Answer:
[tex]f(0)=4[/tex]
[tex]f(6) = 8[/tex]
Step-by-step explanation:
Given
The piece wise function
Solving (a): f(0)
To solve for f(0), we make use of:
[tex]f(x) = x + 4[/tex]
Because: the inequality [tex]x < 5[/tex] satisfies x = 0
i.e: [tex]0 < 5[/tex]
So, we have:
[tex]f(x) = x + 4[/tex]
[tex]f(0)=0 + 4[/tex]
[tex]f(0)=4[/tex]
Solving (b): f(6)
To solve for f(6), we make use of:
[tex]f(x) = 8[/tex]
Because: the inequality [tex]5 \le x < 7[/tex] satisfies x = 6
i.e: [tex]5 \le 6 < 7[/tex]
So, we have:
[tex]f(6) = 8[/tex]
