If f(x) = 3x-4 and g(x) = 4-3x then the solution of f(g(x)) = g(f(x)) proves that they are not inverse functions.
According to the question,
We have the following two functions:
f(x) = 3x-4 and g(x) = 4-3x
We know that in order to find whether two functions are inverse of each other or not we need to find the value of f(g(x)) and g(f(x)) and then see whether they are equal to x.
Now, among the given options, the only option representing this kind of solution is option D and the solutions are not equal which proves that they are not inverse functions.
Hence, the correct option is D.
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