Step-by-step explanation:
<u>Step 1: Find which piece-wise function it is in</u>
<em>Equation 1</em> → x < -7
Let x = -5 → (-5) < -7 ← False
<em>Equation 2 </em>→ -7 ≤ x < -5
Let x = -5 → -7 ≤ (-5) < -5 ← False
<em>Equation 3 </em>→ x ≥ -5
Let x = -5 → (-5) ≥ -5 ← True
<u>Step 2: Find the value of h(-5)</u>
Answer: