Co-Authored By:
IN GENERAL , has NO INVERSE , IF IT IS NOT A ONE-TO-ONE FUNCTION.,because only such functions are invertible. ? BUT if a cubic functionis is of the following form/can be converted to the following form, it is invertible : (i) f(x)=(ax+b)³+c, a≠0 , b,c∈|R, with its natural domain, x∈|R or a reduced domain.
Also to know is, is the inverse of a cubic function also a function?
We say that the cube root function is the inverse of the cube function. The square function is not uniquely invertible, so it does not have an inverse function. For example, in any given year the number of bagels consumed in the U.S. is a function of the day.
Also to know is, what kind of function is the inverse of a cubic function?
Finding the cube root and cubing are inverse operations. A function can also have an inverse. The inverse function of f(x) is written as f-1 (x).
In mathematics, an inverse function (or anti-function) is a function that "reverses" another function: if the function f applied to an input x gives a result of y, then applying its inverse function g to y gives the result x, and vice versa, i.e., f(x) = y if and only if g(y) = x.