To subtract the complex numbers \( (9 + i) - (4 + 6i) \), we can combine the real and imaginary parts separately.
- Subtract the real parts: \( 9 - 4 = 5 \)
- Subtract the imaginary parts: \( 1 - 6 = -5 \)
Now, combine the results:
\[ (9 + i) - (4 + 6i) = 5 - 5i \]
So the answer is:
\[ 5 - 5i \]