For the expression:

(b^2−4by)/(2y^2−by) − (4y)/(b−2y)

find the domain.

The required domain is all real values of y, except y = 0 and .

Step-by-step explanation:

The given expression is  

Let,

Therefore, to find the domain of this function means to find those values of variable y for which the x-value exists.

It is clear that the denominator of the two terms in the expression must not be zero for x to exist.

So,

⇒

⇒

Again,

⇒

Therefore, the required domain is all real values of y, except y = 0 and . (Answer)

ad = ae + ed = y + 7

similar triangles therefor

ac/ab = ad/ae

6/4 = (y + 7) / y

cross multiply

6y = 4(y + 7)

6y = 4y + 28

2y = 28

y = 14

step-by-step explanation: