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Answer:
see the explanation
Step-by-step explanation:
we have
Find the inverse of A(x)
Let
y=A(x)
Exchange the variables x for y and y for x
Isolate the variable y
Let
------> function inverse of A(x)
<em>Explanation</em>
For x=1
Find the value of A(x)
The point (1,7) is a solution for A(x)
That means-----> The point (7,1) is a solution for the function inverse g(x)
Verify
For x=7
The point (7,1) is a solution for g(x)
therefore
A(x) and g(x) are inverses of each other if the point (x,y) is a solution of A(x) and the point (y,x) is a solution of g(x)