
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 $f(x)=a^{x}-b$ ($a > 0$ and $a\neq 1$, $b\in \mathbb{R}$), $g(x)=x+1$, if for any real number $x$, $f(x)\cdot g(x) \leqslant 0$, then the minimum value of $\dfrac {1}{a}+ \dfrac {4}{b}$ is \_\_\_\_\_\_.

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