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If domain of f(x) is [1, 3], then the do...

If domain of `f(x)` is [1, 3], then the domain of `f(log_(2)(x^(2)+3x-2))` is

A

`[-5,-4]uu[1,2]`

B

`[-13,-2]uu[(3)/(5),5]`

C

`[4,1]uu[2,7]`

D

`[-3,2]`

Text Solution

Verified by Experts

The correct Answer is:
A
`1lelog_(e)(x^(2)+3x-2)le3`
`rArr" "2le(x^(2)+3x-2)le8`
`rArr" "-5lex le-4 and 1 le x le2`
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