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Reply 580
Original post by JordanS94
I've already done well :L I did it in january but I wanted to secure my A overall for Maths :lol: i got 90ums for it in january yes I know I'm stupid for retaking :lol:


I think retaking's a good idea if you think it will improve your overall grade!
Nice score in January though, aiming for the 100 this time? :wink:
Reply 581
Original post by Arva
Can you post the full question? Remember, the domain of the inverse = the range of the original, and vice versa.


Question 4 here - http://www.edexcel.com/migrationdocuments/QP%20GCE%20Curriculum%202000/June%202011%20-%20QP/6665_01_que_20110616.pdf
:smile: I did forget that.. but it still seems to not work? dfsjsdfljk
Original post by Arva
I think retaking's a good idea if you think it will improve your overall grade!
Nice score in January though, aiming for the 100 this time? :wink:


yeah :L It's because I seriously messed up my C4 exam :lol: tbh I happy with 91 or higher :biggrin:
Original post by grazie
I'd say it almost certainly does. If there's only 1 mark for c) you won't get any. As you haven't included the definition for f(x) in you're attachment, I can't explain why.


This is the whole question :smile: thank you!

photo(6).JPG
Reply 584
Original post by suncake
Question 4 here - http://www.edexcel.com/migrationdocuments/QP%20GCE%20Curriculum%202000/June%202011%20-%20QP/6665_01_que_20110616.pdf
:smile: I did forget that.. but it still seems to not work? dfsjsdfljk


It does work, don't worry!
if X is greater than or equal to -1, the range of f(x) can be found out: Y must be less than or equal to 4, since ln(x+2) will always be positive. The range of F(x) = the domain of the inverse.
Reply 585
Original post by Brand New Eyes
All the normal are on the website apart from Jan 2012 which is in some other thread

sci2.co.uk/maths.html has all the Solomon I think


Thanks man this is what I was looking for!

even tried sci.co.uk

+rep
Reply 586

Can anyone tell me how to do this?
Original post by raheem94
l.


If there is a question regarding the drawing of 2cosec2theta with the range 0<theta<360, why doesn't the graph of 2cosec2theta extend from 0<2theta<720 but remains at 0<theta<360
Reply 588
Original post by jjbrown

Can anyone tell me how to do this?


i. logax=logbxlogba\log_a x = \frac {\log_b x}{\log_b a}

ii. logax+logay=loga(xy)[br][br]logaxlogay=loga(xy)\log_a x + \log_a y = \log_a (xy)[br][br]\log_a x - \log_a y = \log_a (\frac{x}{y})
(edited 11 years ago)
Reply 589
http://www.sci2.co.uk/maths/C3/Solomon/C3L.pdf

Q1. c)

I don't understand how we are meant to know F^-1(x) from the information we have already worked out
Original post by Extricated
If there is a question regarding the drawing of 2cosec2theta with the range 0<theta<360, why doesn't the graph of 2cosec2theta extend from 0<2theta<720 but remains at 0<theta<360



f(x)=2cosec(x) f(x) = 2 cosec (x)
g(x)=f(2x)=2cosec(2x) g(x) = f(2x) = 2cosec (2x)

So g(x) is just a horizontal stretch of scale factor 0.5.

If 0<2θ<720 0 < 2 \theta < 720 , then to simplify it divide it by 2, 0<θ<360 0 < \theta < 360

Remember we label the horizontal axis(x-axis) as θ \theta not 2θ 2 \theta .
(edited 11 years ago)
Original post by SamXi
http://www.sci2.co.uk/maths/C3/Solomon/C3L.pdf

Q1. c)

I don't understand how we are meant to know F^-1(x) from the information we have already worked out


ff(x) = x

Therefore f(x) = f^(-1) (x) (The inverse is equal to the original function)
Reply 592
Original post by SamXi
http://www.sci2.co.uk/maths/C3/Solomon/C3L.pdf

Q1. c)

I don't understand how we are meant to know F^-1(x) from the information we have already worked out


If ff(x) returns f(x) to x, then f(x) = f^-1) (x).
Reply 593
Original post by SrijanParmeshwar
ff(x) = x

Therefore f(x) = f^(-1) (x) (The inverse is equal to the original function)


You beat me. :colonhash:
Reply 594
Original post by Arva
i. logax=logbxlogba\log_a x = \frac {\log_b x}{\log_b a}

ii. logax+logay=loga(xy)[br][br]logaxlogay=loga(xy)\log_a x + \log_a y = \log_a (xy)[br][br]\log_a x - \log_a y = \log_a (\frac{x}{y})

Thanks!
Suppose I'd better subscribe to this now the exams closer!
Reply 596
Original post by jjbrown
Thanks!


No problemo.
Original post by Arva
i. logax=logbxlogba\log_a x = \frac {\log_b x}{\log_b a}

ii. logax+logay=loga(xy)[br][br]logaxlogay=loga(xy)\log_a x + \log_a y = \log_a (xy)[br][br]\log_a x - \log_a y = \log_a (\frac{x}{y})


with the base (b) in e?
Reply 598
Original post by Brand New Eyes
with the base (b) in e?


Base a would be e for this question.
Reply 599
Original post by emmaaa88
This is the whole question :smile: thank you!

photo(6).JPG

Wow! Reading the text on that image was tough.

f(x) = e2x - k

So as x gets very large in the negative direction, e2x approaches 0, but never reaches it. It approaches the y=0 asymptote. Which means that the range of f is f(x) > -k. If e2x reached 0 (but it doesn't), the range of f would be f(x) \geq -k

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