Question

Determine the x-intercepts of the following equation.
left parenthesis, minus, x, minus, 3, right parenthesis, left parenthesis, minus, x, minus, 4, right parenthesis, equals, y
(−x−3)(−x−4)=
y

Answer 1

To determine the x-intercepts of the equation \((-x-3)(-x-4) = y\), we need to set \(y = 0\). This gives us the equation:

\[
(-x-3)(-x-4) = 0
\]

For the product to be zero, at least one of the factors must be equal to zero. Let's solve each factor:

1. Set \(-x - 3 = 0\):
\[
-x = 3 \quad \Rightarrow \quad x = -3
\]

2. Set \(-x - 4 = 0\):
\[
-x = 4 \quad \Rightarrow \quad x = -4
\]

Therefore, the x-intercepts of the equation are:

\[
\boxed{-3} \quad \text{and} \quad \boxed{-4}
\]