
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 $$f(x)= \begin{cases} x^{2}-4x, & x< \frac {1}{2} \\ \log_{ \frac {1}{2}}(2x+1), & x\geq \frac {1}{2}\end{cases}$$  
(1) Find the values of $$f\left( \frac {3}{2}\right)$$ and $$f(f\left( \frac {1}{2}\right))$$;  
(2) Find the solution set of the inequality $$f(x) > -3$$.

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