Answer
$A$
Work Step by Step
This exercise wants us to add two functions together:
$f(x) + g(x) = 5 \sqrt[3] {x^2} + 3 \sqrt[3] {x^2}$
The radicals of both functions are the same; therefore, when adding the two functions together, we only need to add the coefficients, keeping the radical as-is:
$f(x) + g(x) = (5 + 3) \sqrt[3] {x^2}$
Add the coefficients to simplify:
$f(x) + g(x) = 8 \sqrt[3] {x^2}$
This answer corresponds to option $A$.
