Question5.
Describe the domain for the following function. Write your answer in interval notation. $$f(x)=\frac{1}{x-7}-\frac{\sqrt{x+2}}{x-6}$$

Studdy Solution
Write the domain in interval notation:
The domain is all $x$ such that $x$ is greater than or equal to $-2$, excluding $6$ and $7$. In interval notation, this is:
$$[-2, 6) \cup (6, 7) \cup (7, \infty)$$
The domain of the function is $\boxed{[-2, 6) \cup (6, 7) \cup (7, \infty)}$.