Question

12, 3.1.52

If f(x) = x and g(x) = 2x³, find f[g(x)], and g[f(x)]

Answer 1

Given that
`f(x) = x` and
`g(x) = 2x^3`, we have

`f(g(x)) = f(2x^3) = 2x^3`

and

`g(f(x)) = g(x) = 2x^3`