If range of function f(x) = (2log(2)^(1/...

If range of function `f(x) = (2log_(2)^(1//4) x - 3log_(27)(x^(2)+1)^(2)-2x)/(7^(4)log_(49)x-x-1)` is `[a, infty]`, then 4a is equal to

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The correct Answer is:

`3.00`

`f(x) =(x^(4)-(x^(2)+1)-2x)/(x^(2)-x-1)=x^(2) + x+1`
`therefore f_("min ") = -B/(4A) = 3/4`
`therefore " range "=[3/4, infty] therefore a=3`

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