Two functions f(x) and g(x) are inverses if and only if is true that each function evaluated in the other is equivalent to the identity.
This means that:
f( g(x)) = g( f(x)) = x
With this we can see that:
Input = area
Output = radius.
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Let's see how we concluded that.
First, we know that the function:
y = A(n) converts an input, the radius of a circle into an output, the circle's area.
Let's assume that G(x) is the inverse function, and "n" is the variable that represents the radius.
By the definition of inverse functions we must have that:
G( A(n)) = n
and n is a radius, so the output of the inverse function is the radius of a circle.
And A(n) is the area of that circle, then the input for the inverse function is the area.
Finally, we can conclude that:
Input: Area
Output: Radius.
If you want to learn more, you can read:
https://brainly.com/question/2541698
