Question

A rational function (in factored form) with a vertical asymptote at x = 2, a horizontal asymptote of zero and a hole at x = −3.write the equation.

Answer 1

The equation of the rational function with a vertical asymptote at x = 2, a horizontal asymptote of zero, and a hole at x = -3 is f(x) = (x + 3) / (x - 2).

Step-by-step explanation:

A rational function can be written in the form f(x) = (x - a) / (x - b), where 'a' is the x-coordinate of the hole and 'b' is the x-coordinate of the vertical asymptote.

Based on the information given, we know that the hole is at x = -3 and the vertical asymptote is at x = 2.

Therefore, the equation of the rational function is f(x) = (x + 3) / (x - 2).