Evaluate the rational expression below at $x=-1$
$\frac{12}{x+3}$

• A. $4$
• B. $3$
• C. $12$
• D. $6$

Answer: (D)

Verified step by step guidance

1. Identify the given rational expression: \(\frac{12}{x+3}\).
2. Substitute the given value \(x = -1\) into the expression, replacing every \(x\) with \(-1\).
3. Rewrite the expression after substitution as \(\frac{12}{-1 + 3}\).
4. Simplify the denominator by performing the addition inside the denominator: calculate \(-1 + 3\).
5. Express the simplified fraction as \(\frac{12}{\text{(result from step 4)}}\) and prepare to evaluate the division.