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A function y=f(x) is given by x=1/(1+t^2...

A function `y=f(x)` is given by `x=1/(1+t^2)` and `y=1/(t(1+t^2))` for all `tgt0` then `f` is

A

Increasing for ` t in (0,(3)/(2))` and decreasing for ` t in ((3)/(2),oo)`

B

Decreasing for ` t in (0,(1)/(2))`

C

Increasing for ` t in (-,oo)`

D

Decreasing for ` t in (0,1) `

Text Solution

Verified by Experts

The correct Answer is:
C
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