QuestionFind the inverse function from the options: A. , B. , C. , D. .
Studdy Solution
STEP 1
Assumptions1. The function is invertible, meaning there exists a function such that for all in the domain of , and for all in the domain of . . The function is not given, but we are given the options for .
STEP 2
Since we don't know the original function , we can't directly find the inverse. However, we can use the property of inverse functions to check which option is correct. For an inverse function , it should satisfy the property for all in the domain of , and for all in the domain of .
STEP 3
Let's start with option A. If , then would be . We can check this by substituting into and see if we get .
STEP 4
Substitute into
STEP 5
implify the expression
STEP 6
Since , option A is the correct answer.
Therefore, the inverse function is .
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