In this case, we'll have to carry out several steps to find the solution.
Step 01:
Data
f(x) = x ^ (1/3)
Step 02:
f(a + b) = f(a) + f(b)
[tex]f(x)\text{ = }\sqrt[3]{x}[/tex][tex]f(a+b)=\sqrt[3]{a+b}\text{ }\ne\text{ f(a) + f(b) = }\sqrt[3]{a}\text{ + }\sqrt[3]{b}[/tex]The answer is:
f(x) = x ^ (1/3) ====> f(a + b) ≠ f(a) + f(b)
