A function f is defined as

a. Find an expression, in terms of x, for f´(x) and explain how your answer shows that f is a decreasing function.
b. Find an expression, in terms of x, for f⁻¹(x) and find the domain of f⁻¹.
c. On a diagram, sketch the graph of y = f(x) and the graph of y = f⁻¹(x) , making clear the relationship between the two graphs.

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f(x): = 4 2x + 1 for x 0.