1.

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

Answer»

`3/2`
`2`
`5/2`
None of these

SOLUTION :`G[f(N)]=x^2+4n+3`
`RARR g[f(1/2)]=1/4+4xx1/2+3 rArr [f(1/2)^2 -1]=5+1/4`
`rArr [f(1/2)]^2 =25/4 rArr f(1/2)=5/2`


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