2 Answers

Jon Armstrong · Answer 1 · 2023-09-18T02:41:58+0000

Answer:

x = - 2

Explanation:

to find the x- intercept let h(x) = 0 and solve for x , that is

8
$\sqrt[3]{x-6}$ + 16 = 0 ( subtract 16 from both sides )

8
$\sqrt[3]{x-6}$ = - 16 ( divide both sides by 8 )

$\sqrt[3]{x-6}$ = - 2 ( cube both sides to clear the radical )

(
$\sqrt[3]{x-6}$ )³ = (- 2)³

x - 6 = - 8 ( add 6 to both sides )

x = - 2

the x- intercept is - 2

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