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!