
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
For values of $x$ such that $1 < x < 5$, evaluate the expression $\frac{x^2 - 4x + 5}{2x - 6}$ and determine if it has a maximum or minimum value within this domain.

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