For what value of x is the rational expression below undefined x-4/x-6

And from this condition we have that:

So then the function is not defined for and we will have and asymptote in the function for this value of x and would be defined in the rest of the values of x

Step-by-step explanation:

We assume that we have the following expression:

So then we have a rational expression and we want to find for which value of x the function is not defined. And we can focus for this case in the denominator since we can't divide by 0. So then we can create the following rule:

And from this condition we have that:

So then the function is not defined for and we will have and asymptote in the function for this value of x and would be defined in the rest of the values of x

given that triangle abc is transformed two times to get triangle

a"b"c"

first abc is transformed in to a'b'c' as follows:

the coordinates of a are (1,-1) and transformed into a'(-1,1)

similarly b (4,-2) became b'(-4,2) and

c(7,-2) became c'(-7,2)

i.e. (x,y) becomes (-x,-y)

this is nothing but reflection about a point here origin.

thus first transformation is reflection on the origin.

next is exactly shifting 3 units down

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