Question

$f(x + 4) = f(x) + f(4)$
proove f(8)+2f(-4) =0​

Answer 1

Answer:

f(8)+2f(-4)=0

Step-by-step explanation:

f(x)+f(4) = f×f(x×4)

f(8)+2f(-4) =f×8+2f×-4 = 8f+(-8f)=0

Answer 2

${\red {{\bold{ \huge \dag }}\bold {\huge{{\mathcal {\underline{Answer}}}} \dag}}}$

$\star \: \underline \blue{given} \blue{ :}$

$f(x + 4) = f(x) + f(4)$

$\star \: \underline \blue{prove} \blue{ :}$

$f(8) + 2f( - 4) = 0$

$\star \: \underline \blue{solution} \blue{ :}$

$f(8) + 2f( - 4)$

$\longrightarrow \: f(4 + 4) + 2f({0 + ( - 4)})$

$\longrightarrow \: 2f(4) - 2f(4)$

$\longrightarrow \: 0 \: \: \boxed {\mathfrak{PROVED}}$