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erastova [34]
3 years ago
8

If f(x) and f -1 (x) are inverse functions of each other and f(x) = 2x+5, what is f -1 (8)?

Mathematics
1 answer:
Aleksandr [31]3 years ago
5 0

Answer: 3/2

Step-by-step explanation:

The first one: y=2x+5

X=2y+5.Then solve for y after switching x and y

X-5=2y, X-5/2=y

Since F-1= X-5/ 2, we plug the value of X in

8-5/2, so it should be 3/2

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Read 2 more answers
The score of golfers for a particular course follows a normal distribution that has a mean of 73 and a standard deviation of 3.
Artemon [7]

Answer:

P(X \geq 74) = 0.3707

Step-by-step explanation:

We are given that the score of golfers for a particular course follows a normal distribution that has a mean of 73 and a standard deviation of 3.

Let X = Score of golfers

So, X ~ N(\mu=73,\sigma^{2}=3^{2})

The z score probability distribution is given by;

           Z = \frac{X-\mu}{\sigma} ~ N(0,1)

where, \mu = population mean = 73

           \sigma = standard deviation = 3

So, the probability that the score of golfer is at least 74 is given by = P(X \geq 74)

 P(X \geq 74) = P( \frac{X-\mu}{\sigma} \geq \frac{74-73}{3} ) = P(Z \geq 0.33) = 1 - P(Z < 0.33)

                                               =  1 - 0.62930 = 0.3707                  

Therefore, the probability that the score of golfer is at least 74 is 0.3707 .

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