Problem

(a) Find the inverse function of f(x)=7x6.
f1(x)=
(b) The graphs of f and f1 are symmetric with respect to the line defined by y=

Answer

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Answer

Final Answer: The inverse function of f(x)=7x6 is f1(x)=x7+67.

Steps

Step 1 :The inverse function of a function can be found by swapping the x and y values and solving for y. In this case, we need to find the inverse of f(x)=7x6. This means we need to solve the equation x=7y6 for y.

Step 2 :Solving the equation x=7y6 for y, we get y=x7+67.

Step 3 :So, the inverse function of f(x)=7x6 is f1(x)=x7+67.

Step 4 :Final Answer: The inverse function of f(x)=7x6 is f1(x)=x7+67.

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