
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 that the function $f(x)$ satisfies $f(x+1)=x^2-1$, determine the expression for $f(x)$ from the options below.

A) $f(x)=x^2-2x$
B) $f(x)=x^2+2x$
C) $f(x)=x^2-4x$
D) $f(x)=x^2+4x$

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