= Graphs and Functions Composition of two functions: Basic Suppose that the functions \( q \) and \( r \) are defined as follows. \[ \begin{array}{l}q(x)=3 x-2 \\ r(x)=4 x+5 \\ (r \circ q)(-1)=\square\end{array} \] Find the following. \( (q \circ r)(-1)=\square \)

To find \((q \circ r)(-1)\), we'll follow these steps: 1. **Understand the Composition:** The composition \((q \circ r)(x)\) means \( q(r(x)) \). So, we first apply \( r \) to \( x \), and then apply \( q \) to the result of \( r(x) \). 2. **Compute \( r(-1) \):** Given \( r(x) = 4x + 5 \), substitute \( x = -1 \): \[ r(-1) = 4(-1) + 5 = -4 + 5 = 1 \] 3. **Compute \( q(r(-1)) = q(1) \):** Given \( q(x) = 3x - 2 \), substitute \( x = 1 \): \[ q(1) = 3(1) - 2 = 3 - 2 = 1 \] 4. **Final Answer:** \[ (q \circ r)(-1) = q(r(-1)) = q(1) = 1 \] **Therefore,** \[ (q \circ r)(-1) = 1 \]