Answer
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Step 1:: To find the inverse of a function, we first replace f(x) with y.
This gives us the equation y = 7x.
Step 2:: Next, we interchange the roles of x and y to find the inverse.
This means we replace y with x and x with y, giving us the equation x = 7y.
Step 3:: To solve for y, we need to isolate y on one side of the equation.
y = \frac{x}{7}
We can do this by dividing both sides of the equation by 7.
Step 4:: Finally, to get the inverse function, we replace y with f^- 1(x).
f^{-1}(x) = \frac{x}{7}
This gives us the inverse function:
Final Answer
The inverse of the function f(2$) = 7x is f^- 1(x) = (1 / 7)x.
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