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H(x) increase as f(x) decreases for all ...

H(x) increase as f(x) decreases for all real values of x if

A

`a in (0,3)`

B

`a in (-2,2)`

C

`[3,oo)`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
4
h(x) increases as f(x) decreases for all values of x if
`3a(f(x))^(2)-2 af(x)+le for all x in R`
or `33a lt 0 and 4a^(2)-12ale 0`
or `a lt 0 and a in [0,3]`
So , such a is possible
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