
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 $f(x)=ax+ \frac {a-1}{x}(a∈R)$, $g(x)=\ln x$.
(1) When $a=2$, find the minimum value of the function $h(x)=f(x)-g(x)$.
(2) When $a > 0$, for any $x\geqslant 1$, the inequality $f(x)-g(x)\geqslant 1$ always holds. Find the range of values for the real number $a$.

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