If f(x)=3x + 2, find f(f^-1(14)).

f(x) = 3x + 2

x = 3f-1(x) + 2

x - 2 = 3f-1(x)

(x - 2)/3 = f-1(x)

(14 - 2)/3 = f-1(14)

12/3 = f-1(14)

4 = f-1(14)  

f(f-1(14)) = f(4)

f(4) = 3(4) + 2

f(4) = 12 + 2

f(4) = 14

A function and its inverse are inverse operations, like addition and subtraction. They undo each other.

f(f-1(x) = x

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