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

Answer:

midpoint is (0,0)

Step-by-step 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 $\frac{-4+4}{2} =0$

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