combining functions

Question

f(x)=4x and g(x)=cube of √x

Step 2 of 2 : Find the formula for (f/g)(x) and simplify your answer.

Then find the domain for (f/g)(x).

(f/g)(x)=???

Domain=???

Answer 1

So f(x) = 4x and g(x) = the cube root of x

f(x) = 4x = 4x^{1 - 1/3} = 4x^2/3

g(x) x^1/3 or x raised to the one-third power

The domain will be all real numbers.