Answer:
\((0,0)\)
Step-by-step explanation:
The given function is,
\(f(x)=(x-4)(x+4)\)
x-intercepts are the points where the graph meets x axis or the value of the function f(x) becomes 0.
So the x intercepts will be,
\(\Rightarrow f(x)=0\)
\(\Rightarrow (x-4)(x+4)=0\)
\(\Rightarrow x-4=0,x+4=0\)
\(\Rightarrow x=4,-4\)
So the x intercepts will be,
\((-4,0),(4,0)\)
Mid point of these two points will be,
\(=\left(\dfrac{-4+4}{2},\dfrac{0+0}{2}\right)=(0,0)\)
