Please please HELP with this question!!?

Question

Let f = {(0, 2), (1, 4), (2, 6), (3, 8), (4, 10)} and g(x) = 3x – 1. Determine the domain of f(g(x)).

Answer 1

For the function that you have given, f(x ) = 2x + 2

so f(g(x)) = 2(3x - 1) + 2

f(g(x)) = 6x

The domain is all real x

Answer 2

From the set of points of f we can assume that F(x)=2x+2.
so F(G(x)) = 2(3x-1)+2 = 6x-2+2 = 6X
So the domain is all real numbers
or so I understand for math class years ago.

Answer 3

the domain of g(x) is all real numbers
the domain of f(x) is 0, 1, 2, 3, 4
So, the domain of f(g(x)) 0, 1, 2, 3, 4