F(x) = x2-6x+8
You didn't provide the Table, but it's asking what is the value of "x" when the function = 3.
So, we can equal the quadratic equation to 3 and find the value of x:
x2 - 6x + 8 = 3
x2 - 6x + 8 - 3 = 0
x2 - 6x + 5 = 0
a = 1
b = -6
c = 5
Apply the Quadratic Formula to solve the quadratic equation:
x = (-b ± √b2 - 4ac) / 2a
x = (-(-6) ± √(-6)2 - 4 (1) (5)) / 2 (1)
x = (6 ± √36 - 20) / 2
x = (6 ± √16) / 2
x = (6 ± 4) / 2
x1 = (6 + 4 ) / 2
x1 = 5
x2 = (6 - 4) / 2
x2 = 1
The value of x when f(x) = 3 is:
x1 = 5
x2 = 1