Question

Sea f(x)=2ax+b. Se sabe además que f(-2)= 4 y f(2)= 8. Se pide determimar el valor de 8(a+b)

Answer 1

$Hola! \\ \\ 4=-4a+b~~=\ \textgreater \ \boxed{b=4+4a}~~---\ \textgreater \ (I) \\ \\ 8=4a+b~~=\ \textgreater \ \boxed{b=8-4a}~---\ \textgreater \ (II) \\ \\ (I)=(II) \\ \\ 4+4a=8-4a \\ \\8a=4~~=\ \textgreater \ \boxed{a=1/2} \\ \\ reemplazando~''a''~en~(II ) \\ \\ b=8-4(1/2) \\ \\ \boxed{b=6}$


$=\ \textgreater \ 8(a+b) \\ \\ =\ \textgreater \ 8(1/2+6) \\ \\ =\ \textgreater \ \boxed{\boxed{52}}$