Regarding the functions in this problem, it is found that:
a) The verbal description of the inverse is: Take the third root, subtract by 5 and divide by 3.
b) The formulas are:
- f(x) = (3x + 5)³.
c) The compositions result in x, hence they are inverses.
<h3>How to obtain the inverse function?</h3>The original function is described as follows:
- Multiply by 3: 3x.
- Add 5: 3x + 5.
- Take the third power: (3x + 5)³.
Hence the function is:
y = (3x + 5)³.
To obtain the inverse functions, we exchange x and y and then isolate y, hence:
x = (3y + 5)³
The verbal description of the inverse is:
- Take the third root. sqrt[3](x).
- Subtract by 5: sqrt[3](x) - 5.
- Divide by 3.
The compositions are given as follows:
More can be learned about inverse functions at brainly.com/question/11735394
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