The oath is an important ceremonial gesture signifying the official start to oneâs term in office. Importantly, it is a means for the official to make a public commitment to the duties, responsibilities and obligations associated with holding public office.
has no value for f(0). Thus, the set of all real numbers, R, cannot be its domain. In cases like this, the function is either defined on R\{0} or the gap is plugged by explicitly defining f(0). If we extend the definition of f to. then f is defined for all real numbers, and its domain is R {\displaystyle \mathbb {R} } .
f (x) = (x - 1) / (x + 2) Solution to Example 7. 1  For this rational function, a direct algebraic method similar to those above is not obvious. Let us first find its inverse, the domain of its inverse which give the range of f.  We first prove that f is a one to one function and then find its inverse.