Question

State the vertical asymptote of the rational function. f(x) = quantity x minus nine times quantity x plus seven divided by quantity x squared minus four.

Answer 1

Answer:

x=2 and x=-2

Step-by-step explanation:

f(x)=(x-9)(x+7)

      ------------

        (x^2-4)

Vertical asymptotes concerns the bottom factors after simplification.

This cannot be simplified any further because x^2-4=(x-2)(x+2)

which means it has no common factors with the numerator (the top part of fraction)

So we will consider when both factors are 0.

x-2=0 when x=2

x+2=0 when x=-2

So the VA (Vertical asymptotes) are x=2 and x=-2

You must actually write x=2 and x=-2

Do not put just 2 and -2