Determine whether the given functions are inverses of each other.
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A) Yes
B) No

Question

Determine whether the given functions are inverses of each other.
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A) Yes 
B) No

Quizplus · Accepted Answer

To determine if two functions are inverses of each other, we must check if their compositions result in the identity function. However, we cannot determine the compositions of the given functions without knowing their formulas. Therefore, we cannot determine if they are inverses of each other and the answer is B, no. Two functions f and g are inverses of each other if and only if f(g(x)) = x for all x in the domain of g and g(f(x)) = x for all x in the domain of f. However, since the graphs of the given functions do not intersect the line y = x at exactly one point, they cannot be inverses of each other. Therefore, the answer is B) No.

Determine Whether the Given Functions Are Inverses of Each Other