Evaluate piecewise functions
Pls answer
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Answer:
-23
Step-by-step explanation:
x = -5 lies in the last piece
h(-5) = 4(-5) - 3
= -20 - 3
= -23
Step-by-step 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)
[tex]h(-5) = 4x - 3[/tex]
[tex]h(-5) = 4(-5) - 3[/tex]
[tex]h(-5) = -20 - 3[/tex]
[tex]h(-5) = -23[/tex]
Answer: [tex]h(-5) = -23[/tex]