Math Help - Various questions

Hello,

i am new to the forum; i am glad i found what i have been looking for.
I am just OK with maths; i have been struggling with these few pre-calculus question (some are logarithm); i have attached the questions.. I would really appreciate if anyone of you (maths expert/guru) can help me solve these. Thanks a bunch!!

Please check the attached file.

Hey Dave, It is our policy that we do not respond to threads of which the person who posted it hasn't shown any sort of effort to solve the problems his or herself. I think that's why no one has responded to your post.

If you have some attempts at these problems let us know and we'll try to help.

Originally Posted by VonNemo19

Hey Dave, It is our policy that we do not respond to threads of which the person who posted it hasn't shown any sort of effort to solve the problems his or herself. I think that's why no one has responded to your post.

If you have some attempts at these problems let us know and we'll try to help.

Let me qualify this.

Even if no effort is shown, a response can still be given. There is no official policy against this. However, most people like to see some effort by the OP ....

So ..... it's likely that if no effort is shown (and in this case that includes the fact that the questions have been attached rather than typed), people will probably spend most of their time replying to posts where either some effort has been made or the post contains some interesting and therefore attractive feature.

Note that since replies are made by volunteers (no-one, not even Helpers or Moderators, is paid), no-one is forced to answer a question if they don't feel like it ....

The text in the graphic is as follows:

1) Sketch an accurate graph of G(X) = -(1/3) log_4(2 - X) - 2.

a) What is the domain of F(X)?

b) What is the equation of the vertical asymptote?

c) Where is the function increasing or decreasing?

2) Let F(x) = log_4(X). Explain how the graph of G(X) = -(1/3) log_4(2 - X) - 2 can be obtained from the graph of F(X) through a series of transformations.

3) A $3000 investment earns interest at the annual rate of 8.5% compounded monthly. Find the total amount of the investment after five years have passed (assuming no additional deposits or withdrawals) and find the amount of interest earned.

Note: I suspect that the "F(X)" in (a) is a typo for "G(X)".

Do you need to learn about logs, or just about graphing logs? Do you need to learn about function translations and transformations? Are you familiar with the compound-interest formula, but are stuck at some point?

Please be complete, including showing everything you have tried so far. Thank you!

Originally Posted by stapel

The text in the graphic is as follows:


Note: I suspect that the "F(X)" in (a) is a typo for "G(X)".

Do you need to learn about logs, or just about graphing logs? Do you need to learn about function translations and transformations? Are you familiar with the compound-interest formula, but are stuck at some point?

Please be complete, including showing everything you have tried so far. Thank you!

well stapel, as i said earlier.. i have like 30 questions to solve and out of that i am stuck with these few. I know about transformation and logs and am able to pull off the basic ones . see if you can help me out with these. Although i am still working and trying, i will appreciate any word! thanks

Originally Posted by dave14

I know about transformation and logs...

Great! Then you've been able to make some progress on these exercises. Please post that work, so we can "see" where you are needing a little extra help. Thank you!

P.S. For exercise (3), just plug the given numbers into the "compound interest" formula you've memorized, and simplify to find the ending amount. Then subtract the initial amount to find the amount of interest.