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Mathematics 6 Online
OpenStudy (anonymous):

For the function f(x) = x2 ­ -12, find (f o f­-1)(4) A. 0 B. 6 C. 4 D. 10

OpenStudy (anonymous):

I need help bad please

OpenStudy (tennis5518):

Do you have any ideas or clues?

OpenStudy (anonymous):

not any

OpenStudy (anonymous):

no I'm sorry I have 20 questions to finish by tomorrow morning and I didn't know quite a few of them I don't understand and ive tried watching youtube videos on how to do some and even tried google and nothing has helped

OpenStudy (anonymous):

?

OpenStudy (tennis5518):

Ok I got it!

OpenStudy (anonymous):

okay and how did you find out what it was?

OpenStudy (kittiwitti1):

Wait... is the problem asking for (f ○ f(-1))(4)? Or this?\[(f○f^{-1})(4)\]

OpenStudy (anonymous):

the second one

OpenStudy (kittiwitti1):

Okay, well. Are you aware of what the little symbol ○ means?

OpenStudy (anonymous):

no

OpenStudy (kittiwitti1):

Alright then, maybe we should start from there... That symbol means "of". So f ○ g means "f of g", or f(g).\[(f○g)(x)\rightarrow(\text{"f of g"})(x)\rightarrow f(g(x))\]With me so far?

OpenStudy (anonymous):

this is so confusing

OpenStudy (kittiwitti1):

Is that a complaint or feedback on my explanation? Either works xD

OpenStudy (anonymous):

lol you just seem way smarter then ill ever be I'm literately just pass school by a inch

OpenStudy (kittiwitti1):

Naw. I suck at school. This is just old stuff that I love doing xD

OpenStudy (anonymous):

ive never been the bright one in learning

OpenStudy (kittiwitti1):

It's okay. Everyone's got their talents ☺

OpenStudy (anonymous):

true

OpenStudy (kittiwitti1):

So are you understanding my explanation so far? Recap|dw:1458016891379:dw|

OpenStudy (anonymous):

yes

OpenStudy (kittiwitti1):

Okay. Sorry I got tag-pulled into the biology forum lol

OpenStudy (anonymous):

its ok lol

OpenStudy (kittiwitti1):

Okay. Well, the problem here is\[(f○f^{-1})(4)\]so that leads to\[(f(f^{-1}(4))\]

OpenStudy (anonymous):

ok

OpenStudy (kittiwitti1):

f^-1(x) is also 1/f(x) btw. So\[f(f^{-1}(4))\rightarrow f\left(\frac{1}{f(4)}\right)\]Do you see something that can cancel out there?

OpenStudy (anonymous):

the 4

OpenStudy (kittiwitti1):

No, sorry

OpenStudy (anonymous):

this is way to hard I'm just going to guess lol I'm tired and ive been at this all day but thank u anyways :)

OpenStudy (kittiwitti1):

|dw:1458017700693:dw|It's okay. Everyone learns at their own pace. ☺

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