if f(x)=2x/x-5 find f^-1(x)

Answers

Answer 1

Answer:

[tex]f^{-1}[/tex] (x) = [tex]\frac{5x}{x-2}[/tex]

Step-by-step explanation:

let y = f(x) and rearrange making x the subject

y = [tex]\frac{2x}{x-5}[/tex] ( multiply both sides by x - 5 )

y(x - 5) = 2x ← distribute left side

xy - 5y = 2x ( subtract 2x from both sides )

xy - 2x - 5y = 0 ( add 5y to both sides )

xy - 2x = 5y ← factor out x from each term on the left side )

x(y - 2) - 5y ← divide both sides by y - 2

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

Change y back into terms of x with x = [tex]f^{-1}[/tex] (x) , then

[tex]f^{-1}[/tex] (x) = [tex]\frac{5x}{x-2}[/tex]

Answer 2
Answer:

Look into the image. I hope it helps❤

#CarryOnLearning
If F(x)=2x/x-5 Find F^-1(x)

Related Questions

what are examples of like terms

Answers

Answer:

7x and 2x. 3x^2 and -7x^2.

Step-by-step explanation:

7x and 2x both have x. 3x^2 and -7x^2 both have x^2.

Antonia and Aleena both bought a book that cost £3.50 each. How much change did they get from £10.00?
£6.50
£2.00
£3.00

Answers

Answer:

They got 3.00 back

Step-by-step explanation:

Since they both bought a book it means you have to double the price of one book.

3.50+3.50=7.00

Then since you are looking for the difference of 10.00 you would subtract it.

10.00-7.00=3.00

8. What is the solution to 4(1/2x+7)=12?

Answers

Answer:

x=-8

Step-by-step explanation:

4(1/2x+7)=12

Divide each side by 4

4/4(1/2x+7)=12/4

(1/2x+7)=3

Subtract 7 from each side

1/2x+7-7=3-7

1/2x = -4

Multiply each side by 2

1/2x*2 = -4*2

x = -8

Answer:

-8

Step-by-step explanation:

Divide both sides by 4 which will give you 1/2x+7=3

Then multipy both sides by 2 which will then give you x+14=16

Then move the constant = x=6-14

6-14 is -8 which will give you x=-8

96 Children are on a school trip, there
are 7 seats in a mini bus. How many
mini bus are needed?

Answers

14 mini buses but there will be 1 seat open

Also with explanation

Answers

x=16 & 4
Hope it helps!

Correct answer gets brainliest and 5 stars

Answers

Answer:

B

Step-by-step explanation:

A car travelled 252 km in 3 hours and 15 minutes. The average speed of the car was (to the
nearest whole number)
A. 77 km/h
B. 78 km/h
C.
80 km/h
D. 84 km/h

Answers

Answer:

76.92 km/h

=

77 km/h

Answer From Gauth Math

Write 0.0406 in scientific notation.

Answers

Answer:

4.06×10^-2

hope that helps uh..☺

Answer:

Ans; 0.0406 = 4.06 ×10–²

A 3cm x 2cm rectangle sits inside a circle with a radius of 4cm
What is the area of the shaded region
round your final answer to the nearest hundredth

Answers

The area of the shaded region is 44.24\ cm^{2}44.24 cm2

Step-by-step explanation:

we know that

The area of the shaded region is equal to the area of the circle minus the area of rectangle

step 1

Find the area of circle

The area of the circle is equal to

A=\pi r^{2}A=πr2

we have

r=4\ cmr=4 cm

substitute

A=\pi (4)^{2}A=π(4)2

A=16\pi\ cm^{2}A=16π cm2

step 2

Find the area of rectangle

The area of rectangle is equal to

A=(3)(2)=6\ cm^{2}A=(3)(2)=6 cm2

step 3

Find the difference

16\pi\ cm^{2}-6\ cm^{2}16π cm2−6 cm2

assume

\pi=3.14π=3.14

16(3.14)\ cm^{2}-6\ cm^{2}=44.24\ cm^{2}16(3.14) cm2−6 cm2=44.24 cm2

Which graph represents an odd function?

Answers

Answer:

the second one (the one on the bottom)

Step-by-step explanation:

An odd function is where f(x) = -f(x), and therefore is unchanged when rotated 180 degrees about the origin. This results in the bottom graph.

solve the triangle. Round decimal places to the nearest place

Answers

Answer: The remaining angle must be 90, side BC = 17, side AC = 39

Explanation:

To find the remaining angle of this triangle, you may do 180 - (24+66) = 90, since the sum of angles in any triangle must equal to 180.

To find the remaining sides, you may use the sine rule to find BC:

sin(Angle)/opposing side = sin(Angle)/opposing side

1) sin90/43 = sin24/x
2) 1/43 = 0.4067/x
3) x = 17.48
4) x ≈ 17

You may also use the sine rule to find side AC:

1) sin90/43 = sin66/x
2) 1/43 = 0.9135/x
3) x = 39.28
4) x ≈ 39

Hope this helps, brainliest would be appreciated :)

Lilian is building a swimming pool in the shape of a right rectangular prism. The area of the base of the swimming pool is 72 square meters. The depth of the swimming pool is 3 meters. What is the volume of the swimming pool?

Answers

Answer:

its easy as making a cake

Step-by-step explanation:

always remember that

volume of a rectangular prism = area of the base x depth

AND

volume = 72

depth. = 3

it means we have to multiply 72 with 3

so we get

72 x 3 = 216

it means that the volume of the swimming pool is 216.

hope it helps you

have a nice day dear

What is the net pay for 40 hours worked at $8.95 an hour with deductions for Federal tax of $35.24, Social Security of $24.82, and other deductions of $21.33?

$276.61

$326.25

$358.00

$368.91

Answers

Answer:

A

Step-by-step explanation:

Total money earned=40*8.95=358

Total money earned after deductions=358-(35.24+24.82+21.33)=276.61

Full working out for this question please.

Answers

Answer:

d 28.8cm2

Step-by-step explanation:

1/2BH

1/2() 12.8() 4.5

28.8

Calculate the area of each shape​

Answers

Answer:

a) 3x² + 7x + 2

b) 4x² + 2x - 12

c) x² + 8x + 12

d) π (16x² + 144)

Step-by-step explanation:

a) Rectangle

A = bh

A = 3x + 1 (x + 2)

A = 3x² + 6x + 1x + 2

A = 3x² + 7x + 2

b) Parallelogram

A = bh

A = 2x + 4 (2x - 3)

A = 4x² + (-6x) + 8x + (-12)

A = 4x² + 2x - 12

c) Trapezoid

A = a + b/2 (h)

A = [(x + 3) + (x + 9)]/2 (x + 2)

A = (2x + 12)/2 (x + 2)

A = x + 6 (x + 2)

A = x² + 2x + 6x + 12

A = x² + 8x + 12

d) Circle

A = πr²

A = π (4x + 12)²

A = π (16x² + 144)

This will be you're simplest answer unless you multiple 16x² + 144 times pi (π) and round.

prove that the line x-y=0 bisect the line segment joining the point (1,6) and (4, -1)​

Answers

Step-by-step explanation:

x-y=0(l.6)-(4.-1)(6-4)-(1--1)2--2=0

How many sides does a regular polygon with 45° exterior angles have?
Numerical answer only.

Answers

Answer:

8 sides (octagon)

Step-by-step explanation:

sum of exterior angles is always 360º

360 / 45 = 8 sides

Answer:

8 sides

Step-by-step explanation:

If all the angles of the polygon are the same, divide the angle by 360 and u get the answer.

Which of the points does not lie on the line y=x^2

Answers

Answer:

y does not lie on the point x^2 lie

Answer:

[tex]\large \green{ \boxed{\boxed{\begin{array}{cc} \maltese \: \bf \: (\frac{3}{2}, \frac{9}{2} ) \: dose \: not \: lie \\ \\ \bf \: on \: the \: curve \: \: \end{array}}}}[/tex]

Find an explicit rule for the nth term of the sequence.

-1, -5, -25, -125, ...

Answers

Answer:

-(5^N)

Step-by-step explanation:

The sequence is a negated 5 to the N power

ex.) -(5^0) = -1

-(5^1) = -5

-(5^2) = -25

-(5^3) =125

PLEASE HELP ME ANSWER THESE !!!

1 There are 63 students marching in a band, and they’re marching in 7 rows. How many students are in each row?


2 A candy factory made 54 boxes of chocolates. Each box weighs 2 pounds. They packed the boxes in 6 cases with the same number of boxes in each case. How many pounds of chocolates were there in each case?


3 Max bought tools costing $75. He made a $30 down payment and plans to pay off the rest of the money in 5 monthly installments. How much will Max’s monthly payments be?


4 Harry has decided to give his collection of 24 old coins to his four grandsons. John, the oldest, gets half the collection. Walt, Matt, and Richie will divide the remaining coins evenly among themselves. How many coins will each boy receive?


5 Mr. and Mrs. Pierotti are remodeling their kitchen. They need 9 square yards of covering for the floor. Jackson Interiors quoted them a price of $81 for 9 square yards of linoleum. Carpet Master told them that carpeting would cost $6 per square yard. Which is cheaper—the linoleum or the carpeting

Answers

Answer:

1)9 2)18 3)9. 4)4. 5)carpeting

Step-by-step explanation:

1) divide 63 by 7 = 9

2)multiply 54 by 2 = 108 total weight of the boxes then divide 108 by 6 to get 18

3) 75 -30 to get remaining amount which is 45 then divide by 5 to get how much he will pay each month which is 9

4 24- 12= 12 the remaining for the 3 and divide by 3 to get 4

5) multiply 6 * 9 which is $54 which is cheaper than the $81

Match each number to the letter that represents its
position on the number line.

HELP ASAP

Answers

Answer:

Step-by-step explanation:

Answer

answer bellow

Step-by-step explanation:

24, C

25, D

26, B

27, A

What is the most direct use of a compass in geometric constructions?

A.
to draw congruent angles

B.
to draw arcs of a given size

C.
to draw perpendicular lines

D.
to draw straight lines

Answers

Answer:

B

Step-by-step explanation:

to draw arcs of a given size

Answer:

B. to draw arcs of a given size.

Step-by-step explanation:

its correct on plato :)

Find the measure of each angle indicated.
A) 25°
C) 35°
B) 45°
D) 40°

Answers

Answer:

here's the answer to your question

Answer:

D) 40

Step-by-step explanation:

To solve the question you can use the knowledge that every triangle has a total of 180 degrees. Two of the angles are known one is 50 and the other is 90. We know one is 90 because of the square around the angle. Then, you can set up an algebraic equation to solve. We know that 50+90+x=180, so solve for x for the final answer of 40.

Identify a transformation of the function f(x) = (x by observing the equation
of the function g(x) = VX- 19.

Answers

Answer:

1st option

Step-by-step explanation:

Given f(x) then f(x) + c is a vertical translation of f(x)

• If c > 0 then a shift up of c units

• If c < 0 then a shift down of c units

Here g(x) = [tex]\sqrt{x}[/tex] - 19

The base graph f(x) has been shifted down 19 units

Find the value of x.

Answers

Answer:

x=8

Step-by-step explanation:

(3x-8)/1=4x/2. 3x-8=2x, x=8

What is the answer when you evaluate n + m -2(m-m) when m = 3 and n = 2?
Im sorry I suck at math i have a learning disability a processing disorder and sever adhd

Answers

Answer:

5

Step-by-step explanation:

n + m -2(m-m)

Combine like terms

n+m+2(0)

n+m

Let m=3 and n=2

2+3

5

when Rons truck was full, it weighed 7.5 tons. The weight he carried at that time was 3.25 tons. How many tons does Ron's truck weigh when it is empty?

Answers

7.5-3.25=4.25 tons.

The truck weights 4.25 tons.

Check with other answers, although I'm pretty sure its correct.

Heart if helpful :D

Question 4 Choice Worth 4 point

On a coordinate grid both point (1, 2) and point (-3, -3) are reflected across the y-axis. What are the coordinates of the reflected points

Answers

alright its easy read
im srry i need pts and dont kno it

given m||n, find the value of x

Answers

Answer:

x = 155º

Step-by-step explanation:

y = 25°    {Vertically opposite angles}

x + y = 180    {Co-interior angles are supplementary}

x + 25 = 180

Subtract 25 from both sides

x = 180 - 25

x = 155°

Write down at least five number pairs to solve the equation vw = 50

Answers

Answer:

1, 50

2, 25

5, 10

10, 5

25, 2

Answer:

Step-by-step explanation:

V  W  

1 x 50     = 50

1.5 x 33 1/3 = 50

2 x 25     = 50

2.5 x 20     = 50

3 x 16 2/3 = 50

3.5 x 14 2/7 = 50

4 x 12 1/2 = 50

4.5 x 11 1/9 = 50

5 x 10     = 50

5.5 x 9     = 50

6 x 8 1/3 = 50

6.5 x 7 2/3 = 50

7 x 7 1/7 = 50

7.5 x 6 2/3 = 50

8 x 6 1/4 = 50

8.5 x 5 8/9 = 50

9 x 5 5/9 = 50

9.5 x 5 1/4 = 50

10 x 5     = 50

10.5 x 4 3/4 = 50

11 x 4 5/9 = 50

11.5 x 4 1/3 = 50

12 x 4 1/6 = 50

12.5 x 4     = 50

13 x 3 6/7 = 50

13.5 x 3 5/7 = 50

14 x 3 4/7 = 50

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