Final answer:
To find (g∘f)(x), substitute f(x) into g(x) and simplify.
Step-by-step explanation:
To find (g∘f)(x), we need to substitute the expression of f(x) into g(x) and simplify the resulting expression.
Given f(x) = 3x and g(x) = (x² - 2)/x:
(g∘f)(x) = g(f(x)) = g(3x)
Substituting f(x) = 3x into g(x), we get:
(g∘f)(x) = ((3x)² - 2)/(3x) = (9x² - 2)/(3x)
Simplifying further, we have:
(g∘f)(x) = 9x - (2/3x)