Answer:
Option A - If the domain of
is restricted to
,
is a function.
Step-by-step explanation:
Given : Expression ![y=\cos^{-1}x](https://tex.z-dn.net/?f=y%3D%5Ccos%5E%7B-1%7Dx)
To find : Which statement is correct about the given expression?
Solution :
The domain of the inverse cosine function is [−1,1] and the range is [0,π] .
We have given the inverse function ![y=\cos^{-1}x](https://tex.z-dn.net/?f=y%3D%5Ccos%5E%7B-1%7Dx)
As the domain of
is restricted to
as after
the value repeats itself and not satisfying the inverse function property.
Therefore, Option A is correct.
If the domain of
is restricted to
,
is a function.