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2 years ago

What is the inverse of the function

Mathematics

1 answer:

-Dominant- [34]2 years ago

3 0

Answer:

f⁻¹(x) = x+2 / 3

Step-by-step explanation:

Given function is:

f(x) = 3x-2

We have to find the inverse of the given function.

Put y = f(x) in given function, we have

y =3x-2

Adding 2 to both sides of the above equation we have

y+2 = 3x-2+2

y+2 = 3x

Dividing by 3 to both sides of the above equation, we have

y+2 / 3 = 3x / 3

y+2 / 3 = x

Put x = f⁻¹(y) in the above equation we have

y+2 / 3 = f⁻¹(y)

Swapping equation we have

f⁻¹(y) = y+2 / 3

Replace y with x we have

f⁻¹(x) = x+2 / 3 which is the answer.

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Many games depend on how a ball bounces. For example, if different basketballs rebounded differently, one basketball would bounc

Crank

Answer:

Basketball = 0.743

Step-by-step explanation:

Given

Tennis:

Starting Height = 200 cm

Rebound Height = 111 cm

Soccer Balls;

Starting Height = 200 cm

Rebound Height = 120 cm

Basketball:

Starting Height = 72 inches

Rebound Height = 53.5 inches

Squash:

Starting Height = 100 inches

Rebound Height = 29.5 inches

For measuring the bounciness of a ball, one needs that starting Height of and the rebound Height of that ball which have been listed out above.

Calculating the rebound ratio of each balls.

Rebound Ratio = Rebound Height/Starting Height

Tennis: 111/200= 0.556

Soccer Balls: 120/200 = 1.667

Basketball: 53.5/72 = 0.743

Squash: 29.5/100 = 0.295

From the rebounding ratio calculated above, it can be seen that basketball has the highest rebound ratio of 0.743 and is the bounciest of all whole Squash has the least rebound of 0.295 ratio, hence it is the least bounce of all.

8 0

2 years ago

Please help me due today i really need ur help :(

enyata [817]

Answer:

1) B. $12

2) B. Rich burns 1 more calorie per minute than Katie

3) C. Jeffery walks 5 meters per minute slower than Fumi.

Step-by-step explanation:

1) earnings / hours = salary

salary = 24/2 = 60/5 = 96/8 = 12

salary = $12

2) The question describes Rich's graph to have the function of "y=8x." The graph shown that represents Katie's number of burned calories has the function of "y=7x." From that we can conclude Rich burns one more calorie per minute. See attached file for graph.

3) The question describes Fumi's graph to have the function of "y=85x." In order to find the function of Jeffrey's graph, we must use the two points provided from the graph. The point (10, 800) tells us that the point (1,80) would also fall on the line. From that, we can determine Jeffery's function to be "y=80x." 80 is 5 less than 85, so Fumi walks 5 meters per minute faster than Jeffery.