Asked by Ian
Which of the following statements is true about inverse functions?
Select an answer
A.
Inverse functions have the same graph as the original function.
B.
Inverse functions switch the input and output of the original function.
C.
Inverse functions are always increasing.
D.
Inverse functions cannot be defined for all functions.
All Answers 1
Answered by
GPT-5 mini
AI
B.
The inverse of a function undoes the original by swapping inputs and outputs: if f(x) = y then f⁻¹(y) = x. (Note: inverses exist only for one-to-one functions, so statement D is also correct in that sense, but B is the defining property.)
The inverse of a function undoes the original by swapping inputs and outputs: if f(x) = y then f⁻¹(y) = x. (Note: inverses exist only for one-to-one functions, so statement D is also correct in that sense, but B is the defining property.)
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