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topjm [15]
3 years ago
7

What is the inverse of the function

Mathematics
1 answer:
-Dominant- [34]3 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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maria [59]
Here's a little known but very useful factoid:

If they're inversely proportional,
then their product is constant.


Here's how to use it:

-- We're told that Y = 8 when X = 7.
So when y=8 and x=7, their product is 56 .

-- If Y REALLY varies inversely as X, then
their product is ALWAYS going to be 56.

-- So when Y=4, X= (56/4) = 14 .
5 0
4 years ago
The 2003 Zagat Restaurant Survey provides food, decor, and service ratings for some of the top restaurants across the United Sta
earnstyle [38]

Answer:

The probability that none of the meals will exceed the cost covered by your company is 0.2637.

Step-by-step explanation:

A hyper-geometric distribution is used to define the probability distribution of <em>k</em> success in <em>n</em> samples drawn from a population of size <em>N</em> which include <em>K</em> success. Every draw is either a success of failure.

The random variable <em>X</em> = number of meals that will exceed the cost covered by the company.

The random variable <em>X</em> follows a hyper-geometric distribution.

The information provided is:

N = 15

K = 3

n = 5

k = 0

The probability mass function of a hyper-geometric distribution is:

P(X=k)=\frac{{K\choose k}{N-K\choose n-k}}{{N\choose n}}

Compute the probability that none of the meals will exceed the cost covered by your company as follows:

P(X=0)=\frac{{3\choose 0}{15-3\choose 5-0}}{{15\choose 5}}=\frac{1\times 792}{3003}=0.2637

Thus, the probability that none of the meals will exceed the cost covered by your company is 0.2637.

3 0
4 years ago
Kathy is baking cakes each cake requires 1/12 of a teaspoon of vanilla and she has 9/12 of a teaspoon how many cakes can she bak
masya89 [10]
Kathy can make 9 cakes
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8 0
4 years ago
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PLEASE HELP!!! I WILL GIVE BRAINLIEST
lara31 [8.8K]

Answer:x=2y=3

Step-by-step explanation: I did this before

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