The function you provided seems to be written as:

\[
r(x) = \frac{2x+1}{x+2}
\]

To find the restriction(s) on this function, we need to ensure that the denominator is not equal to zero, as division by zero is undefined.

### Step-by-Step:
1. The denominator of the function is \(x + 2\).
2. To find the restriction, we set the denominator equal to zero and solve for \(x\):

\[
x + 2 = 0
\]

\[
x = -2
\]

### Conclusion:
The restriction is that \(x \neq -2\), because at \(x = -2\), the denominator becomes zero, making the function undefined.

### Final Answer:
The restriction is \(x \neq -2\).

Would you like further details or have any questions?

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Here are 5 related questions to further your understanding:
1. How do we find restrictions for more complex rational functions?
2. What happens to the graph of the function at \(x = -2\)?
3. How do vertical asymptotes relate to function restrictions?
4. Can a function have multiple restrictions?
5. What are horizontal asymptotes, and how can they be determined?

**Tip:** Always check the denominator of a rational function to ensure it's not zero for any \(x\)-value!

Find the restriction/s for the function r(x) = (2x+1)/(x+2)

Learn how to find the restrictions for the rational function r(x) = (2x+1)/(x+2). This solution explains why division by zero is undefined and how to find the values of x that make the function undefined. Suitable for Grades 8-10 students.

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