The domain of f and g is $X := \subseteq \{a,b\} \mathbb{R}$
$f(a) = 1$
$f(b) = 3$
$g(a) = 2$
$g(b) = -1$
Find the rule of $g + 3jx$. (note: the values of a, b and j are unknown)
What I did was $$(g + 3jx) (a) = g(a) + 3j(a)$$ and $$(g + 3jx) (b) = g(b) + 3j(b)$$
My teacher did pretty much the same but removed the j from the answers. I admit I was a bit distracted and was too shy to ask. Why did he remove the j?