of 140 hours over the next four weeks. The company has four clients with projects in process. The estimated hourly requirements for each of the clients over the four-week period are as follows:
Client Hours
A1 180
B2 75
C3 100
D4 85
Hourly rates vary for the consultant–client combination and are based on several factors, including project type and the consultant’s experience. The rates (dollars per hour) for each consultant–client combination are as follows:
Client
Consultant A B C D
Avery1 100 125 115 100
Baker2 120 135 115 120
Campbell3 155 150 140 130
a. Develop a network representation of the problem.
b. Formulate the problem as a linear program, with the optimal solution providing the hours each consultant should be scheduled for each client to maximize the consulting firm’s billings. What is the schedule and what is the total billing?
c. New information shows that Avery doesn’t have the experience to be scheduled for client B. If this consulting assignment is not permitted, what impact does it have on total billings? What is the revised schedule?

Answers

Answer:

The correct network diagram is the first one.

Step-by-step explanation:

Max 100 x 11 + 115 x 23 + 125 x 12 + 120 x 24 + 1 x 12 + 120 x 21 + 140 x 33 + 135 x 22 + 130 x 34 + 115 x 13 + 155 x 31 + 1

Excel formulation:

А B с D E F G H 1 1 2 2 3 4 5 6 7 Flow RHS Avery =SUM(C3:06) 160 Baker =SUM(C7:C10) 160 Campbell =SUM(C11:C14) 140 A =SUM(C3,

Solver inputs:

Set Objective: $D$15 To: Max Min O Value Of: 0 By Changing Variable Cells: $C$3:$C$14 + Subject to the Constraints: $G$3:$G$5

Solution:

Amount Billing

Avery-Client A 0 0

Avery-Client B 40 5000

Avery-Client C 100 11500

Avery-Client D 0 0

Baker-Client A 40 4800

Baker-Client B 35 4725

Baker-Client C 0 0

Baker-Client D 85 10200

Campbell-Client A 140 21700

Campbell-Client B 0 0

Campbell-Client C 0 0

Campbell-Client D 0 0

Total Billing  57925

Make 'Avery to B' zero in the solver entry and run the model again:

Amount Billing

Avery-Client A 0 0

Avery-Client B 0 0

Avery-Client C 100 11500

Avery-Client D 40 4000

Baker-Client A 40 4800

Baker-Client B 75 10125

Baker-Client C 0 0

Baker-Client D 45 5400

Campbell-Client A 140 21700

Campbell-Client B 0 0

Campbell-Client C 0 0

Campbell-Client D 0 0

Total Billing  57525

3+(-5)+9-12÷2

lol easy

Answers

The answer is 1 Do you want me to explain or nah

When converted to a household measurement, 9 kilograms is approximately equal to a

Answers

Answer:

D) 19.8 lbs

Explanation:

1kg in household measurement is equal to 35.274 ounces. 35.274*9=317.466 ounces.

1kg is also equal to 2.205 lbs. 9*2.205=19.8416

9 kg is also equal to 9000 grams, but grams are not a part of the household measurement system

a) 9000 grams. b) 9000 ounces. c) 19.8 ounces. d) 19.8 pounds.

This leaves us with 19.8 lbs

Identify the independent and dependent variables in the following situation: Julie notices that her plant grows one inch for every liter of water that it receives. Question 17 options: The independent variable is the type of tap water used, and the dependent variable is the amount of water the plant receives. The independent variable is the amount of water the plant receives, and the dependent variable is the height of the plant. The independent variable is the height of the plant, and the dependent variable is the number of pieces of fruit the plant produces. The independent variable is the height of the plant, and the dependent variable is the amount of water the plant receives.

Answers

Determine the independent variable and dependent variable in the situation

The independent variable is the "amount of water the plant receives", and the dependent variable is the "height of the plant".

An independent variable is a the variable which causes a change.

A dependent variable is the result or effect of a change.

Therefore, the independent variable from the phenomena is "amount of water" and the dependent variable is the "height of the plant".

Read more:

https://brainly.com/question/23700645

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