Answer: g(x) = 2*x
Explanation:
We want to find the formula of g(x) if we know that g(x - 3) = 2*x - 6
Well, the first step is to find the expression (x - 3) = y in the g(x - 3)
Then:
g(x - 3) = 2*x - 6 = 2*x - 2*3
Now we can just take the common factor 2, and write this as:
2*x -2*3 = 2*(x - 3) = 2*y
then:
g( x - 3) = g(y) = 2*y
if we just replace x by y, we get:
g(x) = 2*x
This is the formula of g(x)