Question

Write the following as a composition of two or more non-identity functions.

(2x^3 + 2)/(x^3 - 2)

Answer 1

The given expression (2x^3 + 2)/(x^3 - 2) can be written as a composition of two non-identity functions as follows:

Let f(x) = 2x^3 + 2 and g(x) = x^3 - 2.

Then, the expression can be written as:

f(x)/g(x) = (2x^3 + 2)/(x^3 - 2)

So, the expression is a composition of the two non-identity functions f and g, written as:

h(x) = f(g(x)) = (2x^3 + 2)/(x^3 - 2)