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The mid-point of the domain of the funct...

The mid-point of the domain of the function `f(x)=sqrt(4-sqrt(2x+5))` for real x is -

A

`1//4`

B

`3//2`

C

`2//3`

D

`-2//5`

Text Solution

Verified by Experts

The correct Answer is:
B
`f(x)=sqrt(4-sqrt(2x+5))`
`4-sqrt(2x+5)ge0" "2x+5ge0`
`sqrt(2x+5)le4" "xge-5//2`
`xle(11)/(2)`
`x in[-(5)/(2),(11)/(2)]`
mid point `=(-5//2+11//2)/(2)=(3)/(2)`
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