
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Given the function $f(x)= \sqrt {-x^{2}+2x+8}$, the domain is set A. The function $g(x)=\log(-x^2+6x+m)$ has the domain set B.

1. When $m=-5$, find $A \cap \overline{B}$.
2. If $A \cap B=\{x \mid -1 < x \leq 4\}$, find the value of the real number $m$.

Present the answer in LaTex format: \boxed{Your answer}
user