Domain And Range Of A Reciprocal Function
It is an odd function.
Domain and range of a reciprocal function. F x 1 x. The range of the reciprocal function is the same as the domain of the inverse function. To find the domain of the reciprocal function let us equate the denominator to 0 begin align x 3 0 end align begin align therefore x 3 end align so the domain is the set of all real numbers except the value begin align x 3 end align.
This is the reciprocal function. F x 1 x. Its domain is the real numbers except 0 because 1 0 is undefined.
This is its graph. Example 1 if g x is the reciprocal of f x what is the value of g x f x. Reciprocal function has horizontal and vertical asymptotes look for the horizontal and vertical translation which will change their position and thereby affe.
The symmetry of the reciprocal function s graph will depend on the constant s sign.