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In order for determine the value g(1), substitute x= 1 into the given formula for g(x).
In order for to find f^(-1)(1), you should solve equation
f(x) = 1,
which is the same as
14x+2 = 1.
The found value of x from this equation will be f^(-1)(1), i.e. your answer.
Having my instructions, boldly go forward.