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Mathematics 15 Online
OpenStudy (anonymous):

attach file , help Please!

OpenStudy (anonymous):

OpenStudy (anonymous):

fog: {(2.-7)} gof: {(1,0),(2,10)} ?

OpenStudy (phi):

I'm looking at the problems. which one are you doing?

OpenStudy (anonymous):

start number 4 now . i will send the note for lession

OpenStudy (anonymous):

OpenStudy (anonymous):

OpenStudy (phi):

Yes. You did it correctly.

OpenStudy (anonymous):

let start number 22

OpenStudy (anonymous):

OpenStudy (anonymous):

fog: I don't know gof: not axit ?

OpenStudy (phi):

FIrst, the domain of g is {1 -3 2} you have {1 3 2}.

OpenStudy (anonymous):

yes fog:{(1.-3),(2,1)} ?

OpenStudy (phi):

Here's how I do it. f o g input x 1 -3 2 g(x) 0 1 1 f 0 1 1 f(g(x)) -3 1 1 so matching the first row with the last (1,-3), (-3,1), (2,1)

OpenStudy (phi):

g o f x 1 0 f(x) 1 -3 g 1 -3 g(f(x)) 0 1 so (1,0), (0,1)

OpenStudy (anonymous):

ok,gof I was wrong fog?

OpenStudy (phi):

See my post up above. (1,-3), (-3,1), (2,1)

OpenStudy (anonymous):

I don't get fog f has 2 pair (1.1),(0.-3),2 domain 1, 0 how you get 3 domain 0 1 1 ?

OpenStudy (anonymous):

phi I get it now,let check my next number

OpenStudy (phi):

Question (22) gives g as { (1,0), (-3,1), (2,1) }

OpenStudy (phi):

What's the next number?

OpenStudy (anonymous):

24

OpenStudy (phi):

f o g x 0 8 3 -1 g(x) 4 6 6 8 f 4 6 6 f(g(x)) 0 3 3 so from the top and bottom rows we get { (0,0), (8,3), (3,3)}

OpenStudy (anonymous):

gof {(3,8),(4,8),(6,4),(7,4)}?

OpenStudy (phi):

No. Can you try to do it the way I am doing it? first write down the domain of f underneath write f's range underneath write g domain where it matches f's range underneath write g range

OpenStudy (phi):

The last line is just the 2nd number in g's definition. g is {(0,4), (8,6), (3,6), (-1,8)} so if you if you see a 0 in the third line, see if there is a pair that starts with 0. If there is, put the 2nd number (here it is 4) beneath the 0. Try it.

OpenStudy (anonymous):

gof x 3 4 6 7 f(x) 8 0 3 -1 g o 8 3 -1 g(f(x)) 4 6 6 8

OpenStudy (anonymous):

gof: {(3,4),(4,6),(6,6),(7,8)} ?

OpenStudy (phi):

Almost. Your third row must match the 2nd row (if you can find a match).

OpenStudy (anonymous):

gof x 3 4 6 7 f(x) 8 0 3 -1 g 8 0 3 -1 g(f(x)) 4 6 6 8

OpenStudy (phi):

Here's what you should do. Take g= {(0,4), (8,6), (3,6), (-1,8)} write it as 0 8 3 -1 4 6 6 8 Call this the "g" table The top 0 goes with the bottom 4, the 8 goes with the 6, and so on. no look at the 2nd line in your table. it starts with 8. look for an 8 in the "g" table. If you find an 8, copy both the 8 and the number below it so the 8 goes in the third row, and the 6 goes in the 4th row.

OpenStudy (anonymous):

gof x 3 4 6 7 f(x) 8 0 3 -1 g 0 8 3 -1 g(f(x)) 4 6 6 8 then odre pair is gof {(3,4),(4,6),(6,6),(7,8)} ?

OpenStudy (phi):

f is {(3,8), (4,0), (6,3), (7,-1)} Rewrite so the 1st numbers form the first row, and the 2nd number form the 2nd row. 3 4 6 7 8 0 3 -1 now look at the "g" table: 0 8 3 -1 4 6 6 8 match the 8's 3 4 6 7 8 0 3 -1 8 6 now look for a 0 in the 1st row of the g table, and find 0 4 3 4 6 7 8 0 3 -1 8 0 6 4 Can you finish?

OpenStudy (anonymous):

sorry I don't get it

OpenStudy (phi):

3 4 6 7 8 0 3 -1 8 0 3 -1 6 4 6 8 so g o f is (3,6), (4,4), (6,6), (7,8)

OpenStudy (phi):

Can you puzzle on it for a day? Maybe it will become clearer after some time. I'll be happy to help tomorrow, but I have to go now.

OpenStudy (anonymous):

3 4 6 7 8 0 3 -1 8 0 3 -1 6 4 6 8 third row you get from f or g ? can you help me tomorror 26) last one,ty

OpenStudy (anonymous):

i will work on 26) ,can you check my answer? later

OpenStudy (phi):

tomorrow. bye.

OpenStudy (phi):

Does this help?

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