Let f(3) = 4. Find a point that lies on the graph of g(x) = f(3x) + 1.
Point on f = (3.4)
In g(x) the "3" compresses the graph by a factor of 3
So.....the new x coordinate = 3/3 = 1
And in g(x), the "1" shifts the y coordinate of f up by 1 = 4 + 1 = 5
So ( 1, 5) lies on g(x)