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Range of the function f(x)=log(0. 5) (3x...

Range of the function `f(x)=log_(0. 5) (3x-x^2-2)`

A

`(-oo,2]`

B

`[2,+ oo)`

C

R

D

`R-(2)`

Text Solution

Verified by Experts

The correct Answer is:
B

`f(x)=log_(0.5) (3x-x^(2)-2)`
Domain is `1 lt x lt 2`
`:." If " 1 lt x lt 2`
`0 lt 3x -x^(2) -2 le (1)/(4)`
`oo gt "ln"_(1//2) (3x-x^(2) -2) ge 2`
`:.` Range `[2,oo)`
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