\( 1 \leftarrow \) Find the domain of the function. \[ f(x)=\frac{x-4}{x+2} \] The domain of \( f(x)=\frac{x-4}{x+2} \) is (Type your answer in interval notation.)

To find the domain of the function \( f(x) = \frac{x-4}{x+2} \), we need to identify any values of \( x \) that would make the denominator equal to zero, as these values will be excluded from the domain. The denominator \( x + 2 \) equals zero when \( x = -2 \). Therefore, the function is defined for all real numbers except \( -2 \). In interval notation, the domain of \( f(x) \) is: \[ (-\infty, -2) \cup (-2, \infty) \]