Original post by mikeft
I attempted to find the inverse function of y=2lnx-2ln(x-1) but I think my answer is wrong I have uploaded a pic below. Also the domain of the inverse function is y>0 because it’s a exponential function so y can’t be 0?
I guess a couple things,
The domain of an exponential is R. For the inverse function, you could tink about what happens when y=0. But you may want to sketch the two functions and think about the start/end values in each case. You could note that the inverse function could be written as
1 + 1/(e^(y/2)-1)
which is similar to a reciprocal.
•
the ans has a y/2 in which suggests on line 2 to ... Its not wrong to square the ln arguments, but ...
•
on line 3 when you take exponential of the right hand side you get ... Similarly, when you the difference of two logs, you often ...
The domain of an exponential is R. For the inverse function, you could tink about what happens when y=0. But you may want to sketch the two functions and think about the start/end values in each case. You could note that the inverse function could be written as
1 + 1/(e^(y/2)-1)
which is similar to a reciprocal.
(edited 1 month ago)
Original post by mqb2766
I guess a couple things,
The domain of an exponential is R. For the inverse function, you could tink about what happens when y=0. But you may want to sketch the two functions and think about the start/end values in each case. You could note that the inverse function could be written as
1 + 1/(e^(y/2)-1)
which is similar to a reciprocal.
•
the ans has a y/2 in which suggests on line 2 to ... Its not wrong to square the ln arguments, but ...
•
on line 3 when you take exponential of the right hand side you get ... Similarly, when you the difference of two logs, you often ...
The domain of an exponential is R. For the inverse function, you could tink about what happens when y=0. But you may want to sketch the two functions and think about the start/end values in each case. You could note that the inverse function could be written as
1 + 1/(e^(y/2)-1)
which is similar to a reciprocal.
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