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If f: x ->y defined by f(x) = sqrt3 si...

If ` f: x ->y` defined by f(x) = ` sqrt3 sinx + cos x + 4` is one-one and onto, then x and y are given by

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`f(x)=sqrt3sinx+cosx+4`
`=(sqrt(3+1)(sqrt3sinx)/(sqrt(3+1))+cosx/sqrt(3+1))+4`
`=2(sinx*sqrt3/2+cosx*1/2)+4`
`y=f(x)=2sin(x+30^@)+4`
Option 2 is correct.
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