determine f(x-1) for the following function.

Answer:
[tex]f(x +1) = \sqrt{x +7} -8[/tex]
Step-by-step explanation:
Given:
[tex]f(x) = \sqrt{x +6} -8[/tex]
Solving for [tex]f(x +1)[/tex]:
[tex]f(x +1) = \sqrt{(x +1) +6} -8 \\ f(x +1) = \sqrt{x +7} -8[/tex]