Question

Sa se arate ca functia f:R->R , f(x)= |4x-8|-2*|4-2x| este constanta
Multumesc !

Answer 1

$f(x)=|4x-8|-2|4-2x| \\ f(x)=4|x-2|-4|2-x| \\ f(x)=4|x-2|-4|(-1)*(x-2)| \\ f(x)=4|x-2|-4|x-2|=0=constant$


Formule folosite:
$|a|=|-a|$