Q-1.Let A={1,2,3,4,5,6,7,8} and R={ (x,2x+1) : x ϵ A} be a relation on A. write this relation in roaster form. Find its domain, range and codomain.
Q.2-If f:R→R is defined by f(x)=x^2 - 3x +2 , find f[f(x)]. Also evaluate f[f(5)].

Question

Q-1.Let A={1,2,3,4,5,6,7,8} and R={ (x,2x+1) : x ϵ A} be a relation on A. write this relation  in roaster form. Find its domain, range and codomain. 
Q.2-If f:R→R is defined by f(x)=x^2 - 3x +2 , find f[f(x)]. Also evaluate f[f(5)].

anonymous · Answer

please answer...

anonymous · Answer

?

anonymous · Answer

1. put x=1,2,3,4,........,8
$$R=\left\{ \left( 1,3 \right),\left( 2,5 \right),\left( 3,7 \right),..........?...........,\left( 8,17 \right) \right\}$$

anonymous · Answer

Domain is {1,2,3,.......,8}
Range is {3,5,7,..........,17}

anonymous · Answer

@surjithayer- but then what will be its codomain?

anonymous · Answer

The co domain and the image are the same in this case, I would suppose.

gorv · Answer

co-domain is all possible values of function

gorv · Answer

|dw:1412414163978:dw|

gorv · Answer

2x+1 is restriscted  upto values 17 ..but the function can give the values 18 19 20 ...and so on