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What is the inverse of [tex]f(x)=\frac{2}{x-1} +6?[/tex]
[tex]f^{-1} (x)=\frac{2}{x-1} +6[/tex]
[tex]f^{-1} (x)=\frac{2}{x} +7[/tex]
[tex]f^{-1} (x)=\frac{2}{y-6} +1[/tex]
[tex]f^{-1} (x)=\frac{2}{x-6} +1[/tex]

Answers

Answer 1

Answer:

[tex] {f}^{ - 1} (x) = \frac{2}{x - 6} + 1[/tex]

Step-by-step explanation:

we will subistitute f(x) by y and solve the equation in order to get the value of x,

then we subistitute x by y and y by x and y=f^-1(x)


Related Questions

I need help on question 5 - 6 - 7 - 8 - 9 - 10 - 11 - 12 please

Answers

Answer:

The solution is given in the photo

Which situation could this graph represent?

a. speed of a car starting from a stop sign and then approaching a stoplight
b. riding your bike slowly up a steep hill and then quickly down the other side
c. total rainfall during a rainy day
d. temperature as the weather changes from rainy to snowy

Answers

Answer:

A because the other answer choices are not associated with what is in the graph

Choice A is the correct answer.

A circle has diameter 18 inches, and a chord is 14 inches long. What is the distance in inches from the chord to the center of the circle, to the nearest hundredth?

Answers

Answer:

Let O be the center of a circle whose radius is r cm , in which AB= 14 cm long

cord is at a distanceof 24 cm from O. Draw a perpendicular OD on AB , thus ,

OD= 24 cm.

In right angled triangle. ODB

OB^2 = OD^2+ DB^2

r^2 =(24)^2+(AB/2)^2 = 576+(14/2)^2

r^2 = 576+ 49=625

r = √625. =25 cm. Answer.

ILL MARK BRAINLIEST PLEASE HELP! Solve and graph its solution:

In 2005, the average cost of a 32" flat-screen TV was $1,700. In 2015, the average cost of a 32" flat-screen TV was $550. Assuming those were the least and greatest costs during that period, write a compound inequality that describes the cost c of a 32" flat-screen TV between 2005 and 2015.

Answers

Answer:x < 1,700. ×> 550

Step-by-step explanation:

Answer:AHHHH

Step-by-step explanation:

Please Help Question in picture

Also could you drop your socials so I can ask a few more questions through dm's im running low on brainly points

Answers

Answer:

the coordinates of B are; (7,3)

find gain percent when cost price is rs 804 and selling price is rs 1004​

Answers

Selling Price = 1004r

Cost Price = 804r

1004-804=200r

Gain% = 200/804 · 100 = 20000/804 = 23.80% or 29%

Hello can some one please help me

Answers

A
hope this is helpful!

Which equation shows a proportional relationship between x and y?
A. y = 3x + 1
B.y= 4x
C.y = -3x - 2
D.y=9

Answers

Answer:

A

Step-by-step explanation:

(3x-16) = (6x+7) = (11y-32)

Answers

Answer:

11y = -32  

Step-by-step explanation:

Please help this is due on Monday! Will give brainliest!!!!

Answers

Answer:

The awnser in the first option. A

A manufacturer is cutting plastic sheets to make rectangles that are 11.125 in. By 7.625 in. Each rectangles length and width must be within 0.005 in. Of the desire size . Write and solve inequalities to find the acceptable range for the length / and the width w

Answers

The inequalities to find the acceptable range for the length and the width w are - 0.005 ≤ l - 11.125 ≤ 0.005 and - 0.005 ≤ w - 7.625 ≤ 0.005 respectively.

length = 11.125 in

width = 7.625 in

Range of value must be less than orequal to 0.005 in

let

l = Length

w = width

Length inequality:

l - 11.125 ≤ 0.005

write as a compound inequality

- 0.005 ≤ l - 11.125 ≤ 0.005

Width inequality:

w - 7.625 ≤ 0.005

write as a compound inequality

- 0.005 ≤ w - 7.625 ≤ 0.005

Therefore, the inequalities to find the acceptable range for the length and the width w are - 0.005 ≤ l - 11.125 ≤ 0.005 and - 0.005 ≤ w - 7.625 ≤ 0.005 respectively.

Learn more about inequality:

https://brainly.com/question/11234618

Which of the following is the rational exponent expression of 4 square root of f?
OF
Of4
O4f
4

Answers

the answer is A f1/4

The product of three less than a number and eight is nine

Answers

Let n = the number
(n-3)(8)=9
Multiply
8n-23=9
Add 23 to both sides
8n=32
Divide by 8 on both sides
n=4

Answer:

[see below]

Step-by-step explanation:

Three less than a number (x) would be: x - 3

"The product of three less than a number and eight" would be 8(x-3).

The product of three less than a number and eight is nine would be:

8(x-3) = 9

[tex]8(x-3) = 9\\\rule{150}{0.5}\\8x - 24 = 9\\\\8x - 24 + 24 = 9 + 24\\\\8x = 33\\\\\frac{8x = 33}{8}\\\\x = \frac{33}{8}[/tex]

Hope this helps.

Eight times a certain number plus ten is equal to twelve times the same number minus seven

Answers

The answer is: 8x+10=12x-7
So the number you are looking for is: -12x+8x=-7-10
-4x=-17
4x=17
The answer is 17/4 or 4.25

A carpenter is framing an opening in a wall to hang a rectangular door. Which properties must the door frame have to ensure that the door hangs properly?
1a) The top and bottom are parallel.
2b) The top and right side form a right angle.
4c) The left side and right side are parallel.
5d) The left side and bottom form a right angle.

Answers

1, 2, 4, and 5 are all correct.

YOU guys can write a story or a situation that can be represented by the given equation.

4a + 5 = 12a - 11

Thank you :)​

Answers

Answer:

If you have a party and your pizza was split up into 16 pieces, 8 people should be able to have 2 pieces.

Step-by-step explanation:

A pack of cinnamon-scented pencils sells for $6.00. What is the sales tax rate if the total cost of the pencils is $6.42?

Answers

Answer:

7%

Step-by-step explanation:

The additional tax is $0.42, we just have to find how much percent the tax ($0.42) is of the original cost ($6.00).

To do this, we can use the following formula:

[tex]\frac{x}{y} = \frac{p}{100}[/tex]

Where x is the part (in this case, the tax ($0.42)), y is the whole (in this case, the original cost ($6.00)), and p being the percent (the tax rate in this case). We can replace the values in:

[tex]\frac{0.42}{6} = \frac{p}{y}[/tex]

We can cross multiply and simplify to find the tax rate:

[tex]0.42y=600\\ y=\frac{600}{0.42} \\ y=0.07[/tex]

We're not done yet! We still need to turn it to percent. But we can do this by just multiplying our result by 100:

[tex]0.07 * 100=7[/tex]

Place the percent sign and we are done.

Hope this helps.

whats the slope of the line that passes through (3,-3) with the slope of 3?

Answers

Answer:

y=3x-12

Step-by-step explanation:

Assuming that you're asking what's the equation of the line that passes through (3, -3) with the slope of 3.

y-y1=m(x-x1)

y-(-3)=3(x-3)

y+3=3(x-3)

y=3x-9-3

y=3x-12

How much Lilac would earn if she deposited ₱25,000.00 on the bank with 3% interest per year after 5 years?

paki answer po T-T

Answers

Answer:

p= 25000

I=3%

t=5yrs

a= pti÷ 100

25000*3*5÷100

3750

some one plz help!!! due in 10 min

Answers

Step-by-step explanation:

since f'(x) = 2f(x) and f(3) has no term of x (so, there must be a constant that eliminates x for x = 3), we get

f(x) = x²/9 × c

c = m×e^n

f(1) = 1/9 × m×e^n = 5

=> m×e^n = 45

f(3) = 9/9 × m×e^n = 45

m = 45

n = 0

WILL GIVE BRAINLIEST
HELP ASAP!! WILL ADD 5 STAR RATING !!!

ANY AND ALL LINKS OR WRONG ANSWERS WILL BE REPORTED !!!!

[please put in correct order]

Answers

Answer:

It the W or the orange point

A gear ratio is the ratio of the teeth on the front sprocket and the teeth on the rear sprocket. If a bike has 36 teeth on the front sprocket and 12 teeth on the rear sprocket, what is the gear ratio for the bike?

1

Answers

Answer:

The gear ratio is 36 to 12 however it can be simplified to a 6-2 gear ratio.

Answer:

answer was 3

Step-by-step explanation:

just did the test

I need these answers in 5 MINUTES PLZ HELP

Answers

Answer:

30? I might be wrong soooo

Step-by-step explanation:

15*2=30

A potter makes cups and saucers in a factory. He is paid $1.44 per
batch of cups and $1.20
per
batch of saucers. What is his gross pay if
he makes 9 batches of cups and 11 batches of saucers in one day?

Answers

Answer:

4

Step-by-step explanation:

a lakeis 200ft wide. two boats start to move towards one another from opposite shores.In one minute ,the first boat goes 40 ft and the second one goes 30 ft they are very slow! what would be the distance between the boats after 1 minute

Answers

The distance between the boats after 1 minute would be 130 ft.

Given that a lake is 200ft wide, and two boats start to move towards one another from opposite shores, and in one minute, the first boat goes 40 ft and the second one goes 30 ft, to determine what would be the distance between the boats after 1 minute the following calculation must be performed:

Total width - boat distance 1 - boat distance 2 = Distance after 1 minute 200 - 40 - 30 = X 130 = X

Therefore, the distance between the boats after 1 minute would be 130 ft.

Learn more about maths in https://brainly.com/question/25808345

75+45+x/69=180
solve for x please :)

Answers

Answer: just add 75 and 45 + x and do division for 69 ok  but times the 45 with 69 ok good luck

Step-by-step explanation:

What is the value of the expression 6 and 3 over four multiplied by negative 11. 5?.

Answers

The value of the expression (6¾) × -11.5 is; -77⅝

We want to find the value of;

(6¾) × -11.5

Let us change 6¾ to improper fraction to get;

27/4

Also,let's change -11.5 to an improper fraction to get; -115/10

Thus;

(6¾) × -11.5 = 27/4 × -115/10

>> (-115 × 27)/(40)

>> 3105/40

>> -77⅝

Read more about simplification of fraction at; https://brainly.com/question/15225407

if a line has slope -2/3 and passes through point (-3,7) what is the y intercept

Answers

Answer:  The y-intercept is 5.

Step-by-step explanation:

We can write what we know in the form of a slope intercept equation,

y=mx + b,

where m is the slope and b the y-intercept (the value of y when x=0).

We are given the slope:

y = -(2/3)x + b

We need a value of b that forces the line through the point (-3,7).  Enter the point and solve for b:

y = -(2/3)x + b

7 = -(2/3)*(-3) + b  for  (-3,7)

7 = 2 + b

b = 5

The equation becomes y = -(2/3)x + 5

The y-intercept is 5.

See attachment.

I didn't pay attention today​

Answers

Answer:

because you was busy and nor interested in paying attention.

school lunches cost 35.50 per week. About how much would 15.5 week of lunches cost?

Answers

Since you go to school for 5 days a week, the answer is going to be 550.25 for 15.5 weeks.

Hope that helped?

Answer:

15.5 weeks of school lunch would cost $550.25

Step-by-step explanation:

The unit rate is already given here, so all you need to do here is multiply the cost per week by the number of weeks. You can even think of it as canceling out the weeks:

[tex]\frac{cost}{week}\times week=cost[/tex]

[tex]35.50\times15.5=550.25[/tex]

15.5 weeks of school lunch would cost $550.25

You could also write this as a linear equation with a slope of 35.5 and a y-intercept of 0:

[tex]y=35.50x[/tex]

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