For this case we have to find the value of[tex]h (x)[/tex]when [tex]x = -7[/tex], for this we must replace the value of [tex]x = -7[/tex] in the given equation. We have:
[tex]h (x) = | 3x | - 1[/tex]
Substituting [tex]x = -7[/tex]
[tex]h (-7) = | 3 (-7) | - 1[/tex]
Considering what [tex]+ * - = -[/tex]
[tex]h (-7) = | -21 | -1[/tex]
Taking into account that by definition; [tex]| -a | = a[/tex]
[tex]h (-7) = 21-1\\h (-7) = 20[/tex]
So, [tex]h (-7) = 20[/tex]
Answer:
Option D
