Question

What is the midpoint of the x-intercepts of
f(x) = (x – 4)(x + 4)?

Answer 1

Since the x intercepts are when f(x)=0, they're at x=4 and x=-4 due to that 4-4=0 and -4+4=0 and anything times 0 is 0. Next, to find the midpoint, we add the numbers and divide by 2, getting (-4-(-4))/2=0/2=0 for our x value, and since f(x)=y and that's 0 since it's a x intercept, we have (0,0)

Answer 2

midpoint is (0,0)

Explanation:

the midpoint of the x-intercepts of

`f(x) = (x - 4)(x + 4)`

To find the midpoint of x intercepts, we need to find the x intercepts first

we find x intercepts by replacing f(x) with 0

`0 = (x - 4)(x + 4)`

Set each factor =0 and solve for x

`x-4=0 , x=4`

`x+4=0, x=-4`

X intercepts are -4 and 4

Midpoint of -4 and 4 is
`(-4+4)/(2) =0`

X intercepts lies on x axis . So midpoint is (0,0)