Im() of a functions

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If ∀x ∈ {1,2,3,4} , $f$(x) = $ x^2 $ and ∀x ∈ {2,4,3,6} , $g$(x) = $ x+1 $.

Find $ \;Im(f \;o \;g) \;and \;Im(f \;o \;g)$

I dont understand the question much. If someone can help me it would be really helpful.
I know

$ (g\; o\; f ) (x)$ = $g(f(x)) = x^2 + 1$

$ (f\; o\; g )(x) $ = $f(g(x)) = (x+1)^2$

What is the meaning of Im () ?
Thanks in advance!

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