Find the domain and range of 5/(x+3)

Expert Answers
justaguide eNotes educator| Certified Educator

The domain of a function f(x) is the set of values that x can take for which f(x) is a real number and the range of f(x) is all the values f(x) for x lying in the domain.

For f(x) = `5/(x + 3)`

The domain is R - {-3} as the result of a number divided by 0 is not defined.

The range of f(x) is R - {0} as for no value of x is the value of f(x) equal to 0.

The required domain is R - {-3} and the range is R - {0}