f (x)= 1/x-4 -6. Find the inverse of f(x) and its domain.

F (x)= 1/x-4 -6. Find The Inverse Of F(x) And Its Domain.

Answers

Answer 1

Answer:

B Or D

Step-by-step explanation:

Answer 2

The inverse function is [tex]f^{-1}(x) = \frac{1}{x + 6} + 4[/tex] and the domain is [tex]x \ne 6[/tex]

The function is given as:

[tex]f(x) = \frac{1}{x - 4} - 6[/tex]

Express f(x) as y

[tex]y = \frac{1}{x - 4} - 6[/tex]

Swap the positions of x and y

[tex]x = \frac{1}{y - 4} - 6[/tex]

Add 6 to both sides

[tex]x + 6= \frac{1}{y - 4}[/tex]

Multiply both sides by y-4

[tex](x + 6)(y -4) =1[/tex]

Divide both sides by x + 6

[tex]y - 4 = \frac{1}{x + 6}[/tex]

Add 4 to both sides

[tex]y = \frac{1}{x + 6} + 4[/tex]

Rewrite as:

[tex]f^{-1}(x) = \frac{1}{x + 6} + 4[/tex]

Hence, the inverse function is [tex]f^{-1}(x) = \frac{1}{x + 6} + 4[/tex] and the domain is [tex]x \ne 6[/tex]

Read more about inverse functions at:

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Related Questions

If f and g are two functions defined by
f(x) = 3x + 5 and g(x) = x +1, then g(f(x) is

Answers

Answer:

9x^2 +30x +26.  g(f(x)) = (3x + 5)^2 + 1

Step-by-step explanation:

The value of function g(f(x)) will be (3x + 8).

What is Function?

A relation between a set of inputs having one output each is called a function.

Given that;

The value of functions are;

f(x) = 3x + 5 and g(x) = x + 1

Now, Find the value of function f(g(x)) by substituting the given values as;

f(g(x)) = f (x + 1)

        = 3 (x + 1) + 5

        = 3x + 3 + 5

        = 3x + 8

Thus, The value of function g(f(x)) will be (3x + 8).

Learn more about the function visit:

https://brainly.com/question/20384115

#SPJ2

A polygon has 29 sides.

Work out the sum of its interior angles.

Answers

Answer:

29

Step-by-step explanation:

Answer:

n=29sides

sum of interior angle of polygon=(n-2)180=(29-2)180=27×180=4860°

what is the value of v​

Answers

Answer:

43

Step-by-step explanation:

v+47 is equal to 90 degrees, because it's a right angle

v+47=90

to get 90 in this equation, v must equal 43.

that means v=43

The answer would be v=43 hope this helps

Fred earns $ 45 mowing the lawn. He spends $ 5 on music, and puts half of what's left in a savings account. He then gets another $ 10 for washing his neighbor's car. First, write the expression that represents the number of dollars Fred keeps (and does not put in his savings account), and then simplify.

Answers

Answer:

$30

Step-by-step explanation:

Given that :

Amount earned for mowing = $45

Amount spent on music = $5

Amount earned for washing neighbor's car = $10

Amount saved = half or remaining amount

Amount of dollars Fred keeps =

Amount Fred keeps:

[(Amount earned - amount spent) / 2] + $10

[($45 - $5) / 2] +

($40 / 2) + $10

= $20 + $10

= $30

someone help ple it's easy ​

Answers

ABCG i think im so sorry if im wrong

Carlos bought a new computer printer for $110.50 and some ink cartridges
for $8.25 each. He spent a total of $176.50.

The equation $176.50 = $110.50 + $8.25c can be used to solve this
problem. Which two mathematical operations do you need to perform in
order to solve the equation for c?

A. addition and multiplication

B. division and multiplication

C. subtraction and division

D. multiplication and subtraction

Answers

The answer is C.) subtraction and division
This is because to solve for C you need to isolate it. So you subtract 110.50 to both sides and then divide the product by 8.25 to get C. Therefore you subtract and divide to solve the equation for C.

Michael works 30 hours per week and makes $15.00 per hour. How much does he make in a 4-week month?

Answers

Answer:

$1,800

Step-by-step explanation:

If Michael works 30 hours a week for $15 an hour we can use the equation:

15 x 30 = 450.

Now just multiply the given answer by 4 and you're left with:

450 x 4 = 1800.

The sum of two numbers is 70. The difference of the two numbers is 32. What are the two numbers.

Answers

51 + 19 = 70

51 - 19 = 32

hope that helped!!

Answer:

51 and 19

Step-by-step explanation:

Chris works at a jewelry store, and he earns 4% commission on all sales that he makes. If Chris's jewelry sales total $1,370, how much will he earn in commission?

Answers

$1370 x .04 (4%) = $54.80

Explain what is wrong with each of the following randomization procedures, and describe how you would do the randomization correctly.

a. Twenty students are to be used to evaluate a new treatment. Ten men are assigned to receive the treatment, and 10 women are assigned to be the controls.
b. Ten subjects are to be assigned to two treatments, 5 to each. For each subject, a coin is tossed. If the coin comes up heads, the subject is assigned to the first treatment: if the coin comes up tails, the subject is assigned to the second treatment.
c. An experiment will assign 40 rats to four different treatment conditions. The rats arrive from the supplier in batches of 10, and the treatment lasts two weeks. The first batch of 10 rats is randomly assigned to one of the four treatments, and data for these rats are collected. After a one-week break, another batch of 10 rats arrives and is assigned to one of the three remaining treatments. The process continues until the last batch of rats is given the treatment that has not been assigned to the three previous batches.

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

A.)

The problem with the here is that we might have introduced bias into our sample by failing to randomize the assignment of gender. By pacing the male gender in the treatment group and females into the control group, this might spring up a spurious association in our experiment as a result of a possible confounding variable, gender. Therefore, assignment of subject shouldn't be on the basis of gender.

2.)

Using a coin toss in placing subjects into groups will give a good random assignment, however, since only ten subjects are available and of which 5 will be placed into each group, there is no certainty that there will be equal number of heads and tails during the 10 flips. Alternatively, a random selection of the name of the 10 subjects could be chosen from a raffle.

3.)

Each batch of rat might be homogenous and hence will affect our experiment and definitely our conclusion. It would be best to assign rats from each batch to all treatment groups in other to obtain a good random design

Sara has 6 chapters to read over 4 days. How many chapters will she need to read each day?

Answers

Answer:

1 and a half per day.

Step-by-step explanation:

6/4 = 1.5

Day 1: Chapters 1 and half of 2

Day 2: Chapters half of 2 and 3

Day 3: Chapters 4 and half of 5

Day 4: Chapters half of 5 and 5

Help me please with this

Answers

Since both angle are congruent (equal/same), which means that both side is equal to 40 degrees, we will put the equation like this:

5x - 5 = 40

Now we’ll solve for x:

5x - 5 = 40
+ 5 + 5 (Add 5 to both sides)

5x = 45
—- —— (Five both side by 5)
5 5

x = 9

Now we left with x, so x is equal to 9.

1 is what % of 200 ?

Answers

Answer:

1 is 0.5% of 200

Hope it helped u,

pls mark as the brainliest

^_^

(3x^3+2x^2-3x+4)divided by (x+2)

Answers

Answer:

3x^3+2x^2-3x+4/x+2

Step-by-step explanation:

3x^4+2x^3-3x^2+2x+4/x should be your answer

It will cost $2 per square foot to plant grass in the park. What will be the total cost, in dollars, of planting the grass?​

Answers

Answer:

$1040

Step-by-step explanation:

Which lists the fractions 4/7,5/9,and 2/3 in order from least to greatest?

Answers

2/3, 4/7, 5/9
Ausixownakalox

The positive integer less than 7

Answers

Answer:

6,5,4,3,2,1

Step-by-step explanation:

Any number below 7 that is positive

6,5,4,3,2,1 is the correct answer

Pls I need for both

Answers

Answer:

slope=(3--5)/(7--4)=8/11

Step-by-step explanation:

slope=(3-4)/(10-8)=-1/2

Please answer with explanation, I don't understand.

[tex]\sqrt{x^2-14x+49} =x-7[/tex]

Answers

Answer: x ≥ 7

Step-by-step explanation:

You have to square both sides of the equation. You can manipulate an equation or function any way imaginable as long as it is done equally and helps the problem become easier. If we square this, the radical will cancel and we will get two trinomials equal to each other.

[tex]x^2-14x+49=(x-7)^2\\x^2-14x+49=x^2-14x+49[/tex]

We can see the two expressions are exactly equal to each other. All real numbers are solutions, besides a few. These few are when the radical is equal to a negative number. So lets set up an inequality stating that the radical must be greater than or equal to 0.

[tex]x^2-14x+49\geq 0\\(x-7)^2 \geq 0\\x \geq 7[/tex]

Connie deposited $1200 in a new account that earns 3% simple interest. After 7 years, how much interest will she have earned?​

Answers

Answer:

$252

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 3%/100 = 0.03 per year,

then, solving our equation

I = 1200 × 0.03 × 7 = 252

I = $ 252.00

The simple interest accumulated

on a principal of $ 1,200.00

at a rate of 3% per year

for 7 years is $ 252.00.

4x(x2-4x+5)-2x2(2x2-8x-1)

Answers


Simplify the expression.
−4x^4+20x^3-14x^2+20x

help pls i need this asap

Answers

the answer is C
The length of a,b is 15
The length of j,m is 10
The width of d,c is 5
The width of m,l is 6
Length over length does not equal
Width over width

What is the value of the expression (Three-fourths) cubed?
StartFraction 81 Over 256 EndFraction
StartFraction 27 Over 64 EndFraction
StartFraction 9 Over 12 EndFraction
StartFraction 27 Over 4 EndFraction

Answers

Answer:

started fraction 27 over 64 end fraction step by step the expression itself three fourths cubed

Answer:

the answer is   27/64

Step-by-step explanation:

(3/4)x(3/4)x(3/4) is 27/64

Evaluate the geometric series below. Please show your work.

Answers

Answer:

-1310715

Step-by-step explanation:

By the formula of a geometric sequence, we work out:

[tex]\sum_{k=1}^{18} -5 \cdot 2^{k-1}\\= -5 \cdot \sum_{k=0}^{17} 2^{k}\\= -5 \cdot \frac{2^{18}-1}{2-1}\\= -1310715[/tex]

36 : 52 = __:__
a) 18:26
b) 2:3
d) 2:2
d 9:13

Answers

The answer to the following question is letter D

In the diagram below AB is parallel to CD . What is the value of x ?

Answers

The answer is B (x=120)

Help plssssssssssssss this counts for my grade

Answers

Answer:

8.04063*10^2

Step-by-step explanation:

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the

10. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

Answer:

804.063

Step-by-step explanation:

8 x 100 = 800, 4 x 1 = 4, 6 x 1/100 = 0.060, and 3 x 1/1,000 = 0.003.

A person travels 10 miles due north, then 5 miles due west, then 14 miles due north and then 12 miles due east. How far is that person from their starting point?’ I will give brainlest to the best answer.

Answers

Answer:

Step-by-step explanation:

North and Souths get added together. North is positive and South is negative.

East and West get added together. East is positive and West is negative.

This will get us two numbers for a triangle that we can make starting at the origin and ending where the two numbers take us.

10 miles north + 14 miles north = 24 miles north

10 + 14 = 24

5 miles west + 12 miles east = 7 miles east

-5 + 12 = 7

See attached image for picture and rest of work.

How to find the Perimeter?

Answers

Answer:

8+2[tex]\sqrt{20\\}\\[/tex]

Step-by-step explanation:

2+2+2+2+[tex]\sqrt{20\\}\\[/tex]+[tex]\sqrt{20\\}\\[/tex]=8+2[tex]\sqrt{20\\}\\[/tex]

4^2+2^2=h^2

20=h^2

h=[tex]\sqrt{20\\}\\[/tex]

Find the measure of <2!
Answer fast pls, 15 pts! <3

Answers

Answer:

65

Step-by-step explanation:

180-115=65

It needs to be a total of 180 so just do what I did :)

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