Question

For what values of x, if any, does `f(x) = 1/((x-9)(x-1)(x-3))` have vertical asymptotes?

Answer 1

x = 9 , x = 1 , x = 3

Explanation:

Vertical asymptotes occur when the denominator of a rational function tends to zero. To find the equation/s let the denominator equal zero.

solve : (x-9)(x-1)(x-3) = 0 `rArr x = 9 , x = 1 " and " x = 3`

Here is the graph of the function
graph{1/((x-9)(x-1)(x-3)) [-20, 20, -10, 10]}