
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 $f(x)=\frac{4x^3 + 2x^2 + x + 10}{2x^2 - 3x + 5}$ and $g(x)=2x-2$. Find $f(g(x)) + g(f(x))$, evaluated when $x=2$.

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