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November 02, 2025, 05:57:00 am

Author Topic: 1,000,000 Question Thread :D  (Read 45000 times)  Share 

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TrueTears

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Re: 1,000,000 Question Thread :D
« Reply #90 on: December 06, 2009, 05:18:33 pm »
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Let

INVERSE:







Then use the domain, range etc to pick which side you want.
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kenhung123

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Re: 1,000,000 Question Thread :D
« Reply #91 on: December 06, 2009, 05:20:35 pm »
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where did you get the +1-1?

TrueTears

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Re: 1,000,000 Question Thread :D
« Reply #92 on: December 06, 2009, 05:23:21 pm »
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After interchanging right?

Now

[ yeah?]

The rest follows.
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kenhung123

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Re: 1,000,000 Question Thread :D
« Reply #93 on: December 06, 2009, 05:34:51 pm »
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Let

INVERSE:







Then use the domain, range etc to pick which side you want.
Thanks I understand that part. The answer only gives the positive answer though. Why is that? Considering the domain of g is [-1,infinity)?

TrueTears

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Re: 1,000,000 Question Thread :D
« Reply #94 on: December 06, 2009, 05:50:57 pm »
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Now only the positive half satisfies this.
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kenhung123

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Re: 1,000,000 Question Thread :D
« Reply #95 on: December 06, 2009, 07:03:10 pm »
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How do I prove that doesn't exist when we inverse ?
« Last Edit: December 06, 2009, 07:11:01 pm by kenhung123 »

TrueTears

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Re: 1,000,000 Question Thread :D
« Reply #96 on: December 06, 2009, 07:06:45 pm »
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How do I prove that doesn't exist when we inverse ?









That's all I can deduce from the information given, since I don't know the domain of
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kenhung123

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Re: 1,000,000 Question Thread :D
« Reply #97 on: December 06, 2009, 07:11:23 pm »
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Sorry I missed it. I added it back. Thanks for prompt reply.

TrueTears

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Re: 1,000,000 Question Thread :D
« Reply #98 on: December 06, 2009, 07:21:51 pm »
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How do I prove that doesn't exist when we inverse ?








Continuing on.

If we take the negative half:





Thus the negative half is what we want.

Try for yourself the same process as I just done to see why the positive is false.
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kenhung123

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Re: 1,000,000 Question Thread :D
« Reply #99 on: December 06, 2009, 07:26:34 pm »
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Like in the exam, we want to cancel the negative equation, how do we show working? Or we can just pluck it out without any working?

TrueTears

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Re: 1,000,000 Question Thread :D
« Reply #100 on: December 06, 2009, 07:27:19 pm »
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Like in the exam, we want to cancel the negative equation, how do we show working? Or we can just pluck it out without any working?
You'd show why you would disregard the positive half just to be sure, you'd write down the little exercise I set you just then.
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NE2000

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Re: 1,000,000 Question Thread :D
« Reply #101 on: December 06, 2009, 07:32:56 pm »
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Always explain what you're doing, if you can't explain using mathspeak then use normal words but you should always explain
2009: English, Specialist Math, Mathematical Methods, Chemistry, Physics

kenhung123

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Re: 1,000,000 Question Thread :D
« Reply #102 on: December 06, 2009, 07:38:10 pm »
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How do we sketch the graph of ? How to determine shape and start point etc

TrueTears

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Re: 1,000,000 Question Thread :D
« Reply #103 on: December 06, 2009, 07:39:23 pm »
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Best way is to memorise the basic shapes of all the different families of graphs.

Or you can test some values and see what happens.

Eg, pick 1, 4, 9, 16 etc.
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kenhung123

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Re: 1,000,000 Question Thread :D
« Reply #104 on: December 06, 2009, 09:14:45 pm »
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Thanks so much!