AboutScotto Expertise Any kind of mathematics (calculus, analysis, game theory, linear approximation, finite differences, linear regression, linear programming, numerical analysis, probability, statistics, etc.).
I also have answered some questions in
Physics (mass, momentum, falling bodies),
Chemistry (charge, reactions, symbols, molecules), and
Biology.
Experience Experience in the area: I have tutored students in all areas of mathematics for over 20 years.
Education/Credentials: BSand MS in Mathematics from Oregon State University, where I completed sophomore course in Physics and Chemistry. I received both degrees with high honors.
Awards and Honors: I have passed Actuarial tests 100, 110, and 135.
Publications Maybe not a publication, but I have respond to well oveer 3000 questions on the PC.
That's around 2,000 in basic math and 1,000 in advanced math.
Education/Credentials I aquired well over 40 hours of upper division courses. This was well over the number that were required.
I graduated with honors in both my BS and MS degree from Oregon State University.
I was allowed to jump into a few junior level courses my sophomore year.
Awards and Honors I have been nominated as the expert of the month several times.
All of my scores right now are at least a 9.8 average (out of 10).
Past/Present Clients My past clients have been students at OSU, students at the college in South Seattle,
referals from a company, friends and aquantenances, people from my church, and people like you.
Question Hi, my question is how do I find the inverse of
f(x)=e^x/(1+9e^x)?
Answer Try taking the ln() of both sides.
The left side in the ln(f(x)).
The right side is the ln(e^x/(1+9e^x)),
which can be converted to ln(e^x) - ln(1+9e^x).
The ln() is the inverse of e^x, so the first term is x.
The second term, -ln(1+9e^x), could be approximated by -ln(9e^x), which reduces to -(ln(9)+ln(e^x)) = -(ln(9)+x).
I only see how an approximation to the inverse could be obtained by using the one I just gave you and putting them into the equation and solving for x.
If you find a way to do it, I'd be interested in hearing what it was.
