
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 $f(x)= \begin{cases} kx+2, & x\geqslant 0 \\ \left( \frac {1}{2}\right)^{x}, & x < 0\end{cases}$, if the equation $f(f(x))- \frac {3}{2}=0$ has no solution in the set of real numbers, find the range of the real number $k$.

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