Algorithm to check function is invertible

Every function is invertible.

Algorithm of one-one function

Which of the following function is invertible f(x)=2^(x)

Using the definition, Prove that the function f:A to B is invertible if and only if f is both one-one and onto.

Algorithm to check consistancy of a linear system.

Statement-1 : Let f : [1, oo) rarr [1, oo) be a function such that f(x) = x^(x) then the function is an invertible function. Statement-2 : The bijective functions are always invertible .

Prove that the function f : [ 0,oo)rarrR , given by f(x)=9x^(2)+6x-5 is not invertible. Modify the co-domain of the function f to make it invertible, and hence, find f^(-1) .

How to check a function is symmetry about a point and line?

Algorithm to find solution set of inequalities

If f is a function form a set A to A , then f is invertible iff f is