Evaluate the expression for f = 2 and g = 4. Simplify your answer.

Question

f2
fg − g
=

Answer 1

To evaluate the expression

\[ \frac{f^2}{fg - g} \]

for \( f = 2 \) and \( g = 4 \), we need to follow these steps:

1. Substitute the values of \( f \) and \( g \):

   \[ f^2 = 2^2 = 4 \]

   \[ fg = 2 \times 4 = 8 \]

   Thus, we have:

   \[ fg - g = 8 - 4 = 4 \]

2. Now substitute these values back into the expression:

   \[ \frac{f^2}{fg - g} = \frac{4}{4} \]

3. Simplify the fraction:

   \[ \frac{4}{4} = 1 \]

So, the evaluated and simplified expression is

\[ \boxed{1} \]