Slide 4
Slide 4 text
ิ̍
f͕୯ࣹͳΒf(x)=√x
f(x) + f(y) + f(1) = f(x + y + 1 + 2f(y) + 2f(xy + x + 2xf(y))
f(x) + f(y) + f(1) = f(x + y + 1 + 2f(xy) + 2f(x) + 2f(y))
ূ໌ɿ
f͕୯ࣹΑΓ
f(xy + x + 2xf(y)) = f(xy) + f(x)
= f(xy + x + 2f(x2y))
∴ f(x2y) = xf(y)
∴ f(x) = f(1) x