If a function is even ie if f(-x) = f(x). Such a function would be symmetric about the y-axis. So f(x) is a many-to-one function. The inverse mapping then is one-to-many which is not a function.
In fact, the function need not be symmetric about the y-axis. Symmetry about x=k (for any constant k) would also do.
Also, leaving aside the question of symmetry, the existence of an inverse depends on the domain over which the original function is defined. Thus, y = f(x) = x2 does not have an inverse if f is defined from the real numbers (R) to R. But if it is defined from (and to) the non-negative Reals there is an inverse - the square-root function.
Reflection about the y-axis.
A study of inverse relationships is one of a very large number of uses for rational functions. Only a rational function of a very special kind will be of any use.
Bilateral symmetry.
Bilateral symmetry
Bilateral symmetry
Reflection about the y-axis.
A study of inverse relationships is one of a very large number of uses for rational functions. Only a rational function of a very special kind will be of any use.
bilateral symmetry
Lateral Symmetry.
Bilateral symmetry
Radial Symmetry
turn symmetry
Bilateral symmetry.
Bilateral symmetry. All humans have bilateral symmetry.
radial symmetry
Radial Symmetry
Radial symmetry