The transformation of 'f' is represented by 'g'. Write a rule for g. f(x)=\root(3)(x). Then show your check steps.

Question

The transformation of 'f' is represented by 'g'.

Write a rule for g.

f(x)=\root(3)(x).

Then show your check steps.

Answer 1

The transformation rule for 'g' based on 'f' is g(x) = x^(1/3).

To check:

f(x) = \sqrt[3]{x} g(x) = x^(1/3)

Let's verify with a sample value, say x = 8:

f(8) = \sqrt[3]{8} = 2

g(8) = 8^(1/3) = 2

This way is correct.