Explanation:
Step 1: Find which piece-wise function it is in
Equation 1 → x < -7
Let x = -5 → (-5) < -7 ← False
Equation 2 → -7 ≤ x < -5
Let x = -5 → -7 ≤ (-5) < -5 ← False
Equation 3 → x ≥ -5
Let x = -5 → (-5) ≥ -5 ← True
Step 2: Find the value of h(-5)
![h(-5) = 4x - 3](https://img.qammunity.org/2021/formulas/mathematics/middle-school/td274rvfvbngcnv3q99ywvf881silwvdu5.png)
![h(-5) = 4(-5) - 3](https://img.qammunity.org/2021/formulas/mathematics/middle-school/d4ormbveflu0gy560kpm96ctmj588g4iaj.png)
![h(-5) = -20 - 3](https://img.qammunity.org/2021/formulas/mathematics/middle-school/jvyf89qyo0r1v9ynwsqi4o2jylbi3sb7l6.png)
![h(-5) = -23](https://img.qammunity.org/2021/formulas/mathematics/middle-school/ekl3y6du3ppxc7g3vr7tn4gnlf80epdhqc.png)
Answer:
![h(-5) = -23](https://img.qammunity.org/2021/formulas/mathematics/middle-school/ekl3y6du3ppxc7g3vr7tn4gnlf80epdhqc.png)