### Home > CCA2 > Chapter 5 > Lesson 5.2.5 > Problem 5-112

5-112.

If *g*(*x*) = −(*x + *6)^{2} + 7 for *x* ≥ −6, find* f*(*g*(*x*)) and *g*(*f*(*x*)). What do the results tell you about *f*(*x*) and g(*x*)? *5-112 HW eTool* (Desmos). Homework Help ✎

Substitute *f*(*g*(*x*)).

It should look like

Substitute *g*(*f*(*x*)).

*f*(*g*(*x*)) = *g*(*f*(*x*)) = *x*.

They are inverses.

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