The number of intersections between the image of function f (x) = 4x − 4, X ≤ 1x2 − 4x + 3, x > 1 and the image of function g (x) = log2x is______ .

The number of intersections between the image of function f (x) = 4x − 4, X ≤ 1x2 − 4x + 3, x > 1 and the image of function g (x) = log2x is______ .

Draw the function f (x) = 4x − 4, X ≤ 1x2 − 4x + 3, x > 1 image and function g (x) = log2x image respectively: as shown in the figure. From the figure, we know that the number of their intersections is: 3, so the answer is: 3