Composite function question

Question

Let g(x)=f(2x-3). We know that f(7)=12, what is a point on g(x)?

Answer 1

If 2x - 3 = 7, then x = 5 [add 3 to both sides and divide by 2]

That means when x = 5, f(2x - 3) = f(7) = 12

Since g(x) = f(2x-3), then g(5) = 12 so a point on g(x) is (5, 12)