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

The domain of the function \( f(x) = \frac{x-2}{x+4} \) consists of all real numbers except for the value that makes the denominator zero. To find this value, set the denominator equal to zero: \( x + 4 = 0 \) which simplifies to \( x = -4 \). Thus, the function is defined for all \( x \) except \( -4 \). In interval notation, the domain is expressed as \( (-\infty, -4) \cup (-4, \infty) \).