
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
The function \( f(x) \) is defined as \( f(x) = \frac{x-1}{x+1} \).  
The equation \( f(x^2) \times f(x) = 0.72 \) has two solutions \( a \) and \( b \), where \( a > b \). What is the value of \( 19a + 7b \)?

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