1. Subspace

Hi people,

$F_1$={ f $\in$ F( $\mathbb{R};\mathbb{R}$)/ f(0)=f(1)}
$F_2$={ f $\in$ F( $\mathbb{R};\mathbb{R}$)/ f(2)=0}

I have to check if $F_1$ anf $F_2$ are linear subspaces of F( $\mathbb{R};\mathbb{R}$) or not????

2. Originally Posted by bhitroofen01
Hi people,

$F_1$={ f $\in$ F( $\mathbb{R};\mathbb{R}$)/ f(0)=f(1)}
$F_2$={ f $\in$ F( $\mathbb{R};\mathbb{R}$)/ f(2)=0}

I have to check if $F_1$ anf $F_2$ are linear subspaces of F( $\mathbb{R};\mathbb{R}$) or not????