Respuesta :

Answer:

B

Step-by-step explanation:

Where f(x) and g(x) intersect on the x- axis the value of y is zero

Equate either of the 2 functions to 0 and solve for x

Using f(x) = 8x² - 2, then

8x² - 2 = 0 ( add 2 to both sides )

8x² = 2 ( divide both sides by 8 )

x² = [tex]\frac{2}{8}[/tex] = [tex]\frac{1}{4}[/tex]

Take the square root of both sides

x = ± [tex]\sqrt{\frac{1}{4} }[/tex] = ± [tex]\frac{1}{2}[/tex]

Hence k = [tex]\frac{1}{2}[/tex] → B