Given the function below, evaluate $f\left(2\right)$
$f\left(x\right)=\frac{3}{11-x}$

• A. $3$
• B. $\frac{1}{3}$
• C. $\frac{3}{13}$
• D. $\frac{2}{3}$

Answer: (B)

Verified step by step guidance

1. Identify the given function: \(f(x) = \frac{3}{11 - x}\).
2. To evaluate \(f(2)\), substitute \(x = 2\) into the function, replacing every \(x\) with 2.
3. This gives the expression \(f(2) = \frac{3}{11 - 2}\).
4. Simplify the denominator by performing the subtraction: \$11 - 2$.
5. Write the simplified fraction \(\frac{3}{9}\) and then reduce it to its simplest form by dividing numerator and denominator by their greatest common divisor.