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:

https://brainly.com/question/8120556


Related Questions

A cone has a volume of 3 pi and a radius of 1 what is its height

Answers

Answer:

The answer should be 2

Step-by-step explanation:

16 pi    = 1/3  pi    r^2    ( 12)        Divide both sides by pi

16        = 1/3        r^2     (12)         1/3   * 12 = 4

16         = 4          r^2                     divide both sides by 4

4           =             r^2                     You should be able to take it from here !

Simplify: 10 divided by 1/4
1) 40
2) 1/40
3) 2 and 1/2
4) 20

Answers

Answer:

1

Step-by-step explanation:

10*4=40

so 1

what is the distance between -14 and 36 feet

Answers

Answer:

Your awnser is 50

Step-by-step explanation:

Have a great day! :D

Answer:

50

Step-by-step explanation:

because if you look on a line graph -14 then it takes 14 feet to get it to 0 then 36 more to get it even with 36 then add 14 and 36 and u get 50

Josh has 4 boxes of candy to share with his 20 classmates. If each classmate receives the same amount of candy, how much candy should each classmate get? Your answer​

Answers

Each classmate would get 1/5 of a box.

Answer:

1/5 of a box of candy

Step-by-step explanation:

Because John has 4 boxes of candy, he needs to divide this by his 20 classmates. So we have 4/20, which reduces to 1/5. So each classmate would get 1/5 of a box of candy (assuming that Josh himself does not get any candy).

What is the answer??????????????????????

Answers

Answer:

I think so Yes

Step-by-step explanation:

Sasaasaasasaassaaaassjsjsjhdhhsjwia

Answers

Answer:

vdksirbdhkbwgxi2ndhk djzm ez my dude

How did you even get 10?

Answers

A

10 for what? is there a problem? I could help solve it

Step-by-step explanation:

Which of these is part of the solution for x > -5?
A
-15
B
-6
C
-5
D
5

Answers

Answer:

d

Step-by-step explanation:

because its reverse for negative the lower the better or in this case 5 because its on the other side of 0

Answer:

D. 5

Step-by-step explanation:

define oayday lenders​

Answers

Short term and low value,high interest cash loaners

Which rational number equals 0 point 2 with bar over 2

Answers

1. 0.2/2 = 1 and one is also rational

To order a pizza, you must choose a type of crust, a type of sauce, and also a size. How could you determine the number of outcomes?

Answers

# of different crust choices x # of different sauces x # of different sizes = the # of outcomes u'll end up w :)

Answer:abe

Step-by-step explanation:

The sum of two numbers is 50. One number is 28 more than the other. Find the numbers.

Answers

Answer:

Step-by-step explanation:

28+22 is 50

Answer:

12+28=50

Step-by-step explanation:

Cuanto es 1+2:
pOrFa NoSe ​

Answers

Answer:

3

Step-by-step explanation:

es hora de comer

How do I do Question 9?

Answers

Answer:

$9.30 x 30 minutes and $9:30 x 5 hours

Step-by-step explanation:

If I did the math right it should be: he should earn $186. Hopefully I was helpful.

Don’t mind the check mark

Answers

Answer:

A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

when moving things over the equation sign, you must switch the sign (positive or negative) they didn't switch it

find the perimeter n area pls !

Answers

Answer:

6yx

Step-by-step explanation:

The graph of r = -3 + 5cos theta is symmetric about the __________.
a.
y-axis only
c.
Origin only
b.
x-axis only
d.
No symmetry

Answers

I believe it it will be the across the y axis

The graph of r = -3 + 5cosθ is symmetric about the option (B) x axis only

What is Symmetry?

In mathematics, symmetry has a more precise definition, and is usually used to refer to an object that is invariant under some transformations; including translation, reflection, rotation or scaling.

Given that,

The graph of r = -3 + 5cosθ is symmetric about what?

When we plot the graph we can say that it is symmetric about x axis only.

Hence, the graph of r = -3 + 5cosθ is symmetric about the option (B) x axis only

Learn more about Symmetry click;

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#SPJ3

Can You be more specific

Answers

Answer:

What's the question you need help on?

How may I help you today?

Please help me answer this!!!!

Answers

Step-by-step explanation:

This is some of the most simple mathematics. You should seriously learn this, this will not being going away for a while and you'll have to cheat for basically every single answer if you don't learn it.

I need help with number 8

Answers

Answer:

507.6 yd³

Step-by-step explanation:

54x9.4=507.6 yd³

Please help ASAP really need this

Answers

Answer:

[tex]21.79 + c \leq 25[/tex]

Joshua can spend up to 3.21 on a card.

Step-by-step explanation:

[tex]21.79 + c \leq 25[/tex] is the correct equation because Joshua is spending 21.79 on flowers, a certain amount on the card, and the maximum he can spend is 25. That is why you use the less than or equal to sign.

To solve, first subtract 21.79 from both sides to get: [tex]c \leq 3.21[/tex]. This means that Joshua can spend up to 3.21 on a card.

Hope it helps!

Which value is the solution for this equation2
2(a + 3) -4

Answers

Answer:

a=-1

Step-by-step explanation:

2(a+3) -4

you bring it to the other side

2a + 6-4 so 2a+ 2

2a =-2

a =-1

if you divide a positive by positive, do you get a negative or another positive?

Answers

Another positive I believe sorry if I’m wrong

Answer:

Positive

Step-by-step explanation:

If you divide a positive by positive, you will get a positive.

The Aquarium charges $16.00 for admission and $2.50 for each ride ticket. Mountain Rides charges $25.00 for admission and $0.25 for each ride ticket. For what number of ride tickets will the cost be more at The Aquarium?​

Answers

Answer:

B

Step-by-step explanation:

Because 16 + 2.50 is less than 25 + 0.25x


PLEASE HELP ME !!!! 17pts

Consider the graph of f shown be

Estimate the average rate of change from X = 2 to x = 5.

Answers

Answer:

Average rate of change = [tex]\frac{4}{3}[/tex]

Step-by-step explanation:

We have to calculate the average rate of change of the graph at x = 2 to x = 5.

From the graph attached,

At x = 2,

f(2) = 3

At x = 5,

f(5) = 7

Since, average rate of change of the function between x = a and x = b is defined by,

Average rate of change = [tex]\frac{f(b) - f(a)}{b - a}[/tex]

Therefore, average rate of change of the function represented by the graph will be = [tex]\frac{7-3}{5-2}[/tex]

           = [tex]\frac{4}{3}[/tex]

Solve by matrix 2c+4p+2b=34, c+3p+b=22 , 3c+2b=17

Answers

9514 1404 393

Answer:

  (c, p, b) = (3, 5, 4)

Step-by-step explanation:

A matrix solver is useful for this purpose. Most graphing calculators will do this, as will a number of web sites. Attached is the output from math software that also solves the matrix equation easily.

The solution is (c, p, b) = (3, 5, 4).

_____

The augmented matrix for the given set of equations is ...

  [tex]\left[\begin{array}{ccc|c}2&4&2&34\\1&3&1&22\\3&0&2&17\end{array}\right][/tex]

Help me out with this

Answers

Answer:

What is 2x + 5 (y-1) when x=8 and y=5

Step-by-step explanation:

HELP ME

Answer:

40:60:80

Step-by-step explanation:

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

Figure ABCD is a parallelogram.
What is the perimeter of ABCD?
А
4y - 2
B
O 14 units
O 38 units
O 44 units
O 49 units
3x - 1
2x + 2
D
2y + 6
С

Answers

Answer:

ANSWER IS 44 UNITS

Step-by-step explanation:

EDGE 2021

The perimeter of the parallelogram is of 44 units.

What is the perimeter of a figure?


The perimeter of a figure is given by the sum of all it's outside measures.

In this problem, since it is a parallelogram, we have that:

AD = BC

Hence:

3x - 1 = 2x + 2

x = 3

Hence:

AD = BC = 3x - 1 = 3(3) - 1 = 8

We also have that:

AB = DC

4y - 2 = 2y + 6

2y = 8

y = 4

Then:

AB = DC = 4y - 2 = 4(4) - 2 = 14

Thus, the perimeter is:

2 x (14 + 8) = 44 units.

More can be learned about perimeter at https://brainly.com/question/10489198

Sam can ride his bike 4.2 kilometers in 6 minutes. Amanda can ride her bike 3.2 kilometers in 8 minutes. Jesse can ride his bike 3.0 kilometers in 5 minutes.

Which rider might go farther in 1 minute?

Answers

Answer:

jesse or sam i think its sam by a little bit.

Step-by-step explanation:

Answer:

Sam

Step-by-step explanation:

Find all of their speeds to find how far they will go in 1 minute, by dividing the number of kilometers by the number of minutes:

Sam

4.2/6

= 0.7 km/min

Amanda

3.2/8

= 0.4 km/min

Jesse

3/5

= 0.6 km/min

Since 0.7 is the greatest number, that means Sam is the rider that will go the farthest in one minute.

Find the equation of the line with slope –5/2
and y-intercept (0,0).

Answers

Answer:

y= -5/2X

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

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