99.7k views
1 vote
F(x)=sin^(3)\sqrt(x), express F(x) as f(g(h(x))). What is f(x),g(x), and h(x) ?

User Pmdarrow
by
7.4k points

1 Answer

5 votes

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)

User Nolk
by
8.2k points

No related questions found