Answer: f(19) = 29/7.
Step-by-step explanation: 1. Replace x with 19 in the function. This gives you:
[tex]\frac{3}{19+2} - \sqrt{19-3}[/tex]
2. Reduce these items to get:
[tex]\frac{3}{21} - \sqrt{16} \\[/tex]
3. Reduce again:
[tex]\frac{1}{7} + 4 = \frac{1}{7}+\frac{28}{7} = \frac{29}{7}[/tex]
4. However, be cautious. The full answer for this has a negative component ([tex]\frac{-27}{7}[/tex]) because the square root of 16 can be either 4 or -4.
