Answer:
[tex]f(6) = 15[/tex]
Step-by-step explanation:
Given
[tex]f(x) = \left \{ {{|x - 8| + 6 \ x<4} \atop {15\ x\ge 4}} \right.[/tex]
Required
Find f(6)
From the piecewise function, we have following as values of f(x):
[tex]f(x) = |x - 8| + 6[/tex]
If [tex]x < 4[/tex]
[tex]f(x) = 15[/tex]
If [tex]x \ge 4\\[/tex]
f(6) implies that x =6 and [tex]6 \ge 4[/tex]
So, we make use of the second function, which is:
[tex]f(x) = 15[/tex]
Substitute 6 for x in [tex]f(x) = 15[/tex]
[tex]f(6) = 15[/tex]
Hence, the value of f(6) is 15
