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kotykmax [81]
3 years ago
6

Find the inverse of the rational function f(x)=2x/x+3

Mathematics
1 answer:
SashulF [63]3 years ago
5 0

Answer:

{f(x)}^{ - 1}  =    \frac { - 3x}{x   - 2}

Step-by-step explanation:

check image above

sorry for my handwriting

You might be interested in
Solve 8z + 12 = 5z − 21
Mekhanik [1.2K]
z = -11

Steps:
8z+12 = 5z-21
Subtract 12 from both sides
8z+12-12 = 5z-21-12
Simplify
8z = 5z-33
Subtract 5z from both sides
8z-5z = 5z-33-5z
Simplify
3z = -33
Divide both sides by 3
3z/3 = -33/3
Simplify
z = -11

Hope this helps you! (:
-Hamilton1757
3 0
3 years ago
Every year after a new car is
slavikrds [6]

Answer: The value of the car after 3 years is $5,333.333

And no, the relationship is not linear, is an exponential decay.

Step-by-step explanation:

We know that every year, the car loses 1/3 of its value.

So if the initial value of the car is V.

After one year, the new value of the car will be:

Value (1 year) = V - (1/3)*V = (2/3)*V

After another year, the value will be:

Value (2 years) = (2/3)*V - (1/3)*(2/3)*V = V*(2/3)^2

Ok, we already can see that this is an exponential decay.

(So no, this is not a linear relationship).

The value equation as a function of the number of years will be:

Value(N) = V*(2/3)^N

Then if the initial cost of a car is $18,000, and we want to know its value after 3 years, we need to replace V by $18,000 and N by 3 in the above equation:

Value(3) = $18,000*(2/3)^3 = $5,333.333

6 0
3 years ago
1.<br> Use trigonometry to work out the value of x.<br> Not drawn accurately. <br> Help pls
tino4ka555 [31]

Answer:

20cos(39) or  15.543 (3 d.p.)

Step-by-step explanation:

  • Use SOHCAHTOA
  • You want to find A and have an angle of 36° and H
  • So use CAH
  • cos(39) = x / 20
  • x = 20cos(39)
8 0
2 years ago
Can someone please give me a scenario of this please Y=3x + 2
Deffense [45]

Ahhh I think that is cheating?

Soz I know the anaswer but I cant tell you have to do by your self to learn you can't always ask for answers :<

7 0
3 years ago
Read 2 more answers
The cost to ride a ferris wheel is $2.00 per person. The ferris a wheel has a capacity of
irakobra [83]

Answer:

When we have a function f(x), the domain of the function is the set of all the inputs that "work" (Not only in a mathematical way, the context is also important) with the function f(x)

In this case, we have a function M(p) = $2*p

This function represents the amount of money collected depending on the number of people who ride on the ferris whell.

Then p can be only a whole number (we can not have 1.5 people, only whole numbers of people).

And we also know that the maximum capacity of the ferris is 64 people.

Then:

p ≤ 64

And we also should add the restriction:

0 ≤ p ≤ 64

(Because p can't be smaller than zero)

Such that p should also be an integer, then, the domain is:

D: p ∈ Z, p ∈ {0, 1, 2, ..., 64}

7 0
3 years ago
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