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For the following function, a) determine whether it is one-to-one; ) if it is one-to-one, find its inverse fun

Is the given function a one-to-one function? Select the correct choice below and, if necessary, fill in the as
A. Yes, the function is one-to-one. The inverse function is
(Simplify your answer)

Ask by Colon Morrison. in the United States
Nov 24,2024

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A. Yes, the function is one-to-one. The inverse function is .

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Beyond the Answer

Yes, the function is one-to-one. A function is one-to-one if each output value corresponds to exactly one input value, which is true for because it’s a linear function with a slope of 1.
The inverse function can be found by switching and and solving for . Starting with , we swap and get . Solving for gives us . Thus, the inverse function is .

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