Question 939681
The way to express the functions in pure text is like this:


f(x)=(2x-3)/(x+4)   and   g(x)=(3+4x)/(2-x)


Surrounding each with the triple curly brace rendering tags gives the expected appearance,
 {{{f(x)=(2x-3)/(x+4)}}}   and   {{{g(x)=(3+4x)/(2-x)}}}




To answer the question, you have a couple of choices.


Form their composition and simplify.  Is the result, x ?


OR


Select one of the functions.  Let the function name be y, switch x and y, and solve for y.  Is this result equivalent to the other function  ?