Which of the following is the quotient of the rational expressions shown here?

x^2 /(x^2 -36)

Step-by-step explanation:

x/(x-6) ÷ (x+6) /x

Copy dot flip

x/(x-6) * x/(x+6)

x^2/ ( x-6)(x+6)

This is the difference of squares( a-b)(a+b) = a^2 -b^2

x^2 /(x^2 -36)

answer: x= -2y

step-by-step explanation:

guess at question:

a vertical line intersects the graph of g(x,y) = 0 at two points. what conclusion follows about the function f(x) implicitly defined by g(x,f(x)) = 0?

the domain of f(x) cannot include the x coordinate of any such vertical line.

informally, f(x) is not a function, and

g(x,y)=0 cannot be solved for y uniquely.

the relation r = {(x,y) such that g(x,y) = 0} is a function if

for all (a,b) ∊ r and (c,d) ∊ r, a=c implies b=d.

step-by-step explanation: