Suppose that the functions \( q \) and \( r \) are defined as follows. \[ \begin{array}{l}q(x)=x^{2}+4 \\ r(x)=\sqrt{x+5}\end{array} \] Find the following.

To find the results of the functions \( q(x) \) and \( r(x) \), we can evaluate them for specific values of \( x \) or find their compositions. 1. **Evaluating \( q(x) \)**: If we, for instance, plug in \( x = 2 \): \[ q(2) = 2^2 + 4 = 4 + 4 = 8 \] This means that when \( x \) is 2, \( q(x) \) outputs 8. 2. **Evaluating \( r(x) \)**: Now for \( x = 3 \): \[ r(3) = \sqrt{3 + 5} = \sqrt{8} = 2\sqrt{2} \approx 2.83 \] So when \( x \) is 3, \( r(x) \) gives us approximately 2.83. If you need calculations for other values of \( x \) or compositions, just let me know!