Answer on Functional Analysis Question for Alex
f(z) = z? = | z:=1/4(x + 5) | = (1/4(x + 5))? = f[1/4(x + 5)] = g(x).
If you need to change g(x) back to f(x) you have to provide linear substitution x --> 4x - 5, it is an inverse problem:
g(z) = f[1/4(z + 5)] = | z:=4x - 5 | = f[1/4(4x - 5 + 5)] = f[1/4(4x)] = f(x).
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