In linear algebra, what does the symbol +' mean?

Question

For defining a vector space, the book gives an example like this:

"Consider the addition operation f +' g defined by
(f +' g)(x) = f(x) + 3g(x) and the usual scalar multiplication."

What does +' mean?

Answer 1

They explain what it means. +' does what they say it does.

the usual scalar multiplication refers to 3g(x)

Answer 2

What it means is this:

You can say that h(x) = f(x)+3g(x)

In this case, (f+'g)(x) is really the same thing as h(x). It is a very stupid way of defining a composite function. Academics do a lot of stupid things as you will notice throughout your studies. Rather than stating things clearly, they prefer to confuse matters at hand.

Perhaps what you need to understand (if you don't already) is that the function h operates on x the same way as f+'g operates on x. That's all there is to it!

Answer 3

It normally doesn't mean anything.

However, your book *defines* it by the formula

(f +' g)(x) = f(x) + 3g(x)

Answer 4

here + is an operation(any operation) but remember its not simple addition.