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Mathematics 15 Online
OpenStudy (anonymous):

Help please its attached

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?

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).

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 ?

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.

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)] = ?

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 :)

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

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.

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 !:)

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] = ?

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

OpenStudy (anonymous):

#20

ganeshie8 (ganeshie8):

wait

ganeshie8 (ganeshie8):

#20 is (f o g)(6) right ?

OpenStudy (anonymous):

Right

ganeshie8 (ganeshie8):

work it again

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.

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 :)

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 :)

ganeshie8 (ganeshie8):

yw:)

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