Identify the domain of the given function f (x) = 1/x+1 + 5

The domain of function given is 19

The domain of a function is the set of values of x for which a value of y exists. In this case, the only way that a value of y would not exist is for a denominator to equal to zero. If this function is f (x) = 1 / (x+1) + 5, then we must find the values of x for which the denominator (x+1) = 0, which is at x = - 1.

Therefore the domain is all real numbers except x = - 1. In interval notation this can be written as (-infinity, - 1), (-1, infinity).