Given:
![((x+3)(x+6))/(x+7)](https://img.qammunity.org/2023/formulas/mathematics/college/3ijbvmhs4ztdwasd6ph2ox3cdym18uplsr.png)
Required:
We need to find the value of x that makes the given expression is undefined.
Step-by-step explanation:
Recall that a rational expression is undefined when the denominator is equal to zero.
The denominator of the given expression is x+7.
Equate it to zero.
![x+7=0](https://img.qammunity.org/2023/formulas/mathematics/college/reb7er0lc1321ncjx2hzc4tei2konyxoex.png)
Subtract 7 from both sides of the equation.
![x+7-7=0-7](https://img.qammunity.org/2023/formulas/mathematics/college/25jnkx2x139aii0nxzclgwyux9ay7c1lyu.png)
![x=-7](https://img.qammunity.org/2023/formulas/mathematics/college/lvk5kvk37o39xiby3yvk20443upwsjp2io.png)
Final answer:
![x=-7](https://img.qammunity.org/2023/formulas/mathematics/college/lvk5kvk37o39xiby3yvk20443upwsjp2io.png)