Question
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)
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
Upstudy AI Solution
Tutor-Verified Answer
Answer
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
.