### Home > CALC > Chapter 4 > Lesson 4.2.1 > Problem 4-49

4-49.

Given

*h*(*x*) below, define functions*f*(*x*) and*g*(*x*) so that*h*(*x*) =*f*(*g*(*x*)). (Note:*f*(*x*) ≠*x*and*g*(*x*) ≠*x*) Homework Help ✎*h*(*x*) = (3*x*^{3}− 12)^{2}+ 2

One possible solution is:*g*(*x*) = *x*^{2}

Find another possible solution.

One possible solution is:*g*(*x*) = 3*x*^{3}*f*(*x*) = (*x* − 12)^{2} + 2

Find another possible solution.