y=log(a)x+1和y=log(a)(x+1)的反函數是?

y=log(a)x+1和y=log(a)(x+1)的反函數是?

y=log(a)x+1
值域是R
log(a)x=y-1
x=a^(y-1)
所以反函數y=a^(x-1),x∈R
y=log(a)(x+1)
值域是R
x+1=a^y
x=-1+a^y
所以反函數y=-1+a^x,x∈R