The _____ _____, f(x) = x, is formed by the composition of a function and its inverse. (2 words)
1 answer:
Answer:
Identity function
Step-by-step explanation:
We are given the following in the question:
Let f(x) be a function.
Then, inverse of f(x) can be written as:
The composition function of the function and the reverse function can be found as:
which is an identity function.
Thus, the correct answer is
The identity function, f(x) = x, is formed by the composition of a function and its inverse.
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Answer:
The bolts with diameter less than 5.57 millimeters and with diameter greater than 5.85 millimeters should be rejected.
Step-by-step explanation:
We have been given that the diameters of bolts produced in a machine shop are normally distributed with a mean of 5.71 millimeters and a standard deviation of 0.08 millimeters.
Let us find the sample score that corresponds to z-score of bottom 4%.
From normal distribution table we got z-score corresponding to bottom 4% is -1.75 and z-score corresponding to top 4% or data above 96% is 1.75.
Upon substituting these values in z-score formula we will get our sample scores (x) as:
Therefore, the bolts with diameters less than 5.57 millimeters should be rejected.
Now let us find sample score corresponding to z-score of 1.75 as upper limit.
Therefore, the bolts with diameters greater than 5.85 millimeters should be rejected.