y=1+In(x+2)y-1=ln(x+2)x+2=e^(y+1)x=e^(y+1)-2;反函数为:y=e^(x+1)-2
因为x>-2,y∈ry=1+in(x+2)则ln(x+2)=y-1e^(y-1)=x+2x=e^(y-1)-2所以反函数就是把x跟y换一下,范围也换一下即y=e^(x-1)-2(x∈r)
y=e^(x-1)-2