- To find the inverse of a function you switch the X and Y and there you go .
- I also learned that you don't have to graph the inverse of a function to see if the inverse is a function or not. You can determine if a function is on-to-one if you try the horizontal line test and if it has more that one point going through one of the lines then it is not one-to-one
- Symmetrical functions have a slope that is consistent .
- The inverse of (f) is (f^-1)
- The base of a log is usually always(oxymoron) 10 unless you have a different base there
What I Don't Understand
- When you have to use log or Ln. Like the equation (1.045)^t=2 and you have to solve for t, i don't get if i would have to use log or Ln for this equation.
- I don't understand how to solve an equation when there is two X's.
- I also don't understand when you have to find the inverse of an equation that is a fraction .
- I don't understand how to graph logs
- I don't get how to solve f(g(x))=x but g(x) is not the inverse of x !!!! Like what does that even mean !!!! that problem confused the hell out of me :T
And it helps that I sit next to Ivan S. because he helps me out a lot when i don't get it. Thanks Ivan =) ....
for (1.045)^t=2, i'm pretty sure it doesn't matter whether you use log or ln, so long as you use it for both sides of the equation.
ReplyDelete? you can't solve an equation when there are 2 x's? that's not very specific, considering that's too general to give help. if you have a specific problem, then i could help, but your statement is too general.
when there is a fraction, switch the x and y and solve for the new y. again, very general, i can only really help with specific problems.
for graphing logs, i made a post about it on my blog if you need help.
you're not really solving for anything, it's more of a reasoning question. it's asking given f(g(x))=x, is g(x) the inverse of f(x)? as for the answer, the book gives a very strange answer that i can't really explain, so Ms. Hwang would need to give you the explanation. in my opinion, it asks the wrong question, because the answer is for the question "Is f(x) one-to-one?", which is not the original question being asked. however, i would ask Ms. Hwang for further clarification.
i hope that answers some your questions or at least clarifies them.
for yourew first question i think you would have to use log not ln.
ReplyDeletenatural log (ln) is only used for 'e'
For the first one, I agree with Ruben in that you have to use log. There's no hint for you to use natural log in this problem.
ReplyDeleteAs for graphing logs, it seems many are having trouble with that.
You need to be specific if you had 2 X's in an equation. But the first thing you want to try and do is put those X's together through a sort of mathematical mean.
From what i understood, the best time to use ln is when there is an e to cancel it and get rid of it.
ReplyDelete