Functions problem

I have the following problem:
Attachment 22243

My logic is that since I am given one of the values which was divided by, if I multiply by that value I should get the other value.

I tried multiplying (f/g)(x) with f(x) and this is what I did:
Attachment 22244
I got (x+8) after simplifying the above ^. However, (x+8) does not equal g(x)..

Any help would be greatly appreciated with this problem. Thank you very much in advance (:

Quote:

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Originally Posted by StaplerPro

I have the following problem:
Attachment 22243

My logic is that since I am given one of the values which was divided by, if I multiply by that value I should get the other value.

I tried multiplying (f/g)(x) with f(x) and this is what I did:
Attachment 22244
I got (x+8) after simplifying the above ^. However, (x+8) does not equal g(x)..

Any help would be greatly appreciated with this problem. Thank you very much in advance (:

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Thank you for your reply, Plato.

I'm sorry, I don't fully understand it ):. Could you please explain what "left" means? And how did you get your answer? What does it mean? Sorry for asking so many questions here..

Edit: I understand a bit more now, let me look at what you wrote and reply, ignore what I said up there, thank you (:

Alright, I used your value and multiplyed it by 1/x and got x^-1 which is also incorrect.. I did my work on paper and can't make sense of what I did @__@. Could you tell me how you got the value that you did, and what my next steps should be please? Thank you very much.

Look that means that

What is