Question

!!!!PLEASE HELP!!!!

What would need to be true in a rational function to get a hole at x = 4 and a vertical asymptote at x = -3? Write an expression that would make this possible!

Answer 1

f(x) = (x + 3)(x - 4) / (x + 3)

Explanation:

In order for a rational function to have a hole at x = 4 and a vertical asymptote at x = -3, the denominator must be equal to zero at x = 4 and the numerator must be equal to zero at x = -3. This can be accomplished with the following expression:

f(x) = (x + 3)(x - 4) / (x + 3)