# Operations on Functions

• Aug 28th 2010, 10:46 PM
Iyokan
Operations on Functions
I'm sure that these are very simple questions, but I cannot find anything about it in my book or online. Unfortunately, I can only find what is (f + g)(x) equal to (f(x) + g(x)) and things like that.

a) Find g such that (f + g)(x) = f(x) + c
I would assume that this is asking what is g(x) equal to which I think would be c? Is that what it is asking?

No idea what its asking on these:
b) Find f such that (f x g)(x) = g(x) + c
c) Find g given that (fg)(x) = cf(x)
d) Find f given that (f x g)(x) = cg(x)

• Aug 29th 2010, 12:30 AM
Isomorphism
Quote:

Originally Posted by Iyokan
I'm sure that these are very simple questions, but I cannot find anything about it in my book or online. Unfortunately, I can only find what is (f + g)(x) equal to (f(x) + g(x)) and things like that.

a) Find g such that (f + g)(x) = f(x) + c
I would assume that this is asking what is g(x) equal to which I think would be c? Is that what it is asking?

No idea what its asking on these:
b) Find f such that (f x g)(x) = g(x) + c
c) Find g given that (fg)(x) = cf(x)
d) Find f given that (f x g)(x) = cg(x)