Question

If f(x) = x ^ (1/3) does f(a + b) = f(a) + f(b) ?

Answer 1

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)

`f(x)\text{ = }\sqrt[3]{x}`
`f(a+b)=\sqrt[3]{a+b}\text{ }\\e\text{ f(a) + f(b) = }\sqrt[3]{a}\text{ + }\sqrt[3]{b}`

The answer is:

f(x) = x ^ (1/3) ====> f(a + b) ≠ f(a) + f(b)