Hi all! i have a lot of questions

you probably can't spend your time answering all but i hope you can answer some of them .___.

1.

http://i1088.photobucket.com/albums/...4/IMG_2141.jpg (was able to do everything except finding of the range of the composite function. usually range is found by double arrow method, which usually requires drawing of the graph to see the range, however, in this qn it's impossible to find the equation of g^-1 , so how to do? ) .

2.

http://i1088.photobucket.com/albums/...4/IMG_2150.jpg (only unsure about second part, first part answer not needed - i was thinking if u wanna make use fo the first part, u needa sub in '2r' in the summation of (r+1)2^r right? -->>> which will become (2r+1)2^2r. however they want the summation of (2r+1)2^r, so my problem lies in the 2^2r part. how do i make 2^2r become 2^r?).

3.

http://i1088.photobucket.com/albums/...4/IMG_2159.jpg ( only dunno how to do the last part. i was thinking, sub in 'n-1' in the first summation to get the summation that the question asked for. problem lies in the 'n^2' in the denominator. it should become (n-1)^2, so how to make it become n^2?)

4.

http://i1088.photobucket.com/albums/...4/IMG_2160.jpg (problem lies in the very last part, "find an expression for f^-1(x) corresponding to each of the domains for f." ANS. TO THIS QN for previous parts (shown as qn3 on the answer book):

http://i1088.photobucket.com/albums/...4/IMG_2161.jpg ) .

5.

http://i1088.photobucket.com/albums/...4/IMG_2173.jpg http://i1088.photobucket.com/albums/...4/IMG_2175.jpg
(first link consists of question and conjecture. conjecture is (n+1)! . but this is abit weird because there is an addition of '1' to the summation. second link shows the induction part, where S(k+1)=Sk+T(k+1). my question is, does T(k+1) = (k+1)(k+1)! or (k+1)(k+1)! +1 ? according to the answer it is the former, however i think it should be the latter).

6.

http://i1088.photobucket.com/albums/...4/IMG_2176.jpg
doubtful about this formula cuz it wasn't taught to me. is the book correct? they also said use this to find the inverse of a composite function, but why would this be required?

7.

http://i1088.photobucket.com/albums/...4/IMG_2177.jpg
referring to 'practice 3,' they say fourth term is equals to 16/25 of the 2nd term. so is it T2=(16/25)T4 or T4=(16/25)T2? the book says it is the latter, however i think it is the former.

sorry for so many questions! please help for anything if u can, thank u so much!

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