What is the domain for the rational function y=(2)/(x+4)-7 ? A. (-infty ,-4)cup (-4,infty ) B. (-infty ,7)cup (7,infty ) C. (-infty ,-7)cup (-7,infty ) D (-infty ,4)cup (4,infty )

The domain of a rational function is all real numbers except for those that make the denominator zero. In this case, the denominator is . To find the values that make the denominator zero, we set the denominator equal to zero and solve for : So, the value that makes the denominator zero is . Therefore, the domain of the function is all real numbers except . In interval notation, this is written as . So, the correct answer is A. .