
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
Let 
\[f(x) = \frac{x^3 - 6x^2 + 11x - 6}{2x-4}\] and 
\[g(x) = \frac{2x^3 - 6x^2 + 5x + d}{x-2}\].
Given that the graphs of $f(x)$ and $g(x)$ have:
- The same vertical asymptote.
- Perpendicular oblique asymptotes intersecting the y-axis.
- Two intersection points, one of which is on the line $x = -1$.
Find the point of intersection of the graphs of $f(x)$ and $g(x)$ that does not lie on the line $x = -1$.

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