### Home > CALC > Chapter 4 > Lesson 4.4.2 > Problem 4-139

4-139.

For

*f*(*x*) = sin(*x*^{2}),, and , find the following functions and their domains. Homework Help ✎ *f*(*g*(*x*))*f*(*g*(*h*(*x*)))*h*(*f*(*g*(*x*)))*h*(*h*(*x*))

Careful: f(g(h(x))) has a restricted domain.

Domain: Denominator cannot equal zero. For what value(s) of *x* does sin(*x* − 2) = 0? Also, due to the square root in the original function, *x* – 2 ≥ 0.

Domain: *x* > 2 and *x* ≠ 2+,*πn*, where *n* is an integer value.

Simplify!