1.

Let f(x)={(2x+a",",x ge -1),(bx^(2)+3",",x lt -1):} and g(x)={(x+4",",0 le x le 4),(-3x-2",",-2 lt x lt 0):} If the domain of g(f(x))" is " [-1, 4],then

Answer»

`a=1, b GT 5`
`a=2, b gt 7`
`a=2, b gt 10`
`a=0, b in R`

Solution :`X in [-1,2]`
`or-1 le x le 2`
`or -2 le 2x le 4`
`or -2+a le 2x+a le 4+a`
`or -2+a le -2 and 4+a le 4, i.e., a=0`
b can TAKE any VALUE.


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