00:01
So let's check if these are linear.
00:03
Well, what do we do to check if it's linear? we just look at l of, well, f plus g first.
00:12
Well, so for the first one, we need to check that this is equal to l of f plus l of g.
00:18
And we need to check that l of c, f is equal to c l of f.
00:35
And actually, this sort of comes from this one as well.
00:39
So you pretty much only have to check this.
00:41
So let's check that.
00:46
So for the first one, l of f is equal to f of 0.
00:52
Then note that l of f plus g is equal to, well, f of 0 plus g of 0, because that's what the continuous function does...