Answer:
x = - 2
Step-by-step explanation:
to find the x- intercept let h(x) = 0 and solve for x , that is
8[tex]\sqrt[3]{x-6}[/tex] + 16 = 0 ( subtract 16 from both sides )
8[tex]\sqrt[3]{x-6}[/tex] = - 16 ( divide both sides by 8 )
[tex]\sqrt[3]{x-6}[/tex] = - 2 ( cube both sides to clear the radical )
( [tex]\sqrt[3]{x-6}[/tex] )³ = (- 2)³
x - 6 = - 8 ( add 6 to both sides )
x = - 2
the x- intercept is - 2
