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Find the domain.

20 points for this question: Find the domain.-example-1
User Zedrian
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3 votes

Answer:

The Domain D = {y ∈ R / y ≠
(b)/(2) y ≠ 0}

Explanation:

Let ,

f(y) =
(b^(2) - 4by )/(2y^(2) - by ) -
(4y)/(b-2y)

The above function would be defined only when the denominator of anyone or both the terms of the function do not become 0 -


2y^(2) - by ≠ 0 and b - 2y ≠ 0

∴ y(2y - b) ≠ 0 and y ≠
(b)/(2)

Either y ≠ 0 or y ≠
(b)/(2)

∵ The domain of a function consists of only those points where the function is defined -

The Domain D consists of all y ∈ Real numbers such that y ≠ 0 and y ≠
(b)/(2)

User Cerron
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