已知函數f(x)=(3x+2)/(x+a) (a不等于2/3)求f(x)的反函數f的-1次方(x).
熱心網友
y=f(x)=(3x+2)/(x+a)xy+ay=3x+2(y-3)x=-2-ayf(y)=x=2+ay/3-y即f(y)=2+ay/3-y答案為3-y/2+ay
已知函數f(x)=(3x+2)/(x+a) (a不等于2/3)求f(x)的反函數f的-1次方(x).
y=f(x)=(3x+2)/(x+a)xy+ay=3x+2(y-3)x=-2-ayf(y)=x=2+ay/3-y即f(y)=2+ay/3-y答案為3-y/2+ay