Question

20 points for this question: Find the domain.

Answer 1

Answer:

The Domain D = {y ∈ R / y ≠ $\dfrac{b}{2}$ y ≠ 0}

Step-by-step explanation:

Let ,

f(y) = $\dfrac{b^{2} - 4by }{2y^{2} - by }$ - $\dfrac{4y}{b-2y}$

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 ≠$\dfrac{b}{2}$

Either y ≠ 0 or y ≠ $\dfrac{b}{2}$

∵ 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 ≠ $\dfrac{b}{2}$