The function f is such that f(x) = 3x 7 for x . The function

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The function f is such that f(x) = 3x − 7 for x ∈ ℝ.
The function g is such that


a. Find the value of x for which fg(x) = 5.

b. Find f−1(x) and g−1(x).

c. Show that the equation f−1(x) = g−1(x) has no real roots.

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