Question

The domain of f(x) is the set of all real values except 7and the domain of g(x) is the set of all real values except -3. Which of the tollowing describes the domain of all real values except x = - 3 and the x for which f(x) ne7 all real values except and the x for which f(x) ne-3 all real values except x = 7 and the x for which f(x) = 7 real values except x = 7 the x for which f(x) = - 3

Answer 1

re-posting it so it's a bit neater

Which of the following describes the domain of (g/f)(x)?

all real values except x = - 3 and the x for which f(x) = 7
all real values except and the x for which f(x) = -3 all real values except x = 7 and the x for which f(x) = 7
real values except x = 7 the x for which f(x) = - 3

Answer 2

notice how f(x) is in the denominator of the function, so any values where f(x) = 0 are excluded from the domain

g(x) is in the numerator. any values that are excluded from g(x) will also be excluded from the final function

once you have all the excluded values, see which answer choices matches