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Find the range of the following function...

Find the range of the following function
`y=log_3(log_(1//2)(x^2+4x+4))`

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`y=log_3(log_(1//2)(x^2+4))`
Since `0lt log_(1//2)(x^2+4x+4)lt infty AA x in ` Domain
`-inftyltlog_3(log_(1//2)(x^2+4x+4))ltinfty`
`implies` Range (y) = `(-infty, infty)`
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