Answer: f(19) = 29/7.
Step-by-step explanation: 1. Replace x with 19 in the function. This gives you:
![(3)/(19+2) - √(19-3)](https://img.qammunity.org/2023/formulas/mathematics/high-school/mj119o2877h2vp3r9hf94269uyiaida72d.png)
2. Reduce these items to get:
![(3)/(21) - √(16) \\](https://img.qammunity.org/2023/formulas/mathematics/high-school/ga6zlogdxfi88rmjxr8l1wy68rho5erbfc.png)
3. Reduce again:
![(1)/(7) + 4 = (1)/(7)+(28)/(7) = (29)/(7)](https://img.qammunity.org/2023/formulas/mathematics/high-school/f568ur6k8pfc5cmpuiwrvs0572s4w90f5p.png)
4. However, be cautious. The full answer for this has a negative component (
) because the square root of 16 can be either 4 or -4.