The relation between the values described for x and g(x) are satisfied by the last table. When x = 1; g(x) = 2, x = 2; g(x) = 8 and x = 3; g(x) = 14.
The given two functions are,
f(x) = 3x - 4
g(x) = f(2x)
Here by, putting x as 2x in f(x),
f(2x) = 3(2x) - 4
f(2x) = 6x - 4
Because, g(x) = f(2x),
g(x) = 6x - 4
Now, putting the value of x in g(x) as 1, 2, and 3.
Putting x = 1 in g(x),
g(1) = 6(1)-4
g(1) = 2
Now, putting x = 2 in g(x)
g(2) = 6(2) - 4
g(2) = 12 - 4
g(2) = 8
Finally, putting x = 3 in g(x),
g(3) = 6(3) - 5
g(3) = 18 - 4
g(3) = 14
So, as we can see from the options, the last of the provided four tables is satisfying the values of x and g(x).
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