af(x)+bf(1/x)=cx(a,b,为R,ab不为零,a2不等于b2求f(x)
已知:af(x)+bf(1/x)=cx (1)
用1/x代x,得:af(1/x)+bf(x)=c/x (2)
(1)*a-(2)*b得:
f(x)=[acx-(bc/x)]/(a^2-b^2)
af(x)+bf(1/x)=cx(a,b,为R,ab不为零,a2不等于b2求f(x)
已知:af(x)+bf(1/x)=cx (1)
用1/x代x,得:af(1/x)+bf(x)=c/x (2)
(1)*a-(2)*b得:
f(x)=[acx-(bc/x)]/(a^2-b^2)