
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 $f(x) = a^{x+1} - 2$ ($a > 1$), its inverse function is denoted as $y = f^{-1}(x)$. If the graph of the function $y = f^{-1}(x)$ does not pass through the second quadrant, then the range of values for $a$ is ___.

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