### Home > CALC > Chapter 4 > Lesson 4.1.3 > Problem 4-35

4-35.

Given

*f*(*x*) = sin*x*,*g*(*x*) =*x*^{2}and, use compositions to express each of the following functions. Homework Help ✎*y*= sin(*x*^{2})*y*= sin^{2}(*x*)*y*= csc(*x*)

*x*² is the inner function. sin(*x*) is the outer function.

*y* = *f*(*g*(*x*))

*x*² is the outer function. What is the inner function?

Recall that *y* = csc(*x*) is the reciprocal of *y* = sin(*x*).

Refer to the hint in part (c).