The functions f and g are defined, for x R, by f: x 3x -

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The functions f and g are defined, for x ∈ R, by f: x → 3x - k, where k is a positive constant g: x → 5x - 14/x+1, where x ≠ -1.

a. Find expressions for f-1 and g-1.

b. Find the value of k for which f-1(5) = 6.

c. Simplify g-1(x).

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