14题,求下列函数的反函数,写下具体过程

2025-05-21 17:51:12
推荐回答(1个)
回答1:

1.
y+xy=1-x,
(1+y)x=1-y,
x=(1-y)/(1+y)
y=(1-x)/(1+x),x≠-1.
2.
-2≤y≤2.
y/2=sin3x,3x∈[-π/2,π/2],
arc sin(y/2)=3x,
x=1/3•arc sin(y/2)
y=1/3•arc sin(x/2),-2≤x≤2.
3.
y-1=ln(x+2),
x+2=e^(y-1),
x=e^(y-1)-2,
y=e^(x-1)-2,x∈R.
4.
2^x•y+y=2^x,
2^x=y/(1-y)>0,0x=log2[y/(1-y)],
y=log2[x/(1-x)],0