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german
3 years ago
6

What is the correct answer and why? Concise and simple explanation please!

Mathematics
1 answer:
rjkz [21]3 years ago
5 0

Answer:

(-∞, α)  

Step-by-step explanation:

The domain is the set of all possible x-values that will make the function work.

f(x) will exist only if the radicand is positive.

Also, x cannot equal α, because f(α) = 1/√0 =1/0 = undefined. Thus, we must have

α - x > 0 or

x < α

The domain is x <α.

In interval notation, the domain is (-∞, α).

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