Question

Find the v asymptote. F(x)=12 /((x+8)(x-3))

Answer 1

The function f(x) = 12 / ((x+8)(x-3)) has vertical asymptotes at x = -8 and x = 3, which are found by setting the denominator equal to zero and solving for x.

Step-by-step explanation:

To find the vertical asymptote(s) of the function f(x) = 12 / ((x+8)(x-3)), we look for the values of x that make the denominator equal to zero because these are the values where the function is undefined. A vertical asymptote occurs at each of these values.

Setting the denominator equal to zero gives us two equations:

• x + 8 = 0
• x - 3 = 0

Solving these equations gives us the x-values:

• x = -8
• x = 3

Therefore, the function has vertical asymptotes at x = -8 and x = 3.