3. Let f(x) = 6x ^1/3 + 3 and g(x) = -2x ^1/3
– 5.

a) Find f(x) + g(x).

4. Let f(x) = 2x ^5/6

and g(x) = 8x ^2/3

a) Find
f(x)*g(x)

b) Find f(x) / g(x)
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1- what do you think the product of a nonzero rational number and an irrational number is? is it rational or irrational? make use of variables, the closure property of integers, and possibly a proof by contradiction to prove your hypothesis.2- why do we have to specify that the rational number must be nonzero when we determine what the product of a nonzero rational number and an irrational number is? if the rational number were 0, would it give us the same result we found in the first question?