
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 piecewise function defined for real numbers \(x\) as follows:
\[
f(x) = \left\{
\begin{array}{cl}
x + 4 & \text{ if } x \ge 5, \\
3x + b & \text{ if } x < 5.
\end{array}
\right.
\]
Find the value of \(b\) such that the function \(f(x)\) is continuous.

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