Question

find the vertical asymptotes
g(x)= x÷×(x-3)

Answer 1

Solution:

g(x) = x/x(x - 3)

As we know that vertical asymptote occurs when function tends to infinity.And this function g(x) can be infinite if it have zero in denominator.So for this we put denominator equal to zero to find for what values of X this function tends to zero.

= x(x - 3) = 0

= x = 0, x = 3

By value in given function we get,

For x = 0, = 0/0(0-3) = 0/0 = Infinity

For x = 3 = 3/3(3-3) = 3/0 = Infinity

Hence x =0,3 are vertical asymptotes of given function.