Determine the domain of f(x)= ln(x 2 -1) To recieve full kharma points please ex

Question

Determine the domain of f(x)= ln(x2-1) To recieve full kharma points please explain any rules forfinding the domain of logs, natural log functions thanks for thehelp Determine the domain of f(x)= ln(x2-1) To recieve full kharma points please explain any rules forfinding the domain of logs, natural log functions thanks for thehelp

Explanation / Answer

The domain of a logarithmic function must always be greater than0. So whatever you are taking the log or ln of, in thiscase, x2 -1 > 0 must give you a number greater than0. So, in this case, x2 > 1, whichmeans x > 1 or x < -1. Anything bigger than 1, squaredminus the 1 will give you a number bigger than 0 to take the logof. The same hols true for x < -1. Logs and natural logs have the same rules for finding thedomain. Anything you take the log or ln of must be greaterthan 0. For a picture plug in y=lnx in your graphingcalculator and look at it. You will see all the x values aregreater than 0.

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