### Home > CALC > Chapter 3 > Lesson 3.4.2 > Problem 3-167

3-167.

Define

*f*(*x*) and*g*(*x*) so that*h*(*x*) =*f*(*g*(*x*)), for the following functions given that*f*(*x*) ≠*x*and g(*x*) ≠*x*. Homework Help ✎*h*(*x*) = cos(3*x*− 11)*h*(*x*) = 3^{5−2}^{x}

*g*(*x*) = 3*x* − 11, the inner function. *f*(*x*) = cos*x*, the outer function.

Refer to hints above.

2* ^{x}* − 1 is the inner function.

_____________ is the outer function.