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Some more possibilities

Define and compose:

f(x) := x^2 g(x) := 1/(x - 1) fog := f(g(x))

Invert

h(x) := 2x + 5 Solve[h(x) = y, x]

Define and function and invert it. (Try different functions)

h(x) := 2x + 5 Invert[$1]