Answer:
Use the inverse function theorem to find the derivative of g(x)=x+2x. Compare the resulting derivative to that obtained by differentiating the function directly. The inverse of g(x)=x+2x is f(x)=2x−1
Functions f and g are inverses if f(g(x))=x=g(f(x)). For every pair of such functions, the derivatives f' and g' have a special relationship
Step-by-step explanation:
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