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)

for the friend request.

when a figure, such as triangle (xyz) is reflected over the line y = x to create x'y'z' the x-coordinates and y-coordinates of the original image (pre-image) will be reversed for the image. (e.g., (x, y) > (y, x)) this means that the pre-image position of the x- and y-coordinates switch places which in turn provides a mirror like image of the original xyz.  

i notice that when i draw a line segment from x to x', that the points are parallel from each other -- they are exactly across from each other and do not intersect with any other points.  

yes, think i would see the same characteristic if you drew the line segment connecting y with the reflecting line and then y' with the reflecting line because of the essence of reflections. because it is a mirror image, each point was effected the same way which leads me to conclude that they same would apply to y and y'.

what