Question

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

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

\[
\boxed{1}
\]