
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 the function $f(x)=ax- \frac {b}{x}$, the equation of the tangent line to the curve $y=f(x)$ at the point $(2,f(2))$ is $7x-4y-12=0$.

(1) Find the expression for $f(x)$.

(2) Find the constant value of the area of the triangle formed by the tangent line at any point on the curve $f(x)$, the line $x=0$, and the line $y=x$, and determine this constant value.

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