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, the value of f(x) is:
[tex]f(x) = |x - 8| + 6[/tex]
If [tex]x < 4[/tex]
And the value of f(x) is:
[tex]f(x) = 15[/tex]
If [tex]x \ge 4\\[/tex]
In f(6), the value of x is 6 and [tex]6 \ge 4[/tex]
So, we make use of
[tex]f(x) = 15[/tex]
Substitute 6 for x
[tex]f(6) = 15[/tex]
