Question

If f(x + 8) = f(x) + f(10), x = R, prove that:(i) f(-6)= -f(10)​

Answer 1

If x = 2,

f(10) = f(2) + f(10), meaning f(2)=0.

If x = -6,

f(2) = f(-6) + f(10)

0 = f(-6) + f(10)

f(-6) = -f(10)