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algol13
10 days ago
5

Danika concludes that the following functions are inverses of each other because f(g(x)) = x. Do you agree with Danika? Explain

your reasoning.
f(x) = |x|
g(x) = –x

Mathematics
2 answers:
zzz [4K]10 days ago
7 0

Her conclusion is incorrect. She neglected to compute g composed with f. To confirm that two functions are inverses, one must demonstrate that g(f(x)) = x. Since g(f(x)) results in -x, it follows that these functions are not inverses.

zzz [4K]10 days ago
6 0
I hope this information is useful to you..;

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Answer:

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Step-by-step explanation:

We have a table indicating the estimated lines of code produced by computer programmers per hour when x individuals are engaged.

The question asks which model accurately reflects this data.

To determine this, we will substitute the values of x into each function to see which one accurately produces the corresponding y (f(x)) values provided in the table:

We are presented with four functions, which are:

A)

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B)

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C)

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D)

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We'll create a table displaying these values at various x levels.

x                  A                 B                C               D

2              66.66          49.3            52.5           50

4             94.57            71.44           106.3         104  

6             134.14           103.57         160.1          158

8             190.27          150.14          213.9         212

10           269.91           217.64         267.7         266

12           382.85          315.5           321.5          320.

Thus, the function that suitably represents the data is:

Option C.

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