To solve the equation \( \frac{x}{4} = 12 \) using inverse operations, we need to get \( x \) by itself.
- The current operation is division by 4. The inverse operation of division is multiplication.
- Multiply both sides of the equation by 4:
\[ x = 12 \times 4 \]
- Calculate \( 12 \times 4 = 48 \).
So, the solution is:
\[ x = 48 \]
Therefore, the correct response is: Inverse operation is multiplication; x = 48.