1.

The largest interval lying in `(-pi/2,pi/2)`for which thefunction `[f(x)=4^-x^2+cos^(-1)(x/2-1)+log(cosx)]`is defined,is(1) `[0,pi]`(2) `(-pi/2,pi/2)`(3) `[-pi/4,pi/2)`(4) `[0,pi/2)`

Answer» `F(x)=4^(-x^2)+cos^-1(x/2-1)+log(cosx)`
`-1<=x/2-1<=1`
`0<=x/2<=2`
`0<=x<=4........(1)`
`log (cosx) when cosx>0`
`cos>0`
`x=(0,pi/2).....(2)`
final`x=(0,pi/2)`
option`4`


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