I need help on this problem

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