
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
For real numbers \(x\), let
\[
f(x) = \left\{
\begin{array}{cl}
x+3 & \text{ if } x > 4, \\
3x + b & \text{ if } x \le 4.
\end{array}
\right.
\]
What must the value of \(b\) be to make the piecewise function \(f(x)\) continuous?

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