To solve the equation \( \frac{x}{4} = 12 \) using inverse operations, you want to eliminate the division by 4. The inverse operation of division is multiplication.
Multiply both sides of the equation by 4:
\[ x = 12 \times 4 \]
Calculating the right side:
\[ x = 48 \]
So, the correct response is:
Inverse operation is multiplication; x = 48.