Mathematics
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OpenStudy (anonymous):
Help please its attached
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OpenStudy (anonymous):
OpenStudy (anonymous):
#11 and 12 :)
OpenStudy (agent0smith):
(f o g)(1) is the same as f[g(1)], which means you first need to find g(1).
OpenStudy (anonymous):
I dont really know how to find the function of the two graphs provided
OpenStudy (agent0smith):
g(1)... what is the value of g, when x = 1?
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OpenStudy (anonymous):
1?
OpenStudy (agent0smith):
No, when x = 1, what is the y-value of g?
OpenStudy (anonymous):
3?
OpenStudy (anonymous):
sorry
OpenStudy (agent0smith):
Yes, g(1) = 3
so f[ g(1) ] = f(3)
Now try finding f(3).
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OpenStudy (anonymous):
2?
OpenStudy (agent0smith):
Yep.
OpenStudy (anonymous):
okay so what do i do now ?
OpenStudy (agent0smith):
The next question, since you found f[g(1)] = f(3) = 2
OpenStudy (anonymous):
So the answer to # 11 is ?
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OpenStudy (anonymous):
So the answer to # 11 is 6 ?
OpenStudy (agent0smith):
How did you get 6?
OpenStudy (anonymous):
I found the (f o g)
OpenStudy (anonymous):
The question asked to find (f o g)(1) and (g o f)(3)
OpenStudy (agent0smith):
We already worked out (f o g)(1) and it was not 6.
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OpenStudy (anonymous):
the (f o g)(1) is 2?
OpenStudy (agent0smith):
Yes
OpenStudy (anonymous):
Okay . So for # 12
OpenStudy (agent0smith):
Use the same method we just used.
OpenStudy (agent0smith):
(g o f)(3) = g[f(3)] = ?
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OpenStudy (anonymous):
1?
OpenStudy (agent0smith):
Follow the steps i took, don't just jump to an answer (which isn't right)
OpenStudy (anonymous):
im sorry im really confused . In school learned only (f o g)(x) . I was never taught (f o g)(#)
OpenStudy (agent0smith):
Try re-reading the steps we took earlier.
(g o f)(3) = g[f(3)] = ?
Find f(3) first.
OpenStudy (anonymous):
Okay :)
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OpenStudy (anonymous):
2?
OpenStudy (agent0smith):
Yes, now finish.
OpenStudy (agent0smith):
(g o f)(3) = g[f(3)] = g(2) =
OpenStudy (anonymous):
2?
OpenStudy (agent0smith):
Yes
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OpenStudy (anonymous):
so the answer is 2?
OpenStudy (agent0smith):
(g o f)(3) = g[f(3)] = g(2) = 2
OpenStudy (anonymous):
Thank you ! Can you help me with one more ?
OpenStudy (anonymous):
OpenStudy (agent0smith):
Try it the same way. A table isn't much different than a graph.
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OpenStudy (anonymous):
For 3 19 i got 6 , 20 i got 2 and 21 i got 5
OpenStudy (agent0smith):
Show the work the way we've done it this whole question. First wasn't correct.
OpenStudy (anonymous):
(g o f)(3) = g[f(6)] = g(5) = 5
OpenStudy (anonymous):
are the other two correct?
OpenStudy (anonymous):
@ganeshie8 Can you check my last answer please? Thank you !:)
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ganeshie8 (ganeshie8):
all wrong
ganeshie8 (ganeshie8):
lets try 019 again :
(g o f)(3) = g[f(3)] = ?
ganeshie8 (ganeshie8):
look at the given table, f(3) = ?
OpenStudy (anonymous):
5?
ganeshie8 (ganeshie8):
yes so
(g o f)(3) = g[f(3)] = g[5] = ?
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ganeshie8 (ganeshie8):
look at the table again, g(5) = ?
OpenStudy (anonymous):
1
ganeshie8 (ganeshie8):
thats it!
(g o f)(3) = g[f(3)] = g[5] = 1
OpenStudy (anonymous):
(f o g)(3) = f[g(6)] = f[3] = 5
OpenStudy (anonymous):
^^^ for the second one
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OpenStudy (anonymous):
#20
ganeshie8 (ganeshie8):
wait
ganeshie8 (ganeshie8):
#20 is (f o g)(6) right ?
OpenStudy (anonymous):
Right
ganeshie8 (ganeshie8):
work it again
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OpenStudy (anonymous):
In which part did i make a mistake ?
ganeshie8 (ganeshie8):
in the start, you started wid a wrong expression
ganeshie8 (ganeshie8):
(f o g)(3) = f[g(6)] = f[3] = 5
^^^^^^^
OpenStudy (anonymous):
(g o f)(6) = g[f(6)] = f[2] = 6
ganeshie8 (ganeshie8):
Nope.
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ganeshie8 (ganeshie8):
again the starting expression is wrong
ganeshie8 (ganeshie8):
you need to work out (f o g)(6) right ?
OpenStudy (anonymous):
(f o g)(6) = f[g(6)] = f[3] = 5
ganeshie8 (ganeshie8):
looks good !
OpenStudy (anonymous):
Ill try the last one correct me please :)
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ganeshie8 (ganeshie8):
okie good luck
OpenStudy (anonymous):
(f o f)() = f[f(1)] = f[5] = 4?
OpenStudy (anonymous):
(f o f)(1) = f[f(1)] = f[5] = 4?
ganeshie8 (ganeshie8):
Perfect!
OpenStudy (anonymous):
Yay !! Thank you so much @ganeshie8 and @agent0smith i greatly appreciate your help :)
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ganeshie8 (ganeshie8):
yw:)