Asked by Julienne
Find the inverse the following function. Find the domain, range, and asymptotes of each.
f(x)=In(x+1)+1
Please show work
f(x)=In(x+1)+1
Please show work
Answers
Answered by
Reiny
original:
y = ln(x+1) + 1
inverse:
x = ln(y+1) + 1
x-1 = ln(y+1)
solving for y ....
y+1 = e^(x-1)
y = e^(x-1) - 1
or
f^-1 (x) = e^(x-1) - 1
y = ln(x+1) + 1
inverse:
x = ln(y+1) + 1
x-1 = ln(y+1)
solving for y ....
y+1 = e^(x-1)
y = e^(x-1) - 1
or
f^-1 (x) = e^(x-1) - 1