find the inverse of this function and verify by using the composition of functions

f(x)= -3/x-3

Answers

Answer 1

Answer:

f(x)^-1 = 3x-3/x

Step-by-step explanation:

f(x) =-3/x-3

y= -3/x-3

x=-3/y-3

-3= (y-3)x

-3= xy-3x

-xy=-3x + 3

y= -3x +3/x

y= 3x-3/x

f(x)^-1 = 3x-3/x


Related Questions

I NEED HELP ,PLAESE AYUDAAAAA POR FAVOR

Answers

Answer:

Step-by-step explanation:

First off, if side BC and side EC are congruent, then this is an isosceles triangle. It then goes to follow by the Isosceles Triangle Theorem that angle EBC is also 67 degrees. By the Triangle Angle-Sum Theorem then, angle BCE is 180 - 67 - 67 which is 46 degrees. Angle BCE is supplementary to angle FCA which means they add up to equal 180, so angle FCA is 180 - 46 = 134.

Angle FCA = 134

y = -2x + 13 when x = 6

Answers

Answer: 1

Work: After plugging in the 6 in the X, the new equation is -2(6) + 13. After doing the multiplication of -2 and 6, you get -12. Add -12 + 13, and the answer (Or y) equals 1.

I hope this helps, and Happy Holidays! :)

convert 1/15 into a decimal correct to 2 decimal places ​

Answers

Answer:

[tex]\frac{1}{15} = 0.\overline{66}[/tex]

Step-by-step explanation:

We proceed to show the procedure to calculate the given fraction into a decimal form:

1) Since numerator is less than denominator, the integer component of the decimal number is zero:

[tex]\frac{1}{15} = 0.xx[/tex]

2) We multiply the numerator by 10 and find the tenth digit:

[tex]\frac{10}{15} = 0[/tex]

Then,

[tex]\frac{1}{15} = 0.0xx[/tex]

3) We multiply the fraction in 2) by 10 and find the hundredth digit:

[tex]\frac{100}{15} = 6[/tex]

Then,

[tex]\frac{1}{15} = 0.66x[/tex]

And the remainder is:

[tex]r = 100-15\times 6[/tex]

[tex]r = 10[/tex]

4) We multiply the remainder by 10 and divide this result by the denominator to determine the thousandth digit:

[tex]\frac{100}{15} = 6[/tex]

Then,

[tex]\frac{1}{15} = 0.666[/tex]

This question asks us to write a decimal correct to 2 decimal places, which has the characteristic that is infinite periodical decimal. Then, the result correct to 2 decimal places is:

[tex]\frac{1}{15} = 0.\overline{66}[/tex]

Bradley answered 80% of the questions on his science test correctly. There were 30 questions on the test, and all the questions had equal value. How many questions did Bradley answer correctly on his test?

Answers

Answer:

24 correct questions

Step-by-step explanation:

Multiply 30 by 80% - or 0.8.
The resulting number is how many questions he got right.
Subtract that number from the total of 30, and you'll know how many he got wrong.
You can also do it as a fraction - 80% out of 100% is 80/100, or 4/5. So he got 4/5 right and 1/5 wrong.
30 multiplied by 1/5 is the same as 30 divided by 5. So 30 divided by 5 will be how many questions he got wrong.

Plz can you help me out with this question..

Answers

Answer:

86%

Step-by-step explanation:

The mean is calculated as

mean = [tex]\frac{sum}{count}[/tex]

The sum for the class is calculated as

[tex]\frac{sum}{30}[/tex] = 70 ( multiply both sides by 30 )

sum = 2100

The sum of the 20 boys is

[tex]\frac{sum}{20}[/tex] = 62 ( multiply both sides by 20 )

sum = 1240

The sum for the 10 girls is therefore 2100 - 1240 = 860

Thus the mean mark for the girls is

mean = [tex]\frac{860}{10}[/tex] = 86%

i need help with this practice problem

Answers

Answer:

Step-by-step explanation:

V of a sphere is (4/3)*pi*r³, and because we have 3 scoops

V = 3* (4/3) * 3.14 * 4³ = 4* 3.14 * 4³ = 803.84 cm³

Booker owns 85 video games.He has 3 shelves to put the games on. Each shelf can hold 40 games. how many more games does he have room for?

Answers

The amount of room he has for more games is 35. 3 times 40 = 120 - 85 = 35.

A dog lost 2 pounds three weeks in a row. What integer expresses the total change in the dogs weight

Answers

Answer:

-6 is the integer

Step-by-step explanation:

Enter the equation of the line in slope-intercept form.
The line passes through (1,7) and (2,19).
The equation of the line is

Answers

Answer:

ajfbgaulfgsuidglml

Step-by-step example:

Jordan went shopping last weekend and bought a pair of shoes. The shoes were originally priced at $124.00, but are now on sale for 30% off the regular price. The sales tax is 7%.

What is the sales tax?

Answers

Answer:

8.68

Step-by-step explanation:

just multiply 124.00 times 0.07 and that's it

Compare and contrast linear and non linear scatter plots

Answers

Answer:

non-linear plots are when the dots are far away from the other dots and linear is when all the dots are together

1.
I
Select all the true statements.
I
Dilations always increase the length of line segments.
B.
Dilations of an angle are congruent to the original angle.
C.
Dilations increase the measure of angles.
D.
Dilations of a triangle are congruent to the original triangle.
E.
Dilations of a triangle are similar to the original triangle.

Answers

Answer:

E

Step-by-step explanation:

Which equation is equivalent to the equation 6x + 9=12

Answers

Answer:

the answer is 1/2

Step-by-step explanation:

i solved it

what is the answer to this?​

Answers

Answer:

m∠4 = 55°

Step-by-step explanation:

From the figure attached,

m∠DBC = m∠BCA + m∠BAC [Exterior angle of a triangle equals the sum of the remote interior angles]

m∠4 = 30° + 25° = 55°

Therefore, m∠4 = 55° will be the answer.

What are the solution points for the system graph?
Question 12 options:

A)

(–2,8) and (–4,4)

B)

(8,–2) and (4,–4)

C)

(–2,4) and (–4,8)

D)

(–2,–4) and (4,8)

Answers

Answer:

The answer is D. (-2,-4) and (4,8). These are the two points that the two lines intercept.

6. Find how long it takes $600 to double if it is invested at 12%
interest compounded monthly.
With work

Answers

Answer:

A = $697.09

Step-by-step explanation:

A = P (1 + r/n)

A = 600 (1 + 0.05/365)

A = $697.09

PLEASE HELP!!! WILL GIVE BRAINLIEST!!!

Answers

Answer:

112 degrees

Step-by-step explanation:

The other 2 interior angles are (180-44)/2 which is 68.

180 (straight line) -68 = 112

Jess earns 10 per hour babysitting. Her friend Sam earns $12.50 per hour. If Jess started with $5, how many hours will both friends need to work before they have the same amount of money.

Answers

Answer:

they have to work 2 hours

Step-by-step explanation:

Jess has a $5+ x*$10

Sam has  x*$12.5

where x-is number of hour worked

after x=1 hour

Jess has a $5+ 1*$10=$15

Sam has  1*$12.5= $12.5

afterx=2 hours

Jess has a $5+ 2*$10=$25

Sam has  2*$12.5=$25

Find the value of x.

Answers

Answer:

I think the value of x is 61 degrees

Answer:

the answer is 65

Step-by-step explanation:

you add 61 and 54 then subtract from 180 you get 65 as your answer

What is i^34?

A. -1
B. i
C. -i
D. 1

Answers

Answer:

A

Step-by-step explanation:

i to an odd power is 1 and i to an even power is -1 so you can see it is A

50 points for good answ.
car moves with constant speed. from A to B, car had to arrive on time, but he ride half of the road with 2/3v speed. with what speed car has to ride the rest of the road to go on B location on time?​

Answers

Answer:

2v

Step-by-step explanation:

Let the distance be d and average speed be v.

Half of the distance the speed was 2/3v

Let the speed be xv in the second half of the distance.

Then time is:

d/v = d/2 : (2/3v) + d/2 : (xv)d/v = 3/4(d/v) + (1/2x)(d/v)1 = 3/4 + 1/2x1/2x = 1 - 3/4 1/2x = 1/42x = 4x = 2

The rest of the road car has to ride with speed of 2v

Choose the correct solution for this equation X/2-12 = 24

Answers

Answer:

[tex]x=72[/tex]

Step-by-step explanation:

[tex]\frac{x}{2} -12=24[/tex]

[tex]x-24=48[/tex] (multiply [tex]2[/tex] on both sides)

[tex]x=72[/tex]

Hope this helps :)

Pls help me ASAP I have other homework to do and I don’t have time for this. It also detects if it’s right or wrong:(

Answers

Y= 20 then because x=5 and 5 times 3 is 15 plus 5 is 20 :) so 20 is the answer good luck
Y=20, look at picture for work

Please help brainiest will give you!

Find the slope of it!
A. -3
B. -1/3
C. 1/3
D. 3


Thanks!!!!!!

Answers

Answer:

the answer is D

Step-by-step explanation:

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

Answer:

-1/3

Step-by-step explanation:

A recipe for shepherd's pie uses 3 cups potatoes, 2 cups carrots, 1 cup onions, 1 ½ cups ground round to create enough for 6 people. If you need to feel 16 people, how many cups of carrots do you need? Use scale factors and ratios to solve this problem. Remember to show your work.

Answers

Answer:

[tex]5\frac{1}{3}[/tex] cups of carrot.

Step-by-step explanation:

Let's set up proportional equation.

6 people need 2 cups of carrots

Let 16 people need x cups of carrots.

We could form ratio for number of people to cups of carrot used as

6:2

16:x

So, proportional equation would be

[tex]\frac{2}{6} =\frac{x}{16}[/tex]

Cross multiply

32=6 x

Divide both sides by 6.

x=[tex]\frac{32}{6}[/tex]

Divide to get mixed number

x=5[tex]\frac{2}{6}[/tex]

Simplify the fraction

x=[tex]5\frac{1}{3}[/tex] cups of carrot.

A track team has 25 runners. There are 18 boys on the team. What percent of the track team are girls? *

Answers

Answer:

28%

Step-by-step explanation:

Given that,

The total no of runners = 25

No. of boys in the team = 18

We need to find the percent of the track team are girls.

Total no of girls = 25-18 = 7

Percent of girls :

[tex]g=\dfrac{\text{No. of girls}}{\text{Total runners}}\times 100\\\\=\dfrac{7}{25}\times 100\\\\=28\%[/tex]

Hence, there are 28% of girls.

Brian agrees to watch his neighbor’s dogs for 7 days. His neighbor provides a 128-ounce bag of dog food. Buster eats 20.5 ounces in 2 days and Roxy eats 22.5 ounces in 3 days. Does Brian have enough food to feed the dogs all 7 days? Explain.

Answers

Answer:

Yes, he has exactly the right amount

Step-by-step explanation:

Buster- 20. 5 = 2 days  20.5+20.5+20.5+10.25= 71.75 for 7 days

Roxy- 22.5= 3 days 22.5+22.5+11.25=56.25 for 7 days

71.75+56.25= 128oz

Brian will have exactly enough food for 7 days

What is the equation of the line that passes through the point (8,-8) and has a
slope of – 12

Answers

Answer:

y + 8 = -12(x - 8)

General Formulas and Concepts:

Algebra I

Point-Slope Form: y - y₁ = m(x - x₁)  

x₁ - x coordinate y₁ - y coordinate m - slope

Step-by-step explanation:

Step 1: Define

Point (8, -8)

Slope m = -12

Step 2: Write Function

Substitute variables into general form.

y + 8 = -12(x - 8)

Find the equation of the line y=___x+___

Answers

Answer:

y = 3x + 3

Step-by-step explanation:

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

Y=3x+3/1 should be right

A recipe calls for 1 ⅔ cups of milk. If you wanted to make 4 batches of the recipe and had 10 cups of milk to use, how much milk would you have left over?

Answers

Answer:

You would have 3 1/3 cups of milk left over.

Step-by-step explanation:

1 2/3 * 4 = 6 2/3

10 - 6 2/3 = 3 1/3

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