Question

F(x)=sin^(3)\sqrt(x), express F(x) as f(g(h(x))). What is f(x),g(x), and h(x) ?

Answer 1

Explanation:

`f(x) = \sin {}^(3) ( √(x) )`

We can rewrite this as

`( \sin( √(x) ) ) {}^(3)`

The outermost function will be f(x), the power(3), is the most outermost function s o

`f(x) = {x}^(3)`

The second outermost function is the operator sin(x) so

`g(x) = \sin(x)`

The innermost function is sqrt(x)

`h(x) = √(x)`