Question

8. Which, if any, of the points is a hole of f(x)?

Ext10
f(x)=x2+9x+18
A. A hole exists on f(x) where x = -3.
B. A hole exists on f(x) where x = 5.
C. A hole exists on f(x) where x = -6,
D. The function does not have any holes.
hholow was obtained by tran

Answer 1

CORRECT ANSWER:

A.) A hole exists on f(x) where x = -3.

The hole occurs at x = -3 because if we factor f(x) as (x+3)(x+6), we can see that there is a common factor of (x+3) in both the numerator and denominator of the expression (x+3)/(x+6). This means that the function has a hole at x = -3, where the factor (x+3) cancels out.