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Answer:
a = 1
Explanation:
The slope of the inverse of a linear function is the inverse of the slope of the original function.
The slope of g(x) is the coefficient of x: 1.
The inverse of 1 is 1/1 = 1.
The slope of the function g^-1(x) is 1, so a=1.
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Additional comment
g^-1(x) = x +65 . . . . . a=1; b=65