If g(x) is the inverse of f(x), then by definition of inverse function,
f(g(x)) = g(f(x)) = x
Given that f(x) = 5x - 4, we have
f(g(x)) = 5 g(x) - 4 = x
Solve for g(x) :
5 g(x) - 4 = x
5 g(x) = x + 4
g(x) = (x + 4)/5
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