Let `f : R to R : f (x) = x^(2) + 2 "and " g : R to R : g (x) = (x)/(x-1) , x ne 1 .` Find f o g and g o f and hence find (f o g) (2) and ( g o f) (-3

Correct Answer - ` k =- 9`

Correct Answer - `f={(0,3),(1,5),(2,7)},"dom "(f)={0,1,2},"range "(f)={3,5,7}`

Correct Answer - `f={(0,3),(1,5),(2,7)},"dom "(f)={0,1,2},"range "(f)={2,3,5,7}` range `(f)={(3,5,9,13)}`

Correct Answer - (i) ( g o f) ={(1,4),(2,3),(3,2) ,(4,1} (ii) (f o g) ={(1,3),(2,4),(3,1),(4,2)} (iii) (f o f) = {(1,2) ,(2,4) ,(3,3) ,(4,1)}

Correct Answer - `4, 0, 4(cos 0 + i sin 0)`

Correct Answer - `2, pi, 2(cos pi + i sin pi)`

Correct Answer - `1,(-pi)/(2),{cos((-pi)/(2)+i sin((-pi)/(2))}`

Correct Answer - `2,(pi)/(2),2("cos"(pi)/(2)+"i sin"(pi)/(2))`

Correct Answer - 12 cm, 96 `cm^(2)`

Correct Answer - x=21 mode =45