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

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