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If g (x) = x ^(2) -1 and gof (x) = x ^(2...

If `g (x) = x ^(2) -1 and gof (x) = x ^(2) + 4x + 3,` then `f ((1)/(2))` is equal `(f(x) gt 0 AA x in R)`

A

`3/2`

B

2

C

`5/2`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
`g [f (n)]=x ^(2) = 4n +3`
`impliesg [f ((1)/(2))]= 1/4 + 4xx 1/2 + 3 implies [f ((1)/(2))^(2) -1 ] = 5+ 1/4`
`implies [f ((1)/(2)) ]^(2) = 25/4implies f ((1)/(2)) = 5/2`
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