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If f: RvecR is given by f(x)=(x^2-4)/(x^...

If `f: RvecR` is given by `f(x)=(x^2-4)/(x^2+1)` , identify the type of function.

Text Solution

Verified by Experts

The correct Answer is:
many-one, into

`f(x)=f(-x), " So, "f` is many-one.
Also, `f(x)=1-(5)/(x^(2)+1) in [-4,1) " So, "f` is into.
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