f(x) =4 over x - 3
g(x) =x - 2 over x
(a) Express the inverse function f −1
in the form f ^-1 (x)

Answers

Answer 1

Step-by-step explanation:

[tex]f(x) = \frac{4}{x - 2} \\ g(x) = \frac{x - 2}{x} [/tex]

[tex] {f}^{ - 1} (x) ... \\ x = \frac{4}{y - 2} \\ y - 2 = \frac{4}{x} \\ {f}^{ - 1} (x) = \frac{4}{x} + 2[/tex]

[tex] {g}^{ - 1} (x)... \\ x = \frac{y - 2}{y} \\ xy = y - 2 \\ xy - y = - 2 \\ y(x - 1) = - 2 \\ {g}^{ - 1} (x) = \frac{ - 2}{x - 1} [/tex]


Related Questions

please help me?

please and thanks

Answers

Answer:

-[tex]\frac{35}{2}[/tex]

Step-by-step explanation:

-5 ÷ [tex]\frac{2}{7}[/tex] = 17[tex]\frac{1}{2}[/tex]

17[tex]\frac{1}{2}[/tex] = -[tex]\frac{35}{2}[/tex]

Step-by-step explanation:

keep change flip, keep the first number, change the division to multiplication, and flip the fraction.

-5 * 7/2 and multiply straight across

-35/10

The price of a gallon of unleaded gas was $2.79 yesterday. Today, the price rose to $2.85 . Find the percentage increase. Round your answer to the nearest tenth of a percent.

Answers

Answer:

90 cents

Step-by-step explanation:

$2.70

$2.85

______

.94 round to the nearest teeth percent is 90

Write the equation of the line in fully simplified slope intercept form

Answers

Y= -1/2-7
Slope intercept form is y=mx+b
‘m’ is your slope and ‘b’ is your y-intercept !

Answer:

y = -0.5x - 7 or y = -1/2x - 7 (both are same)

Step-by-step explanation:

m = slope

slope = y2 - y1 / x2 - x1

-9 - (-8) / 4 - 2 = -1/2 = -0.5

m = -0.5 

b = y-intercept

b = -7

y = mx + b

y = -0.5x + (-7)

y = -0.5x - 7

(negative slope)

x+4=3x+9 how to solve this?

Answers

Answer:

x = - [tex]\frac{5}{2}[/tex]

Step-by-step explanation:

x + 4 = 3x + 9 ( subtract x from both sides )

4 = 2x + 9 ( subtract 9 from both sides )

- 5 = 2x ( divide both sides by 2 )

- [tex]\frac{5}{2}[/tex] = x

subtract 3x from both sides which would be -2x+4=9 then subtract 4 from each side which would be -2x =5 then divide by -2 which would be x=2.5 or 2 1/2

. The speeds of cars on the highway have a mean of 65 mph with a standard deviation of 5 mph.
If a police car stopped cars that were going more than80mph, how many cars would they stop ifthere were 8000 cars on the highway

Answers

Answer:

do 65 / 5 then multiply 80 * it 100

8,508,400 divided by 10 to the sixth power

Answers

Your answer for your problem

Natasha has a job putting letters in envelopes to be mailed. in 1 hour she put 42 letters in envelopes. which equation best represents y, the total number of letters natasha puts in envelops in x hours if she continues

Answers

Answer:

36 pages .394kb

Step-by-step explanation:

that's it well done

You can use multiplication along with converting statements to symbols.

The equation for the given condition is given by [tex]y = 42x[/tex]

where y represents the total number of letters Natasha puts in envelops in x hours.

How to form symbolic expressions from the description?

You need to know how to convert the statement to symbolic expression.

Suppose if it is said that a thing is increased by 4,then we write it as

that thing + 4

Suppose if it is written that 'x' objects are sold on p price per object. Since 1 object is sold at p price, then x objects will be sold at:

[tex]p + p + ... + p \: \: \: (x \: \: times) = p \times x[/tex]

Such conversion can help us to form symbolic expressions from the given description.

Since for the given case, in 1 hour, Natasha put 42 letters in envelopes, then in x hour she will put:

[tex]42 + 42 + ... + 42 \: \: (x \: times) = 42 \times x[/tex]

Since in x hours, she puts y envelopes but envelopes put in x hours came out as 42 times x, thus, both the values are equal, or

[tex]y = 42 \times x = 42x \text{\:\:(written in short)}[/tex]

The equation for the given condition is given by [tex]y = 42x[/tex]

where y represents the total number of letters Natasha puts in envelops in x hours.

Learn more about linear relationship here:

https://brainly.com/question/498084

Which expression illustrates the commutative property applied to the product?
(−8/9)⋅(−13)⋅(18)

A. (−8/9)⋅(18)⋅(−13)

B. (−8/9)⋅(−13)⋅(18)

C. (−8/9)⋅[(−13)⋅(18)]

D. [(−8/9)⋅(−13)]⋅(18)

Answers

your answer should be c

a glider begins its flight 1 1/2 miles above the ground. After 60 minutes it is at 1 mile above ground a glider begins its flight 1 1/2 miles above the ground. After 60 minutes, it is 1 mile above the ground.

Find the change in height of the glider. If it continues to descend at the rate, how long does the entire descent last until the glider reaches the ground?

Answers

It changed 1/2 a mile every hour (60 minutes) So it will take 3 hours (180 minutes) to reach the ground level.

Anna pays $5.50 each day to park in a parking deck. How much will she pay for 5 days of parking?

Answers

Answer:

27.5 :))

Step-by-step explanation:

so this is the way i did it  i breaked it down right so the equation is 5.50 x 5

take away the decimal and now its 550 and i did repeative addition of 5 until i got 2's of 1,100 i added them up then added the 2,200 + 550 without the decimal and i got 2750 instead of adding ',' i took the number 5.50 and saw there were two spaces under the numbers before it got to the decimal and it was two spaces so you do two hops like you do on a line in math so it basically turns to 27.50 :)) but you always take away the 0 if theres no number behind it so it turns to 27.5 :) but if the questions dont have the answer 27.5 then just add the 27.50! its the same number anyways :D ( i hope you understand it!)

Answer:

$27.5

Step-by-step explanation:

All you have to do is 5.50 multiplied by the number of days she is staying their, which is 5. Once you put that in, you get your answer which is 27.5!

Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day!

Figure B is a scaled copy of Figure A.
What is the scale factor a figure b ?

Answers

Answer:

The scale factor from Figure A to Figure B is 0.50.5

Step-by-step explanation:

brainly this please

Answer:

you didn't show a screenshot

Step-by-step explanation:

Please help! I will try to mark brainliest

Answers

Answer:

1.23

0.067

25.34

Step-by-step explanation:

10^2 = 100

The point moves two places towards the right

HELP NOW
I GIVE AND 89 POINTS

At a bargain store, Tanya bought 5 items that each cost the same amount. Tony bought 3 items that each cost the same amount, but each was $2.5 less than the items that Tanya bought. Both Tanya and Tony paid the same amount of money. What was the individual cost of each person's items?

(a) Write an equation. Let x represent the cost of one of Tanya's items.
(b) Solve the equation. Show your work.
(c) Check your solution. Show your work.
(d) State the solution in complete sentences.

Answers

Answer:

the answer is d

Step-by-step explanation:

hope this help

5-6x+8x² divided x-1​

Answers

Answer:

4+2x

Check attached file for steps :)

Brainlyest only goes to the right answer

Answers

Answer:

yes yes yes you are great heeeee

What is the value of the following expression?

(1/4)³​

Answers

Answer:

1/64

Step-by-step explanation:

Note that 1³ = 1 and that 4³ = 64.

                           1³            1

Thus, (1/4)³ = ------------ = -------

                           4³           64

Answer:

[tex]\small \: \sf \: \frac{ 1 }{64} \: \\ [/tex]

Step-by-step explanation:

[tex]\small \: \sf \: \frac{ 1 {}^{3} }{4 {}^{3} } \: \\ [/tex]

Write the exponentiation as multiplication.

[tex]\small \: \sf \: \frac{ 1 \times 1 \times 1 }{4 \times 3 \times 3 } \: \\ [/tex]

Multiply, we get .

[tex]\small \: \sf \: \frac{ 1 }{64} \: \\ [/tex]

24.4 divided by 0.4 im stuck like step bro

Answers

Answer is : 61

We then have the equations:
244 ÷ 4 = 61.000
and therefore:
24.4 ÷ 0.4 = 61.000
Both calculated to 3 decimal places.

What is a Rectangular Coordinate System

Answers

Answer:

Cartesian coordinate system in a plane is a coordinate system that specifies each point uniquely by a pair of numerical coordinates, which are the signed distances to the point from two fixed perpendicular oriented lines, measured in the same unit of length.

1. Select all the sums that are positive.
0-5+(-2)
0 5+(-2)
0-3+4
O 0+(-3)
-2-(-4)
ILL MARK BRAINLY

Answers

Answer:

the 2nd, 3rd, and 5th are your positive sums

If an airplane travels at 5000 mph for 3.75 hours, what is the distance the airplane
travels in miles?

Answers

Answer:

18750 miles in 3.75 hours

Step-by-step explanation:

5000 x 3.75 = 18,750

What’s 45bc +abc+ 67(7-9)?

Answers

Answer:

A=67.6 ° L B=45.5 ° and AB=7.6 cm 7 i think thats your answer

Step-by-step explanation:

Answer:

hmmmmm ummmm 125bc

Step-by-step explanation:

A shop in the mall is 8 yards by 11 yards. How much would it cost to recarpet the shop with carpet that costs $6.38 per square yard?
please help asap thankk you!!

Answers

the answer would be $561.44 im pretty sure? 8(11)=88(6.38)=561.44

John has 15 1/4 gallons of gas in his truck. John can drive his truck 7 1/2 miles on each gallon of gas. About how many miles can John drive his truck

Answers

Answer:

114 3/8 gallons

Step-by-step explanation:

To solve the question, we multiply by the number of gallons and the amount travelled per gallon:

Let's convert all fractions to improper fractions:

15 1/4 = (15*4 + 1)/4 = 61/4

7 1/2 = (7*2 + 1)/2 = 15/2

Multiply the numerators and the denominators:

61/4 * 15/2 = 61*15/4* 2 = 915/8 = 114 3/8

-Chetan K

Please help me with this question, thank you and explain!!!

Answers

Total distance from w to z is -10 to 6 = 16

Add the ratios: 2 + 3 + 3 = 8

Divide distance by total ratio: 16/8 = 2

Multiply each ratio by 2 : 2x 2 = 4, 3 x 2 = 6, 3 x 2 = 6

WX is 4 units apart, add 4 to -10 to get x = -6

Answer: A. -6

which statement best desonbes a graph of paired points that form a proportional relationship?
A straight line cannot be drawn through all the points and the line passes through the origin.
A straight line can be drawn through all of the the points but the line does not pass through the origin.
A straight line can be drawn through all the points and the lines passes through the point where x = 0 and y=0
A straight line can be drawn through all the points and the line passes through the point (3, 0).

Answers

Answer:

A straight line can be drawn through all the points and the line passes through the point where x=0 and y=0. This best describes a graph of paired points that form a proportional relationship.

If the point (2,4) belongs to f(x), what will be its image after the transformations 5f(1/2(x +1)] +3
O (1,5).
O (4,23).
O (3,23).
O (5,23).

Answers

Answer:

1,5

Step-by-step explanation:

2. What is the tangent ratio of angle & within a right triangle?

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

According to Trigonometry,

[tex] \tan( \theta) = \dfrac{opposite }{adjacent} [/tex]

Answer:

Tangent = Opposite/Adjacent

Step-by-step explanation:

SOH = Sin = opposite/hypotenuse

CAH = Cos = adjacent/hypotenuse

TOA = Tan = opposite/adjacent

Question

Identify the parallel lines.



Lines and are parallel.

Answers

Answer:

4 and 1, 2 and 3, 5 and 8, 6 and 7

Step-by-step explanation:

Lines that are parallel are lines that never meet each other.

lines that never don’t touch

Please help;-; tysm! please explain it to me

Answers

Answer:

36+90=126

90+2x=126

2x=36

x=36/2

x=18

ANYONE PLEASE HELP ME WITH MY MATH HOMEWORK I REALLY NEED THE ANSWER RIGHT NOW BECAUSE I HAVE TO PASS THIS TOMORROW MORNING I HOPE Y’ALL CAN HELP ME:(I’LL MARK BRAINLIEST FOR THOSE WHO CAN ANSWER IT CORRECTLY!
PS:DON’T WASTE MY POINTS PLEASE IF YOU DON’T KNOW THE ANSWER JUST PLEASE IGNORE IT:)

Answers

20(2)^6/ 4(2)^2 ≠ 5(2)^3
20(64)/4(4)≠ 5(8)
1280/16≠40
80≠40
When dividing exponents we do not divide, (Ik confusing) we actually subtract so instead of us thing the answer it 5x^3 we actually look at the equation, 20x^6/4x^2 (6-2=4)= 5x^4
When we work that out we get
20(2)^6/4(2)^2=5(2)^4
20(64)/4(4)=5(16)
1280/16=80
80=80

Answer:

In the step-by-step explanation!!!

Step-by-step explanation:

(a)

20(2)^6 ÷ 4(2)^2 = 80

5x^3 = 40

And we of course know that 80 is not equal to 40 at all.

(b)

5x^4 should be the answer

I believe that I am correct!

Have a good day :)

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