### Home > CALC > Chapter 3 > Lesson 3.3.2 > Problem 3-104

3-104.

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*) = (2*x*− 5)^{3}*h*(*x*) = sin(3*x*− 1)

*g*(*x*) = 2*x* − 5*f*(*x*) = *x*³

*g*(*x*) is the inner function.*f*(*x*) is the outer function.

The 'inner' function can usually be found 'inside' (parenthesis), |absolute value| or

Refer to previous hints.